Answer:
A
Explanation:
A plane starting at rest at one end of a runway undergoes a uniform acceleration of
48 m/s for 13 seconds before takeoff. What is its velocity at takeoff?
A 200 g hockey puck is launched up a metal ramp that is inclined at a 30° angle. The coefficients of static and kinetic friction between the hockey puck and the metal ramp are μs = 0.40 and μk = 0.30, respectively. The puck's initial speed is 3.8 m/s. What speed does it have when it slides back down to its starting point?
A 200 g hockey puck is launched up a metal ramp that is inclined at a 30° angle. The coefficients of static and kinetic friction between the hockey puck and the metal ramp are μs = 0.40 and μk = 0.30, respectively. The puck's initial speed is 3.8 m/s, Speed it will have when it slides back down to its starting point is 2.36 m/s
What is Friction?The resistance to motion of one object moving in relation to another is known as friction. It is not regarded as a fundamental force like gravity or electromagnetic, according to the International Journal of Parallel, Emergent and Distributed Systems(opens in new tab). The electromagnetic attraction between charged particles in two contacting surfaces, according to scientists, is what causes it.
using work energy theorem ,
change in kinetic energy = work done by frictional force
\(\frac{1}{2}\) m(\(x^{2}\)-\(y^{2}\)) = μmghcos30°
where mass is m=200g
x is speed with which it slides back
y is speed at top of metal ramp=3.8 m/s
μ is coefficient of kinetic friction=0.3
g is gravity = 9.8m/\(s^{2}\)
h is height to which hockey puck is reached on metal ramp=1.18m
Substituting the values and solving for speed x,
x=2.36m/s
speed it will have when it slides back down to its starting point is 2.36m/s
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How can you measure the strength of any electric field?
Answer:
The strength of the source charge's electric field could be measured by any other charge placed somewhere in its surroundings. The charge that is used to measure the electric field strength is referred to as a test charge since it is used to test the field strength. The test charge has a quantity of charge denoted by the symbol q.
Explanation:
Electric field strength is a vector quantity; it has both magnitude and direction. The magnitude of the electric field strength is defined in terms of how it is measured. Let's suppose that an electric charge can be denoted by the symbol Q. This electric charge creates an electric field; since Q is the source of the electric field, we will refer to it as the source charge. The strength of the source charge's electric field could be measured by any other charge placed somewhere in its surroundings. The charge that is used to measure the electric field strength is referred to as a test charge since it is used to test the field strength. The test charge has a quantity of charge denoted by the symbol q. When placed within the electric field, the test charge will experience an electric force - either attractive or repulsive. As is usually the case, this force will be denoted by the symbol F. The magnitude of the electric field is simply defined as the force per charge on the test charge.
It is noticed that one of the natural frequencies of NaCl crystal is 5.3x10¹⁵ Hz. If placed under pressure, the frequency is increased by a factor of 0.11 due to the compression of the atomic lattice changing the atomic spring constant. What is the relative change in the spring constant (∆k/k) Select one:
a. 0.11
b. 5.3×10-13
c. 0.33
d. 0.23
The relative change in the spring constant (∆k/k) is approximately 0.11. Option A
To find the relative change in the spring constant (∆k/k) of the NaCl crystal under pressure, we can use the equation :
Δf/f = -Δk/k
where Δf is the change in frequency, f is the initial frequency, Δk is the change in the spring constant, and k is the initial spring constant.
Given that the initial frequency is f = 5.3x10^15 Hz and the change in frequency is Δf/f = 0.11, we can rearrange the equation to solve for Δk/k:
0.11 = -Δk/k
Now we can solve for Δk/k:
Δk/k = -0.11
Since the value is negative, we can consider the absolute value to obtain the relative change in the spring constant:
Δk/k ≈ 0.11.
Option A is correct.
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An airplane is flying at a speed of 200 m/s in level flight at an altitude of 800 m. A package is to be dropped from the airplane to land on a target on the ground. At what horizontal distance away from the target should the package be released so that it lands on the target?
Answer:
2560m or 2.56km (rounded to 3 significant figures)
Explanation:
First, list all known and desired values/variables (initial vertical velocity is 0 as the plane is kept level and vertical acceleration is just gravity):
\(Vertical \ velocity \ (\frac{m}{s} ) = u_{v} = 0 \\\\ Horizontal \ velocity \ (\frac{m}{s} ) = u_{h} = 200\\\\ Vertical \ acceleration \ (\frac{m}{s^{2} } ) = a_{v} = 9.8 \\\\ Horizontal \ acceleration \ (\frac{m}{s^{2} } ) = a_{h} = 0 \\\\ Vertical \ displacement \ (m) = s_{v} = 800 \\\\ Horizontal \ displacement \ (m) = s_{h}\)
The horizontal displacement is going to be the distance travelled, horizontally of course, once the package is released;
First thing to understand is that the vertical and horizontal components are to be dealt with separately because they don't affect each other;
Since there is no horizontal acceleration (ignoring air resistance), we simply require a velocity and time to find the horizontal displacement, using the formula v = d/t (or speed = distance/time);
What we have is the horizontal velocity but we don't have the time taken;
One thing we know is that the time elapsed for the vertical fall of 800m and for the horizontal displacement must be the same;
What we do, therefore, is find the time taken for the vertical displacement using the formula, s = ut + ¹/₂·at², since we know the vertical velocity, height and acceleration:
800 = (0)t + ¹/₂·(9.8)t²
800 = 4.9t²
t² = 163.26...
t = 12.77...
We now have the time taken for the vertical fall and the horizontal displacement, we can use this with the horizontal velocity we know already and get the horizontal displacement:
\(u_{h} = \frac{s_{h} }{t} \\\\ 200 = \frac{s_{h} }{12.77...} \\\\ s_{h} = 200(12.77...) \\\\ s_{h} = 2555.5...\)
A crane raises a 12,000 N marble sculpture at a constant velocity onto a pedestal 1.5 m above the ground outside an art museum. How much work is done by the crane
For the work, applicate formula:
\(\boxed{\boxed{\green{\bf{W = F\times d}}}}\)
According our data:
Replacing:W = 12000 N * 1,5 m
Resolving:W = 18000 J
The work done is 18000 Joules.
Calculate
(
4.2
×
10
5
)
(
4.0
×
10
−
9
)
cm
2
.
Answer:
13671
Explanation:
In 2012, NASA sent the 900kg Curiosity robot to Mars to study the planet. a) Recall the relationship between the weight P and the mass m. Specify the units. b) What is the weight of Curiosty on Mars? c) Compare the weight of Curiosity on Earth and on Mars. Why is it more important on Earth
(a)The units for weight are typically expressed in Newtons (N), while mass is measured in kilograms (kg).
(b)The weight of Curiosity on Earth is approximately 8820 Newtons.
a) The relationship between weight (P) and mass (m) is given by the formula P = m * g, where g represents the acceleration due to gravity. The units for weight are typically expressed in Newtons (N), while mass is measured in kilograms (kg).
b) To calculate the weight of Curiosity on Mars, we need to determine the acceleration due to gravity on Mars. The acceleration due to gravity on Mars is approximately 3.71 m/s². Using the weight formula, we have P = m * g = 900 kg * 3.71 m/s² = 3339 N. Therefore, the weight of Curiosity on Mars is approximately 3339 Newtons.
c) The weight of Curiosity on Earth is significantly greater compared to its weight on Mars. On Earth, the acceleration due to gravity is approximately 9.8 m/s². Using the weight formula, we have P = m * g = 900 kg * 9.8 m/s² = 8820 N. Therefore, the weight of Curiosity on Earth is approximately 8820 Newtons.
The difference in weight between Earth and Mars is important because weight is directly related to the force of gravity. The greater weight on Earth indicates a stronger gravitational force, which affects the overall dynamics and requirements for missions like Curiosity.
It affects the launch and landing processes, the structural integrity of the spacecraft, the fuel and energy requirements, and the ability to conduct experiments and operate the robotic systems effectively. Understanding these differences is crucial for mission planning, spacecraft design, and mission success.
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The radius of the earth is 6.4 x 10^6 m . Calculate the angular and linear velocity of a participle at the earth's surface.
Answer: the angular velocity of a particle at the Earth's surface is approximately 7.27 x 10^-5 rad/s, and the linear velocity of the particle is approximately 464.1 m/s.
Explanation:
I need help. I don’t understand.
The voltage drop across R3 is 34.5 volts.
Voltage, also known as electric potential difference, is a measure of the difference in electric potential energy between two points in an electrical circuit, and it is measured in volts. It is the driving force that moves electric charges through a circuit, from a higher potential to a lower potential.
To determine the voltage drop across R3 in this circuit, we need to first find the equivalent resistance of R2, R3, and R4, since they are connected in parallel. We can then find the total resistance of the circuit by adding the equivalent resistance in series with R1, and finally use Ohm's Law to calculate the voltage drop across R3.
The equivalent resistance of R2, R3, and R4 in parallel can be calculated as:
1/R_parallel = 1/R2 + 1/R3 + 1/R4
1/R_parallel = 1/20 + 1/25 + 1/10
1/R_parallel = 0.15
R_parallel = 1/0.15
R_parallel = 6.67 ohm
The total resistance of the circuit can be found by adding R1 and the equivalent resistance in series:
R_total = R1 + R_parallel
R_total = 15 + 6.67
R_total = 21.67 ohm
Now we can use Ohm's Law to calculate the current flowing through the circuit:
I = ET / R_total
I = 30 / 21.67
I = 1.38 A
Finally, we can use Ohm's Law again to calculate the voltage drop across R3:
V_R3 = I * R3
V_R3 = 1.38 * 25
V_R3 = 34.5 V
Therefore, the voltage drop across R3 is 34.5 volts.
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Type your response in the box.
Different kinds of substances have different properties. Compare and contrast the electrical properties of salts, acid , metals
Answer:
salts do not conduct electricity. unless u try to dissociate its ions,it cannot.
metals are good conductors of electricity.
acids also conduct electricity if you dissociate them into ions.
A skydiver opens his parachute, and shortly thereafter, he is moving at constant velocity. (a) What forces are acting on him? (b) Which force is bigger?
a)
We have the next forces
Fd that is the air drag force that is acting upward
Fd gravitation force that is acting downward
in other words
his weight is the force that acts downward and the force of the air resistance with the parachute act upward
b)
In this case, because he is falling at a constant velocity it means
\(Fg=Fd\)So the net force on the skydiver is 0
therefore both forces are equal amount in other words the forces are equal in magnitude
an object is dropped from a height of 25 meters.at what velocity will it hit the ground?
a.)7.0 m/s
b.)11 m/s
c.)22m/s
d.) 49 m/s
e.) 70 m/s
Answer:
C. 22 m/s
Explanation:
Ignoring air friction....all of the Potential energy will be converted to Kinetic Energy
mgh = 1/2 m ^v^2
gh = 1/2 v^2
sqrt (2 gh) = v = ~ 22.1 m/s
The reactants of a certain chemical reaction contain 26 kJ of potential
energy, and the products contain 41 kJ. How much energy is released or
absorbed by the reaction?
A. 15 kJ is absorbed.
B. 67 kJ is released.
C. 15 kJ is released
O D. 67 kJ is absorbed.
SUBMIT
Answer:
15 kJ absorbed
Explanation: a p e x
Answer:
Option A is correct. 15kJ is absorbed
Explanation:
As the product has a Total energy of 41kJ.Potential energy is 26kJEnergy absorbed?Using the formula;
Total energy=potential energy+ absorbed energy.
41=26+absorbed energy
absorbed energy is 15kJ.
What is potential energy?The energy possessed to a body due to position is called Potential energy.
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Organizing and making sense of behavioral observations is central to psychology’s goal of ?
Answer:
Organizing and making sense of behavioral observations is central to psychology’s goal of explanation.
4. Interpret Data The graph below shows the
motion of an elevator. Explain its motion.
Answer:
Below
Explanation:
0-1 sec descends at constant rate from 10 to 6 m
1-2 sec stops at 6m
2-3 sec descends at constant rate to 2 m
3-4 sec stops at 2 m
4-5 sec descends at another constant rate to 0 m
Three people are in an elevator, The people have a total 185 kg. The elevator has a mass of 250 kg. When the evelavtor begins to move the elevator and the people accelerate upward with a acceleration of 1.50 m/s ^ 2 What the net force?
The net force will be equal to 4915.5 N when the elevator accelerates upward with an acceleration of 1.50 m/s².
What is tension?Tension can be described as a force along the length of a flexible medium such as a cable, rope, etc. Tension is a pulling force but it can not be a pushing force.
When the elevator moves upward with acceleration (a). The net force will be equal to:
Fₙ = mg + ma
Where m is the mass of the object and 'g' is the gravitational acceleration.
Given the total mass of three people = 185 Kg
The mass of the elevator = 250 Kg
Then the total mass, m = 185 + 250 = 435 Kg
The acceleration of the elevator, a = 1.50 m/s²
The net force of the elevator will be: F = 435 × 9.8 + 435 × 1.50
F = 4915.5 N
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A rod of metal is measured at 12 °C and is 3.521 m long. At 100 °C the rodis 3.523 m long. Determine the value of the coefficient of linear expansionfor the metal.
In order to determine the coefficient of linear expansion of this metal, we can use the following formula:
\(\Delta L=\alpha\cdot L_0\cdot\Delta T\)Where DeltaL is the change in length, alpha is the coefficient, L0 is the initial length and DeltaT is the change in temperature.
So, for DeltaL = 0.002 m, L0 = 3.521 m and DeltaT = 88°C , we have:
\(\begin{gathered} 0.002=\alpha\cdot3.521\cdot88 \\ \alpha=\frac{0.002}{3.521\cdot88} \\ \alpha=6.45\cdot10^{-6} \end{gathered}\)Therefore the coefficient is 6.45 * 10^-6 °C^-1.
Two blocks with masses 2.00 kg and 4.00 kg are placed side-by-side on a frictionless horizontal surface. A horizontal force with a magnitude of 5.20 N is applied to the 2.00-kg block perpendicular to its surface. What is the magnitude of the force on the 4.00-kg block?
a. 2.60
b. 3.11
c. 3.47
d. 3.89
The magnitude of the force on the 4.00-kg block is 3.47 N.
The given parameters:
Mass of first block, m1 = 2 kgMass of second block, m2 = 4 kgHorizontal force, F = 5.2 NAcceleration of both blocks;The acceleration of both blocks is calculated by applying Newton's second law of motion.\(a = \frac{F}{m_1 + m_2} \\\\a = \frac{5.2}{2 + 4} \\\\a = \frac{5.2}{6} \\\\a = 0.867 \ m/s^2\)
The magnitude of the force on the 4.00-kg block is calculated as follows;
F = ma
F = 4 x 0.867
F = 3.47 N
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The mass of the Moon is 0.0123 time the mass of the Earth and its radius is about 0.272 times the radius of the Earth.Calculate the escape velocity on the Moon. Show any work that you do.
Given data:
* The mass of the Moon is 0.0123 times of mass of Earth as,
\(\begin{gathered} M^{\prime}=0.0123\times M_E \\ M^{\prime}=0.0123\times5.97\times10^{24} \\ M^{\prime}=0.0734\times10^{24}\text{ kg} \end{gathered}\)where M_E is the mass of Earth,
* The radius of the Moon is 0.272 times the mass of Earth as,
\(\begin{gathered} R^{\prime}=0.272\times R_E \\ R^{\prime}=0.272\times6400\times10^3 \\ R^{\prime}=1740.8\times10^3\text{ m} \end{gathered}\)where R_E is the radius of Earth,
Solution:
The escape velocity of the object from the surface of the Moon is,
\(v_e=\sqrt[]{\frac{2GM^{\prime}}{R^{\prime}}}\)where G is the gravitational constant, M' is the mass of Moon, and R' is the radius of Moon,
Substituting the known values,
\(\begin{gathered} v_e=\sqrt[]{\frac{2\times6.67\times10^{-11}\times0.0734\times10^{24}}{1740.8\times10^3}} \\ v_e=0.0237\times10^5ms^{-1} \\ v_e=2.37\times10^3ms^{-1} \\ v_e=2.37kms^{-1} \end{gathered}\)Thus, the escape velocity on the Moon is 2.37 Kilometers per second.
Bob creates an instrument that is able to play C4 (261.63 Hz). He does some analysis with the sound equipment and it shows that when he plays it, he also gets the frequencies 523.26 Hz, 784.89 Hz, and 1308.15 Hz. What could be true about the instrument? It’s a stringed instrument, it’s a closed pipe, or it’s an open pipe?
Answer:
It could be a stringed instrument or an open pipe.
Explanation:
Let v be the speed of sound, y be wavelength and f be frequency.
v = yf
f= v/y; v is constant.
In a stringed instrument, the fundamental frequency note is heard when the length of the string, l = y/2; y= 2l
f′= v/2l
The second harmonic is heard when l= y
f"= v/y
...
f'''= 3v/2l
We can infer that f"= 2f'
f'''= 3f'
This is similar to the values in the question as;
523.26 =2(261.63) and so on.
Same thing happens with open pipes.
An aeroplane, flying in a straight line at a constant
height of 500m with a speed of 200ms drops a
food package. The package takes a time t to reach
the ground and travels a horizontal distance d in
doing so. Taking g as 10ms 2, and ignoring air
resistance, what are the values of t and d??
Answer:
200
Explanation:
Reflected waves change their wavelength by ______ when reflected.
A. ¾
B. ½
C. They don’t change
D. ¼
Answer:
i think its c
Explanation:
trust me
Which of following is true statement of self-efficiency
Explanation:
Which of the following best defines self-efficacy? The belief in one's ability to cause an intended event to happen. ... If Bobby does not value athletic skill, his lack of talent will have less impact on his self-esteem than if he highly values athleticism.
Q1: A person uses a screwdriver to turn a screw and insert it into a piece of wood. The person applies a force of 20 newtons to the screwdriver and turns the handle of the screwdriver a total distance of 0.5 meter. How would these numbers be different if the person inserted a nail with a hammer instead of the screw with the screwdriver?
A: The force applied would be the same, but the distance would be shorter.
B: The force applied would be greater, but the distance would be shorter.
C: The force applied would be less, but the distance would be greater.
D: The force applied would be the same, but the distance would be greater.
------------------------------------
Q2: What are people trying to increase when using simple machines?
A: applied mechanical force
B: the distance over which a force is applied
C: the energy needed to complete a task
D: mechanical advantage
------------------------------------
Q3: What do a Class 1 lever and a Class 2 lever have in common?
Both levers place the fulcrum in between the applied force and the object being lifted.
A:Both levers place the fulcrum in between the applied force and the object being lifted.
B:Both levers have an output force in the same direction as the input force.
C:Both levers would lift an object on the same side of the fulcrum as the applied force.
D: Both levers result in a larger output force from a smaller input force.
------------------------------------
What makes this lever effective?
A: The rock has more mass than the man.
B: The man has more mass than the rock.
C: The man is farther from the fulcrum than the rock is.
D: The man is closer to the fulcrum than the rock is.
------------------------------------
What is the efficiency of a machine that uses 102 kJ of energy to do 98 kJ of work?
96.1%
0.961%
104%
4%
------------------------------------
A pulley system is used to lift an object. Which factor could affect the efficiency of the system?
the friction of the individual pulleys
the mass of the person pulling
the mass of the object
the distance the weight is lifted
------------------------------------
Based on the mass and speed data, which object will have the greatest amount of kinetic energy?
10 kg moving at 2 m/s
5 kg moving at 2 m/s
10 kg moving at 5 m/s
2 kg moving at 2 m/s
------------------------------------
Which statement accurately explains why the kinetic energy of the first rider is greater?
The first rider is taller.
The first rider is in front.
The potential energy of the first rider is greater.
The first rider has more mass.
------------------------------------
Which two factors affect the kinetic energy of an object?
mass and speed
speed and weight
mass and height above the ground
weight and height above the ground
------------------------------------
A single billiard ball, traveling at 20 m/s, strikes a cluster of 15 balls on a billiard table. What can be said about the balls on the table after the collision?
None of the balls will have a velocity greater than 20 m/s.
The kinetic energy will be divided equally among the 15 balls.
Each ball will have a velocity equal to 20 m/s.
The kinetic energy of the 15 balls will be greater than the kinetic energy of one ball.
------------------------------------
Where do the forces that make atoms interact come from?
from the electric fields of charged subatomic particles
from the electric fields of neutral molecules
from the electric fields of neutral subatomic particles
from the electric fields of charged molecules
------------------------------------
Q1: A: The force applied would be the same, but the distance would be shorter.
Q2: D: mechanical advantage
Q3: A: Both levers place the fulcrum in between the applied force and the object being lifted.
Q4: C: The man is farther from the fulcrum than the rock is.
Q5: 96.1%
Q6: the friction of the individual pulleys
Q7: 10 kg moving at 5 m/s
Q8: The first rider has more mass.
Q9: mass and speed
Q10: The kinetic energy of the 15 balls will be greater than the kinetic energy of one ball.
Q11: from the electric fields of charged subatomic particles
A racer times herself to find she ran a distance of 100 meters in 18 seconds. Find, if the racer keeps the same speed, how long will it take her to run the next 400 meters? • Find, if the racer keeps the same speed, how long will it take them to run the next mile
If the racer keeps the same speed, it would take her approximately 71.94 seconds to run the next 400 meters.
If the racer keeps the same speed, it would take her approximately 289.56 seconds to run one mile.
FIRST CASE: To solve this problem, we can use the formula for average speed, which is:
average speed = distance / time
We can rearrange this formula to solve for time:
time = distance / average speed
In the first part of the problem, the racer ran 100 meters in 18 seconds. We can calculate her average speed as:
average speed = distance / time = 100 meters / 18 seconds ≈ 5.56 m/s
Now we can use this average speed to find the time it would take her to run the next 400 meters:
time = distance / average speed = 400 meters / 5.56 m/s ≈ 71.94 seconds.
SECOND CASE: We need to find the time it would take the racer to run the next mile. One mile is equal to 1609.34 meters. We can use the same formula as before, but this time we need to use the distance of one mile:
time = distance / average speed = 1609.34 meters / 5.56 m/s ≈ 289.56 seconds
Therefore, if the racer keeps the same speed, it would take her approximately 289.56 seconds to run one mile.
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5 waves with a length of 4m hit the shore every 2 seconds, what is the frequency?
The frequency of the 5 waves with a length of 4m hit the shore every 2 seconds is 2.5 Hz.
What is frequency?This is the number of cycles completed by a wave in one second. The s.i
unit of frequency is Hert (Hz).
From the question, to calculate the frequency of 5 waves with length of 4 m that hit the shores every 2 seconds, we use the formula below.
Formula:
F = n/t........... Equation 1Where:
n = Number of waveF = Frequencyt = timeFrom the question,
Given:
n = 5 waves t = 2 secondsSubstitute these values into equation 1
F = 5/2F = 2.5 Hz.Hence, The frequency of the wave is 2.5 Hz.
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The moon has a radius of 1,738,000 m and a mass of 7.35 x 1022 kg. It orbits the
earth at a radius of 3.84 x 10¹¹ m. The earth's mass is 6 x 1024 kg. What is the
force gravity between the earth and the moon?
A student is pouring equal amounts of water, maple syrup, and cooking oil into a glass beaker and looking at how the
layers settle. Which property of the liquids is the student MOST likely comparing?
A volume
B mass
temperature
D density
True or False: A change of 1 pH unit represents a tenfold change in the
acidity of the solution.
Answer:
I was also going to ask same question edited:ok i found its true