a basketball player shoots toward a basket 6.1 m away and 3.0 m above the floor. if the ball is released 1.8 m above the floor at an angle of above the horizontal, what must the initial speed be if it were to go through the basket?
Answers
The initial speed at which the ball should be released so that it goes through the basket is 7.5 m/s.
Distance between the basket and the player, x = 6.1 mHeight of the basket from the floor, y = 3 mHeight at which the ball is released, h = 1.8 mThe horizontal distance between the point where the ball is released and where it hits the ground, x is given by the expression:
x = ut cos θ
where u is the initial velocity of the ball, θ is the angle at which the ball is released, and t is the time for which the ball remains in the air. The time for which the ball remains in the air, t can be calculated as:
t = (h - u sin θ) / g
where g is the acceleration due to gravity, which is 9.8 m/s²
Substituting the given values in the above equations, we get x = u cos θt = (h - u sin θ) / gt = (1.8 - u sin θ) / gt
When the ball reaches the basket, it should have a horizontal displacement equal to the distance between the basket and the player, x, and a vertical displacement equal to the height of the basket from the ground, y. The horizontal and vertical displacements can be calculated using the following expressions:x = ut cos θy = h + ut sin θ - 0.5gt²where t is the time at which the ball hits the basket.
Substituting the given values in the above equations, we get:
x = u cos θt = (h - u sin θ) / gt = (1.8 - u sin θ) / gx = ut cos θy = h + ut sin θ - 0.5gt²
where t is the time at which the ball hits the basket.
Now, substituting t in the expressions for x and y:x = u cos θ * (1.8 - u sin θ) / g = 6.1 m y = 1.8 + u sin θ * (1.8 - u sin θ) / g - 0.5 * 9.8 * [(1.8 - u sin θ) / g]² = 3 m
Simplifying the above equations: 1.8u cos θ - u³ sin² θ / g = 6.1
cos θ + 1.8u sin θ - 0.5(1.8 - u sin θ)² = 3
On solving the above two equations simultaneously, we get the value of initial velocity, u as: u = 7.5 m/s (approx)
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Related Questions
True or False—Tension is the result of opposite forces in a connector, such as a string, rope, chain or cable, that pulls each point of the connector apart in the direction parallel to the length of the connector. At the ends of the connector, the tension pulls toward the center of the connector.
Answers
Tension is the result of opposite forces in a connector. The tension pulls each object towards the center of the connector. Thus, the given statement is true.
What is Tension?
Tension is the opposite force that is exerted by a rope, string, cable, or similar object on one or more objects. Anything which is pulled, hung, supported, or swung from a rope, string, and cable, etc. is subjected to the tension force. Like all the other forces, tension can also accelerate objects or cause them to deform from their original structure.
Newton's third law is that when a contact force acts between any two objects, both the objects experience the same magnitude of force, but in opposite directions to each other. In tension, the two objects which are attached with the rope pull on each other.
To determine the magnitude of tension, a formula is used:
2T sin(α) = m × g
where m × g represents is the weight of the suspended object.
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A simple 15.2 cm reflecting telescope can achieve 1 second of arc resolution for visible light. Many radio telescopes study a particular radio wavelength of 21 cm. Complete parts a −d using the above information. a. Use the Raleigh criteron to determine how large a radio telescope aperature must be to achieve this resolution at 21 cm. b. Why must the aperture of a radio telescope be much larger than that of an optical telescope? c. Why is it possible to resolve two predominantly blue stars when the same telescope can not resolve two simarily separated red stars? d. In the galaxy pictures of 5 b, which photograph corresponds to the largest aperture?
Answers
a)The aperture size of the radio telescope needs to be approximately 0.27 meters b)The aperture of a radio telescope needs to be much larger than that of an optical telescope because radio waves have much longer wavelengths compared to visible light. c)the resolving power of a telescope depends on the ratio of the wavelength of light.
a. To determine the aperture size of a radio telescope to achieve a resolution at 21 cm, we can use the Rayleigh criterion, which states that the minimum resolvable separation (δθ) is given by:
δθ = 1.22 * (λ / D)
Where λ is the wavelength of the radiation and D is the diameter of the telescope's aperture.
Given that the radio wavelength is 21 cm (or 0.21 m), and we want to achieve the same resolution as the optical telescope (1 second of arc), we can rearrange the formula to solve for D:
D = 1.22 * (λ / δθ)
D = 1.22 * (0.21 m / 1 second of arc)
Calculating the result:
D ≈ 0.27 m
Therefore, the aperture size of the radio telescope needs to be approximately 0.27 meters to achieve a resolution of 1 second of arc at a wavelength of 21 cm.
b. The Rayleigh criterion tells us that the resolution of an instrument is inversely proportional to the wavelength.
Since radio waves have longer wavelengths, the telescope's aperture needs to be larger to achieve the same resolution as an optical telescope. This is because a larger aperture collects more incoming waves and allows for finer spatial detail to be resolved.
c. The ability to resolve two objects using a telescope depends on the size of the aperture relative to the wavelength of the radiation. When it comes to resolving stars, the resolving power of a telescope depends on the ratio of the wavelength of light to the size of the telescope's aperture (λ/D).
Blue light has a shorter wavelength compared to red light. Since the resolving power is directly proportional to the wavelength, a shorter wavelength of blue light allows for better resolution.
Therefore, two predominantly blue stars can be resolved because their shorter wavelength allows for finer detail to be distinguished, while the same separation between two predominantly red stars cannot be resolved due to the longer wavelength.
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Determine the fans airflow in m^3/s.Fan has an airflow of about 1.55x10^3 ft^3/minMeaning that about 1.55x10^3 cubic feet of air move over the fan blades each minute
Answers
ANSWER:
0.732 m^3/s
STEP-BY-STEP EXPLANATION:
We must convert from ft^3/min to m^3/s.
To do this, we must take into account the following conversion factors:
1 meter is equal to 3.28 feet
1 minute is equal to 60 seconds
Knowing this, we do the conversion just like this:
\(1.55*10^3\frac{ft^3}{min}\cdot\left(\frac{1\text{ m}}{3.28\text{ ft}}\right)^3\cdot\frac{1\text{ min}}{60\text{ s}}=0.732\text{ m}^3\text{/s}\)The fans airflow in m^3/s is 0.732
Name the type of component that has a greater resistance as the current through it increases
Answers
Answer:
filament bulb, filament lamp
Explanation:
More length of a wire is a component that has a greater resistance as the current through it increases.
The resistance of a long wire is greater than the resistance of a short wire because electrons collide with more ions present in the wire as they pass through. The moving electrons can collide with the ions present in the metal.
This makes more difficult for the current to flow and causes resistance in the wire so we can conclude that more length of a wire is a component that has greater resistance as more current passes through it.
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Question 1 of 10
2 Points
A piece of ice absorbs heat and melts. Which statement best describes the
changes in the ice as it melts?
A. The kinetic energy of the particles increases as the temperature
increases.
B. The potential energy of the particles increases as intermolecular
forces are overcome.
C. The potential energy of the particles increases as the temperature
increases.
D. The kinetic energy of the particles increases as intermolecular
forces are overcome.
Answers
option A is correct✔✔☑
Which answer best explains why clouds usually form high in the sky?
It is cool enough for the water vapor to begin condensing
It is warm enough for the water vapor to begin condensing
It is dry enough for precipitation to form from
it is dry enough for water vapor to form a cloud
Answers
Answer: As air rises the moisture in it slowly reaches its saturation point and when this happens, tiny crystals of water start to condense and form clouds.
Explanation:
Starting at point 0, you travel 500 m on a straight road that slopes upward at a constant angle of 5 degrees. What is your height above the starting point? Answer in meters to the nearest centimeter
Answers
Answer:
43.58 m
Explanation:
If you travel 500 m on a straight road that slopes upward at a constant angle of 5 degrees
Using trigonometry ratio
Sin 5 = opposite/hypothenus
Where the hypothenus = 500m
Opposite = height h
Sin 5 = h/500
Cross multiply
500 × sin 5 = h
h = 500 × 0.08715
h = 43.58m
Therefore, the height above the starting point is equal to 43.58m
a solid cylinder of radius 1.0 m and mass 10 kg rotates about its axis. when its angular velocity is 10 rad/s, its angular momentum ( in kg.m^2/s) is
Answers
Therefore, the angular momentum of the cylinder is 50 kg m²/s.
The formula for angular momentum is given by L = Iω where, L = angular momentum, I = moment of inertia, and ω = angular velocity. I = MR²/2I = moment of inertia = MR²/2 Where M = mass of the cylinder and R = radius of the cylinder.∴ I = 10 × 1²/2 = 5 kg-m²Now, angular velocity ω = 10 rad/s Angular momentum L = IωL = 5 × 10L = 50 kg m²/s .
If we define angular momentum as:
any rotating object's characteristic determined by moment of inertia times angular velocity.
It is a characteristic of rotating bodies determined by the sum of their moment of inertia and angular velocity. Since it is a vector quantity, the direction must also be taken into account in addition to the magnitude.
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The angular momentum of the cylinder when its angular velocity is 10 rad/s is 50 kg.m²/s.
The angular momentum L of a solid cylinder of radius r and mass m rotating about its axis is given by the formula: L = Iω
Where, I = moment of inertia of the cylinder
ω = angular velocity of the cylinder.
The moment of inertia of a solid cylinder of radius r and mass m about its axis is given by the formula: I = (1/2) mr²
Therefore, L = Iω= (1/2) mr²ω
The radius of the cylinder, r = 1.0 m
The mass of the cylinder, m = 10 kg.
The angular velocity of the cylinder, ω = 10 rad/s
Substituting the values in the above expression,
L = (1/2) (10 kg) (1.0 m) ² (10 rad/s) = 50 kg.m²/s
Therefore, the angular momentum of the cylinder when its angular velocity is 10 rad/s is 50 kg.m²/s.
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Need HELP ASAP PLEASE THANK YOU TO ANYBODY THAT HELPS!!!!!!!!!!!!!!
Answers
Answer:
the slop is y x ray down
Explanation:
Select the correct statement(s) regarding the polarization of Radio Frequency (RF) waves.
a. the magnetic field of the RF wave determines the wave’s polarization
b. both the magnetic and electric fields of the RF waves determine the wave’s polarization
c. the electric field of the RF wave determined the wave’s polarization
d. the RF wave is not part of the electromagnetic (EM) spectrum, and as such, has no polarization
Answers
The correct statement regarding the polarization of Radio Frequency (RF) waves is:
c. The electric field of the RF wave determines the wave's polarization.
Polarization refers to the orientation of the electric field vector of an electromagnetic wave. For RF waves, the electric field is the determining factor for polarization. The magnetic field, although present and perpendicular to the electric field, does not affect the polarization of RF waves. RF waves are part of the electromagnetic (EM) spectrum, which encompasses a wide range of electromagnetic waves including radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays. Each of these waves can be polarized, and in the case of RF waves, it is the electric field that determines their polarization.
The polarization of RF waves is determined by the orientation of the electric field vector. The magnetic field does not affect the polarization of RF waves. RF waves are part of the electromagnetic spectrum and can exhibit polarization, with the electric field being the determining factor.
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(a) An elevator of mass m moving upward has two forces acting on it: the upward force of tension in the cable and the downward force due to gravity. When the elevator is accelerating upward, which is greater, T or w? (b) When the elevator is moving at a constant velocity upward, which is greater, T or w? (c) When the elevator is moving upward, but the acceleration is downward, which is greater, T or w? (d) Let the elevator have a mass of 1 500 kg and an upward acceleration of 2.5 m/s2. Find T. Is your answer consistent with the answer to part (a)? (e) The elevator of part (d) now moves with a constant up- ward velocity of 10 m/s. Find T. Is your answer consistent with your answer to part (b)? (f) Having initially moved upward with a constant velocity, the elevator begins to ac- celerate downward at 1.50 m/s2. Find T. Is your answer consistent with your answer to part (c)?
Answers
When accelerating upward, T > w. At constant velocity upward, T = w. Upward motion with downward acceleration, w > T. Tension force T can be calculated using T = m * (a + g) in part (a), T = m * g in part (b), and T = m * (a - g) in part (c).
In this scenario, the elevator experiences a net upward force. According to Newton's second law of motion (F = ma), the net force is equal to the mass of the elevator multiplied by its acceleration. Since the elevator is accelerating upward, the tension force in the cable must be greater than the weight force to provide the necessary net upward force.
At a constant velocity, the elevator experiences zero net force. The tension force in the cable and the weight force due to gravity are balanced, resulting in an equilibrium situation. The tension force is equal to the weight force, ensuring the elevator maintains a steady upward motion.
In this case, the elevator is decelerating or slowing down while still moving upward. The net force acting on the elevator is downward, and it is provided by the weight force due to gravity. The tension force in the cable is smaller than the weight force to create this net downward force.
Using Newton's second law of motion (F = ma), we can determine the net force acting on the elevator. The net force is equal to the tension force minus the weight force, which is the product of the mass and acceleration. Setting up the equation, we have T - w = m * a. Substituting the known values and solving for T, we find the tension force to be T = m * (a + g), where g is the acceleration due to gravity. This result is consistent with the answer in part (a) because the elevator is accelerating upward.
At a constant velocity, the elevator experiences zero net force, so the tension force in the cable must be equal to the weight force. Therefore, T = w = m * g. Plugging in the given values, we find that T = 1,500 kg * 9.8 m/s², which confirms the consistency with the answer in part (b).
In this case, the net force acting on the elevator is downward, which is provided by the weight force due to gravity. The tension force in the cable is smaller than the weight force, creating the necessary net downward force. Using Newton's second law of motion, T - w = m * a, we can determine T. Plugging in the given values, we find T = m * (a - g), where g is the acceleration due to gravity. This result is consistent with the answer in part (c) because the elevator is decelerating or slowing down while moving upward.
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Suppose you had an electrical circuit and decided to change it into a new circuit. does the equivalent resistance of the new circuit compare to the old one ? If you were to insert additional resistors in series, how 。
a. No effect on the equivalent resistance
b. The equivalent resistance decreases
c. The equivalent resistance increases
Answers
Answer:
Yes becuase the circuit is fryed like sum french fries so yes yes is the yes option yes okay, yes but no
Explanation:
If you were to insert additional resistors in series, the equivalent resistance increases. The correct option is c.
What is equivalent resistance?The resistances when connected in series has the equivalent resistance equal to the sum of all the individual resistances.
In the series circuit, the equivalent resistance is
Req= R₁ + R₂ + R₃
Suppose you had an electrical circuit and decided to change it into a new circuit.
The current through the circuit is the same for each resistor in a series circuit and is equal to the applied voltage divided by the equivalent resistance.
Yes, the equivalent resistance of the new circuit compare to the old one.
If you were to insert additional resistors in series, the equivalent resistance increases.
Thus, the correct option is c.
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The Si unit of potential difference is a) volt b) JA⁻¹s⁻¹ c)JC⁻¹ d) All the above
Answers
Answer:
a) Volt
Explanation:
The standard metric unit on electric potential difference is the volt.
answer
all of the above
explanation
as we know that the si unit of potential difference is volt
which is equal to j/c and j/c is equal to j/a.s so the correct answer is all of the above
suppose a 20.0-kg monkey climbs a vine. what is the tension in the vine if they climbs at a constant speed?
Answers
The tension in the vine if a monkey climbs a vine at a constant speed is 0 Newton.
The magnitude of tension force depends on the amount of force applied to the ends of the string or rope, as well as the properties of the string or rope itself, such as its length, thickness, and elasticity.
Tension force is often used in mechanical systems to transfer forces or transmit power. For example, a cable used to lift a heavy object will experience tension forces as it resists the weight of the object. Similarly, a belt in a car engine experiences tension forces as it transfers power from the engine to the wheels.
Mass of the monkey, m = 20 kg.
Let the tension in the vine be T.
The acceleration of the monkey is zero since the speed is constant.
Using the second law of motion,F = ma
Here, acceleration, a = 0F = 0N = ma= 20 x 0= 0 N
Tension in the vine is zero.
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For ease of installation, a cabin that is used occasionally is supplied with baseboard electric heating. These are 30 amp circuits powered with 220 volts. To supply 70,000Btu/h (about 20kW)1. How many circuits are needed, and2. What is the resistance of each baseboard "strip" in a single circuit?
Answers
To supply 70,000 BTU/h (about 20 kW) of baseboard electric heating to the cabin, you would need 4 circuits, and the resistance of each baseboard strip in a single circuit would be approximately 7.3 ohms.
To determine how many circuits are needed and the resistance of each baseboard strip in a single circuit for a cabin with 70,000 BTU/h (about 20 kW) of baseboard electric heating, we'll need to follow these steps:
1. Convert the desired heating capacity to watts:
70,000 BTU/h * (1 kW / 3412.14 BTU/h) ≈ 20,500 W
2. Calculate the power per circuit:
Power per circuit = Voltage x Current = 220 V x 30 A = 6,600 W
3. Determine the number of circuits needed:
Number of circuits = Total Power / Power per circuit = 20,500 W / 6,600 W ≈ 3.1
Since you can't have a fraction of a circuit, you'll need 4 circuits to supply the required power.
4. Calculate the total resistance for each circuit:
Resistance (R) = Voltage² / Power = (220 V)² / 6,600 W ≈ 7.3 ohms.
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A coconut at rest suddenly explodes into two pieces. no net external force is applied to it.One piece with mass 2m lands a distance d to the right of the starting point. The second piece has mass m. We can ignore air resistance. where dow stew swcond piece land?
Answers
Answer:
To the Left
Explanation:
compared to a maritime tropical air mass, a maritime polar air mass has?
Answers
A maritime polar air mass has relatively higher moisture and is relatively cooler than the tropical air mass.
Air masses:Maritime polar (mP) is cold but moist due to its origination over the oceans. The desert region air masses (hot and dry) are designated by ‘cT’ for ‘continental tropical’. As these air masses move around the earth they can begin to acquire additional attributes.
The continental Tropical (cT) air mass originates in arid or desert regions in the middle or lower latitudes, principally during the summer season. It is strongly heated in general, but its moisture content is very low.
Continental tropical air masses are extremely hot and dry. Arctic, Antarctic, and polar air masses are cold. The qualities of arctic air are developed over ice and snow-covered ground. Arctic air is deeply cold, colder than polar air masses
Maritime Polar (mP) air masses develop over the polar areas of both the Northern and the Southern hemispheres. They generally contain considerably more moisture than the cP air masses. As they move inland in middle and high latitudes, heavy precipitation may occur.
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Students conducted a pendulum experiment to demonstrate the conservation of
energy principle. The diagram shows the pendulum at different points of its swing.
Which number(s) on the diagram would correspond to the point(s) of the pendulum's
swing with the least kinetic energy?
Answers
Answer:
1 and 5
Explanation:
Kinetic energy is the energy that an object possesses due to its motion. Since the pendulum has 0 velocity at points 1 and 5, and it is at those points that the pendulum is furthest from its equilibrium position, we say that it has no kinetic energy and maximum potential energy.
Suppose a(t) = 2 measured in seconds. Vt + 4e -5, V(0) = - 4, and S(0) = 5, where act), v(t) and s(t) represent the acceleration, velocity and distance from the starting point of an object. Distance is measured in meters and time is a. Find v(t). b. Find s(t). c. Find the velocity when t = 9. a. v(t) = b. s(t) = C. The velocity is m/sec. (Type an integer or decimal rounded to two decimal places as needed.)
Answers
a) The value of the required velocity is v(t) = t²/2 - 4t + 4e⁻⁵
b) The value of the required distance is S(t) = t³/6 - 2t² + 4e⁻⁵t + 5
c) The value of the velocity when t = 9 is approximately -28.2 m/sec
(a)To find v(t), we need to integrate a(t) first
a(t) = 2∫
a(t) dt = ∫ 2
dt = 2t + C1
Here, C1 is the constant of integration
Next, we need to integrate v(t) by substituting the value of a(t) into it
v(t) = ∫ (2t + C1)
dt= t² + C1t + C2
Here, C2 is another constant of integration
v(0) = - 4⇒ C2 = - 4
Also, given: v(t) = Vt + 4e⁻⁵
Comparing the above two equations:
v(t) = Vt + 4e⁻⁵ = t² + C1t - 4
On differentiating with respect to t, we geta(t) = 2
Therefore, we get the differential equation as:
Vt + 4e⁻⁵ = t² + C1t - 4 - - - - - - (1)
To find v(t), we need to solve this differential equation
Substituting t = 0, in (1), we get
-4 + 4 = 0 + C1(0)⇒ C1 = 0
Therefore, the differential equation becomes:
Vt + 4e⁻⁵ = t² - 4
On differentiating the above equation w.r.t t, we get:
a(t) = 2
Therefore, we get
v(t) = t²/2 - 4t + 4e⁻⁵ - - - - - - (2)
Thus, the required velocity is given by:
v(t) = t²/2 - 4t + 4e⁻⁵
Part (b) To find s(t), we need to integrate v(t) first
v(t) = t²/2 - 4t + 4e⁻⁵∫ v(t)
dt = ∫ (t²/2 - 4t + 4e⁻⁵)
dt= t²/6 - 2t² + 4e⁻⁵t + C3
Here, C3 is the constant of integration
Also, given that S(0) = 5⇒ C3 = 5
Therefore, we get
S(t) = t³/6 - 2t² + 4e⁻⁵t + 5 - - - - - - (3)
Thus, the required distance is given by:
S(t) = t³/6 - 2t² + 4e⁻⁵t + 5
Part (c) To find the velocity when t = 9We can use the value of v(t) obtained in part (a)⇒ v(9) = (9)²/2 - 4(9) + 4e⁻⁵⇒ v(9) = - 28.2 (approx)
Thus, the velocity when t = 9 is -28.2 (approx)m/sec.
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Question 5
5. What subatomic particle has no electrical charge?
•neutron
•proton
•electron
•atom
Answers
Answer: A Neutron.
I know this is correct. Thank's and yw :3
protons have a positive charge
electrons have a negative charge
Atoms mainly consist of a positively charged nucleus surrounded by one more negatively charged electrons, but overall the atom has no charge so it would neutral!
hope this helps!!
Which of the following happens to an object in uniform circular motion?
A. it’s velocity changes
b. it’s speed changes
c. it’s centripetal acceleration changes
d. the direction of its velocity stays the same
Answers
Answer:its velocity changes
Explanation:
during a snowball fight, two balls with masses 0.4 and 0.6 kg collide head on and form a single mass. each snowball had an initial velocity of 15 m/s. what is the speed of the mass, immediately after collision?
Answers
During a snowball fight, two balls with masses 0.4 kg and 0.6 kg collide head on and form a single mass. Each snowball had an initial velocity of 15 m/s. The speed of the mass, immediately after collision, can be calculated using the Law of Conservation of Momentum.
The Law of Conservation of Momentum states that when two objects collide in an isolated system, the momentum of the system remains constant.. This can be expressed mathematically as: p1 + p2 = p3, where p1 and p2 are the momentums of the two objects before the collision and p3 is the momentum of the combined mass after the collision.
In this case, the momentums of the two objects before the collision are:
p1 = 0.4 kg × 15 m/s = 6 kg · m/s
p2 = 0.6 kg × 15 m/s = 9 kg · m/s
Since the total momentum after the collision is equal to the sum of the momentums before the collision, we can calculate the momentum of the combined mass after the collision, p3, as follows:
p3 = p1 + p2
p3 = 6 kg · m/s + 9 kg · m/s
p3 = 15 kg · m/s
The mass of the combined object is 1 kg, since the masses of the two objects add up to 1 kg. We can now use this to calculate the speed of the combined object after the collision:
Speed = Momentum/Mass
Speed = 15 kg · m/s/1 kg
Speed = 15 m/s
Therefore, the speed of the mass immediately after the collision is 15 m/s.
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A Question 29 (5 points) Retake question Consider a 2.15-mC charge moving with a speed of 14.0 km/s in a direction that is perpendicular to a 0.100-T magnetic field. What is the magnitude of the force
Answers
The magnitude of the force acting on the 2.15-mC charge moving with a speed of 14.0 km/s in a direction that is perpendicular to a 0.100-T magnetic field is 3.01 × 10⁻³ N.
The equation to determine the magnitude of the force that acts on a charged particle in a magnetic field is given by:
F = Bqv,
where: F is the force on the charge particle in N
q is the charge on the particle in C.
v is the velocity of the particle in m/s.
B is the magnetic field in Tesla (T)
Therefore, substituting the given values in the equation above,
F = (0.100 T) (2.15 × 10⁻⁶ C) (14000 m/s)
= 3.01 × 10⁻³ N
Thus, the magnitude of the force that acts on the charge particle is 3.01 × 10⁻³ N.
Therefore, the magnitude of the force acting on the 2.15-mC charge moving with a speed of 14.0 km/s in a direction that is perpendicular to a 0.100-T magnetic field is 3.01 × 10⁻³ N.
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What is the initial velocity of a ball that starts at 2.4 meters, is in the air for a total of 4.7 seconds and travels a distance of 18.6 meters
Answers
Answer:
the initial velocity is 3.9
Explanation:
v=D/T
h=vi.t-1/2gt²
(18.6-2.4)=vi x 4.7-1/2 x 10 x (4.7)²
16.2=vi x 4.7 - 110.45
vi=26.95 m/s
what is the minimum coating thickness (but not zero) that will minimize the reflection at the wavelength of 700 nm where solar cells are most efficient?
Answers
The minimum coating thickness of the material to minimize reflection at 700 nm will be approximately 0.05 mm.
The minimum coating thickness of a material to minimize reflection depends on various factors such as the refractive index of the material, the wavelength of the incident light, and the angle of incidence of the light.
In general, a thicker coating can provide better reflection control, but it may also increase the cost and weight of the coating. Therefore, the optimal coating thickness will depend on the specific application and trade-offs between reflection control and other factors.
Assuming that the material has a refractive index of 1.5 and the wavelength of interest is 700 nm, the minimum coating thickness can be calculated using the formula:
d = 1 / (n * λ)
where d is the coating thickness, n is the refractive index of the material, and λ is the wavelength of the incident light.
For a wavelength of 700 nm, the minimum coating thickness can be calculated as:
d = 1 / (1.5 * 700) ≈ 0.05 mm
Therefore, the minimum coating thickness of the material to minimize reflection at 700 nm will be approximately 0.05 mm. However, it is important to note that this is only an approximate value and the actual minimum coating thickness may be different depending on the specific material and other factors.
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Based on its location on the periodic table, which element is the best
electrical insulator?
A. Iron (Fe)
O B. Sulfur (S)
O C. Calcium (Ca)
D. Silver (Ag)
Answers
Answer:
B
Explanation:
Nonmetal is better insulator than metals
Answer:
B
Explanation:
Just took the quiz.
Ax is positive if is directed ______; Ay is positive if is directed ______. A. Right, up. B. Left, up. C. Right, down. D. Left, down
Answers
Ax is positive if is directed right. Ay is positive if is directed up.
Acceleration is nothing but the rate of change of velocity of an object. It is a vector quantity.
If the acceleration and velocity are pointing in the same direction, the item will be travelling more quickly. The object will also slow down if the acceleration is pointing in the opposite direction as the velocity.
When an acceleration vector is resolved into two components, we get Ax along x-direction and Ay along y- direction.
Assuming the coordinate system, we know the right side of the coordinate system is positive and to the left it is negative. Along the y-direction, acceleration is positive when going upwards and negative while going downwards on coordinate axes.
Thus, Ax is positive if it is directed right and Ay is positive if it is directed up.
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the maximum force that a grocery bag can withstand without ripping is 250 n. suppose that the bag is filled with 20 kg of groceries, and lifted with an acceleration of 5.0 m/s2. do the groceries stay in the bag? justify your answer with calculations.
Answers
Yes, the groceries stay in the bag
What is newton's second law?
Newton's Second Law of Motion says that when a force acts on a mass, the mass will speed up (object). This law of motion can be seen at work when you ride your bike. The mass is your bike. The force is your leg muscles pushing on the pedals of your bike.
We calculate the force that is exerted on the bag using Newton's second law, which states that,
F= ma
m is the mass of the object in kilograms
a is the acceleration of the object in meters per second squared. And so, we got:
F= 20kg X 5 m^2
= 100 N
So, a force of 100 newtons is exerted on the bag. Since that is less than the required 250 newtons needed to rip the bag, then the bag doesn't rip, and so the groceries stay in the bag, due to the normal force exerted on them by the bag.
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spheres are not perfect in space. But <> is in the cause of their shape.
Answers
Answer:
\( \boxed { \tt{gravitational \: pull(force)}}\)
A power station that is being started up for the first time generates 6120 MWh of energy over a 10 hour period. (i) If the rated power at full capacity is 660 MW, calculate how long it takes the power station to reach its full power output. (You may assume a constant increase in power from zero to full power) (ii) State what type of power station can be started up fastest and explain why the start-up times for other types of power station are slower. Explain briefly, how this is relevant to optimising the usage of windfarms. c) What is the Bremsstrahlung effect and how can it be avoided in shielding design? d) Sketch the electromagnetic field output from an antenna, describing in detail the two main regions in the output field.
Answers
(i)Therefore, it takes approximately 9.27 hours to reach its full power output.(ii)It is necessary to have quick-start power sources, this helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.(c)The Bremsstrahlung effect needs to be considered to ensure proper radiation protection.(d) The near-field region is characterized by strong electric and magnetic fields while the far-field region represents the radiation zone.
(i) To calculate the time it takes for the power station to reach its full power output, we can use the formula:
Energy = Power × Time
Given that the power station generates 6120 MWh of energy over a 10-hour period and the rated power at full capacity is 660 MW, we can rearrange the formula to solve for time:
Time = Energy ÷ Power
Converting the energy to watt-hours (Wh):
Energy = 6120 MWh × 1,000,000 Wh/MWh = 6,120,000,000 Wh
Converting the power to watt-hours (Wh):
Power = 660 MW × 1,000,000 Wh/MW = 660,000,000 Wh
Now we can calculate the time:
Time = 6,120,000,000 Wh ÷ 660,000,000 Wh ≈ 9.27 hours
Therefore, it takes approximately 9.27 hours (or 9 hours and 16 minutes) for the power station to reach its full power output.
(ii) The type of power station that can be started up fastest is a gas-fired power station. Gas-fired power stations can reach full power output relatively quickly because they use natural gas combustion to produce energy.
In contrast, other types of power stations, such as coal-fired or nuclear power stations, have longer start-up times. Coal-fired power stations require time to heat up the boiler and generate steam, while nuclear power stations need to go through a complex series of procedures to ensure safe and controlled nuclear reactions.
This is relevant to optimizing the usage of windfarms because wind power is intermittent and dependent on the availability of wind. This helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.
(c) The Bremsstrahlung effect is a phenomenon that occurs when charged particles, such as electrons, are decelerated or deflected by the electric fields of atomic nuclei or other charged particles. As a result, they emit electromagnetic radiation in the form of X-rays or gamma rays.
In shielding design, the Bremsstrahlung effect needs to be considered to ensure proper radiation protection. These materials effectively absorb and attenuate the emitted X-rays and gamma rays, reducing the exposure of individuals to harmful radiation.
(d) The electromagnetic field output from an antenna can be represented by two main regions:
Near-field region: This region is closest to the antenna and is also known as the reactive near-field. It extends from the antenna's surface up to a distance typically equal to one wavelength. In the near-field region, the electromagnetic field is characterized by strong electric and magnetic field components.
Far-field region: Also known as the radiating or the Fraunhofer region, this region extends beyond the near-field region.The electric and magnetic fields are perpendicular to each other and to the direction of propagation. The far-field region is further divided into the "Fresnel region," which is closer to the antenna and has some characteristics of the near field, and the "Fraunhofer region," which is farther away and exhibits the properties of the far-field.
The transition between the near-field and the far-field regions is gradual and depends on the antenna's size and operating frequency. The size of the antenna and the distance from it determine the boundary between these regions.
In summary, the near-field region is characterized by strong electric and magnetic fields, while the far-field region represents the radiation zone where the energy is radiated away as electromagnetic waves.
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