The
projectile
was launched at an angle of approximately 23.4° above the horizontal.
To determine the angle at which the projectile was launched, we can use the equations of
motion
for projectile motion. We'll assume there is no air resistance.
Let's consider the horizontal and vertical components of the projectile's motion separately.
Horizontal motion:
The horizontal component of the projectile's velocity remains constant throughout its flight. Therefore, the horizontal displacement can be calculated using the equation:
Horizontal displacement = Horizontal velocity × Time
Since there is no horizontal
acceleration
, the horizontal velocity remains constant at 37.4 m/s. The time of flight is given as 3.00 seconds. So we have:
Horizontal displacement = 37.4 m/s × 3.00 s
Horizontal displacement = 112.2 m
Vertical motion:
In the vertical direction, the projectile is subject to the acceleration due to gravity (-9.8 m/s²). We can use the kinematic equation for vertical displacement to determine the initial vertical velocity (v₀y) and the angle of launch (θ):
Vertical displacement = (v₀y × Time) + (0.5 × Acceleration × Time²)
The initial vertical velocity (v₀y) is given by:
v₀y = v₀ × sin(θ)
where v₀ is the initial speed of the projectile. Substituting this into the equation for vertical displacement, we get:
Vertical displacement = (v₀ × sin(θ) × Time) + (0.5 × Acceleration × Time²)
The vertical displacement is 0 since the projectile lands on the ground. Therefore, we can rearrange the equation to solve for the angle (θ):
0 = (v₀ × sin(θ) × Time) + (0.5 × Acceleration × Time²)
Simplifying further:
0 = v₀ × sin(θ) × Time - 4.9 × Time²
Since we know the initial
speed
(v₀ = 37.4 m/s) and the time of flight (Time = 3.00 s), we can solve the equation for the angle (θ).
0 = 37.4 m/s × sin(θ) × 3.00 s - 4.9 m/s² × (3.00 s)²
0 = 112.2 m/s × sin(θ) - 44.1 m
44.1 m = 112.2 m/s × sin(θ)
sin(θ) = 44.1 m / 112.2 m/s
sin(θ) = 0.393
To find the angle (θ), we can take the inverse sine (arc sin) of 0.393:
θ = arc sin(0.393)
θ ≈ 23.4°
Therefore, the projectile was launched at an
angle
of approximately 23.4° above the horizontal.
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Which phase changes are endothermic?
Two thin lenses of power +3.5 D and -2.5 D are placed in contact,
find the power and focal length of the lens combination.
Answer:
P = 1 D
f = 1 m = 100 cm
Explanation:
The power of the combination of lenses is simply found out by adding the power of the individual lens:
\(P = P_{1}+P_{2}\)
where,
P = Power of combination of lenses = ?
P₁ = Power of first lens = 3.5 D
P₂ = Power of second lens = -2.5 D
Therefore,
\(P = 3.5\ D - 2.5\ D\)
P = 1 D
Now, for focal length:
\(Focal\ Length = f = \frac{1}{D}\\\\f = \frac{1}{1\ D}\)
f = 1 m = 100 cm
arrange this letters plss lubilsoity
Answer:
Solubility
Explanation:
found
possible to solve
At which recording station did the S-wave arrive first? a. VNQ b. NCA c. ANE d. ANE and VNQ e. NCA and VNQ
The S-wave arrived first at one or more of the remaining recording stations: NCA, ANE, or ANE and VNQ.
Seismic waves are waves of energy that travel through the Earth's crust and interior following an earthquake. There are two main types of seismic waves: P-waves and S-waves. P-waves are faster and can travel through solid and liquid materials, while S-waves are slower and can only travel through solid materials.
The S-wave is a type of seismic wave that can only travel through solid materials. When an earthquake occurs, the S-wave is produced along with other types of waves, including P-waves. Because S-waves travel slower than P-waves, they arrive at seismic recording stations later than P-waves.
To determine which recording station detected the S-wave first, we need to look for the station that detected the S-wave before any other type of wave. In this case, we are given a list of four recording stations: VNQ, NCA, ANE, and VNQ.
Based on the properties of S-waves, we know that they can only travel through solid materials. Therefore, the S-wave can only be detected by recording stations that are located on solid ground. We can rule out the recording station that is not located on solid ground, which is VNQ.
Next, we need to consider the remaining three recording stations: NCA, ANE, and ANE and VNQ. We don't have enough information to determine which of these stations detected the S-wave first, but we know that at least two of them detected the S-wave before VNQ.
In summary, we can rule out the recording station that is not located on solid ground, VNQ, and determine that the S-wave arrived first at one or more of the remaining recording stations: NCA, ANE, or ANE and VNQ. This determination is based on the fact that S-waves can only travel through solid materials, so they can only be detected by recording stations that are located on solid ground.
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Convert 149 °F into a °C, (b) Kelvin
Answer:
a.149 °F into °C
149 - 32 = 117
117 x 5 = 585
585 / 9 = 65
149 °F = 65 °C
b.149 °F into Kelvin
(149°F − 32) × 5/9 + 273.15 = 338.15K
the primary factor in decreasing the kinetic energy of an object is to
Answer:
Decreasing the velocity
Explanation:
The primary factor in decreasing the kinetic energy of an object is to decrease the velocity of the object.
What is Kinetic energy?The kinetic energy of an object is the energy which it possesses due to the motion of the object. Kinetic energy is defined as the work which is needed to accelerate an object of a given mass from the state of rest to its stated velocity and direction. Gain of the energy during the acceleration of an object, the body maintains this kinetic energy unless its speed changes and the object accelerates.
The kinetic energy is directly proportional to the mass and the velocity of the object. The primary factor which is responsible for the decrease in the kinetic energy of an object is to decrease the velocity of the object.
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A mass of 0.5kg of water at 10°c is converted into ice at 0°c the specific latent heat of water is 4.2jkg/°c and the specific latent heat of fusion of ice 334jkg the amount of heat refracted from water is
So, the amount of heat refracted from water as it freezes into ice is 146 J.
What is specific latent heat?Specific latent heat is the amount of heat required to change the phase of a unit mass of a substance at a constant temperature. It is a specific quantity, meaning that it is defined for a particular substance and a particular phase change. The term "latent" refers to the fact that the heat is absorbed or released during the phase change, but does not result in a change in temperature of the substance. For example, the specific latent heat of fusion of ice is the amount of heat required to change 1 kilogram of solid ice at 0°C into 1 kilogram of liquid water at 0°C, without changing the temperature of the water. The SI unit for specific latent heat is joules per kilogram (J/kg).
Here,
To calculate the amount of heat refracted from water as it freezes into ice, we need to consider two stages:
Cooling the water from 10°C to 0°C:
The amount of heat lost by the water is given by:
Q1 = m * c * ΔT
where m = 0.5 kg is the mass of water, c = 4.2 J/(kg·°C) is the specific heat capacity of water, and ΔT = (0 - 10)°C = -10°C is the change in temperature.
Thus, Q1 = 0.5 kg * 4.2 J/(kg·°C) * (-10)°C = -21 J (Note that the negative sign indicates heat loss).
Freezing the water at 0°C into ice:
The amount of heat lost by the water is given by:
Q2 = m * Lf
where m = 0.5 kg is the mass of water, and Lf = 334 J/kg is the specific latent heat of fusion of ice.
Thus, Q2 = 0.5 kg * 334 J/kg = 167 J
Therefore, the total amount of heat refracted from water is:
Q_total = Q1 + Q2 = -21 J + 167 J = 146 J
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an airplane is flying at a standard altitude of 5 km. a pitot tube mounted at the nose measures a pressure of 0.957 bar. assume the airplane is flying at high subsonic speed and flow is compressible. calculate the velocity of airplane.
The velocity of the airplane will be 301.85 meters per second.
What is the velocity?The velocity of the airplane is given as,
v = m√(γRT)
Where γ is the polytropic index (1.14), R gas constant, and T is the temperature.
An airplane is flying at a standard altitude of 5 km. A pitot tube mounted at the nose measures pressure of 0.957 bar.
From the table, the static pressure (p) and static temperature (T) will be 54019.91 Pa and 255.5 K.
Then the static density is given as,
P = p / RT
P = 54019.91 / (287 x 255.5)
P = 0.737 kg / m³
We know that the formula
\(\begin{aligned} \left ( \dfrac{P_o}{P} \right )^{\frac{\gamma -1}{\gamma }} &= 1 + \dfrac{\gamma - 1}{2}m^2\\\\\left ( \dfrac{0.957 \times 10^5}{54019.91} \right )^{\frac{1.4 -1}{1.4}} &= 1 + \dfrac{1.4- 1}{2}m^2\\ \end{aligned}\)
On simplifying, we have
m = 0.9421 kg
Then the velocity of the airplane is given as
v = 0.9421 × √(1.4 × 287 × 255.5)
v = 301.85 m/s
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: An oscillating LC circuit consisting of a 3.0 nF capacitor and a 4.5 mh coil has a maximum voltage of 5.0 V. (a) What is the maximum charge on the capacitor? c (b) What is the maximum current through the circuit? A (c) What is the maximum energy stored in the magnetic field of the coil?
Given: An oscillating LC circuit consisting of a 3.0 nF capacitor and a 4.5 mh coil has a maximum voltage of 5.0 V. (a) What is the maximum charge on the capacitor? c (b) What is the maximum current through the circuit? A (c) What is the maximum energy stored in the magnetic field of the coil? To find:
The maximum charge on the capacitor, the maximum current through the circuit, and the maximum energy stored in the magnetic field of the coil. Solution: We know that an oscillating LC circuit consisting of a 3.0 nF capacitor and a 4.5 mh coil has a maximum voltage of 5.0 V. Maximum charge on the capacitor Q is given by;Q = VC Where, V = maximum voltage = 5.0 Cc= 3.0 nF = 3.0 × 10⁻⁹ FQ = 5 × 3 × 10⁻⁹= 15 × 10⁻⁹ = 15 nC The maximum charge on the capacitor is 15 nC.
Maximum current I is given by;I = V / XL Where,V = maximum voltage = 5.0 CXL = inductive reactance Inductive reactance XL = ωLWhere,ω = angular frequency L = 4.5 mH = 4.5 × 10⁻³ HXL = 2 × π × f × L From the formula;f = 1 / 2π√(LC) Where,C = 3.0 nF = 3.0 × 10⁻⁹ HF = 1 / 2π√(LC)F = 1 / (2π√(3.0 × 10⁻⁹ × 4.5 × 10⁻³))F = 1 / (2π × 1.5 × 10⁻⁶)F = 106.1 kHzXL = 2 × π × f × LXL = 2 × π × 106.1 × 10³ × 4.5 × 10⁻³XL = 1.5ΩI = V / XL= 5 / 1.5I = 3.33 A. The maximum current through the circuit is 3.33 A. The maximum energy stored in the magnetic field of the coil is given by;W = (1 / 2) LI²W = (1 / 2) × 4.5 × 10⁻³ × (3.33)²W = 0.025 J. The maximum energy stored in the magnetic field of the coil is 0.025 J.
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Refer to the image shown to answer the question.
If a light ray is reflected off the shiny surface at 170 degrees, at what angle did the light ray first strike the surface?
170 degrees
70 degrees
110 degrees
10 degrees
Answer:10
Explanation: if you look it has a 170 but some people have 70 if you have 170 then it will be 10 if you have a 70 then it will be 110 if I'm right then Yw
Answer:
10
Explanation:
i took the quiz xoxo
9. What is NOT true about the Body Composition Assessment?
It can be measured using skin calipers, a water test, and body composition scales.
OBMI is an indirect body composition measuring method using your weight and height.
ОО
Your weight alone can determine the percentages of your body's composition.
OBMI can be a reliable indicator of body composition.
Answer: Your weight alone can determine the percentages of your body's composition
Explanation:
C. Your weight alone can determine the percentages of your body's composition.
What is Body Composition Assessment?
Body composition analysis is the assessment of the proportion of fat to fat-free mass in your body.
Performing Body Composition Assessment will tell you your own body's unique makeup and help you identify areas to work on to improve your overall health and wellness.
Thus, the statement that is NOT true about the Body Composition Assessment is your weight alone can determine the percentages of your body's composition.
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How much work is done by the force of gravity went 45 n object falls to the ground from a height of 4.6m?
The work W exerted over an object by a force F along a distance d is:
\(W=Fd\)Substitute F=45N and d=4.6m to find the work done by the force of gravity on the falling object:
\(W=(45N)(4.6m)=207J\)Therefore, the work done by the force of gravity when a 45N object falls a distance of 4.6m, is:
\(207J\)
Explain what you think would happen to life
on Earth if the Sun burned out? What could
humans do to survive?
According to Newton’s first law of motion, when will an object at rest begin to move?
when its inertia decreases to zero
when an unbalanced force acts upon it
when the action and reaction forces are equal
when two equal and opposite forces act upon it
According to Newton’s first law of motion, an object at rest will begin to move, when an unbalanced force acts upon it.
option B is the correct answer.
What is Newton's first law of motion?Newton's first law of motion, also known as the law of inertia, states that an object at rest will remain at rest, and an object in motion will continue in motion with a constant velocity unless acted upon by an external force.
In other words, an object will maintain its state of motion (whether it is at rest or moving in a straight line at a constant speed) unless a force acts upon it.
Thus, according to Newton’s first law of motion, an object at rest will begin to move, when an unbalanced force acts upon it.
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Answer:
its B
Explanation:
How much energy does it take to boil water for pasta? For a one-pound box of pastayou would need four quarts of water, which requires 15.8 kJ of energy for every degreeCelsius (°C) of temperature increase. Your thermometer measures the startingtemperature as 48°F. Water boils at 212°F.a. How many degrees Fahrenheit (°F) must you raise the temperature?b. How many degrees Celsius (°C) must you raise the temperature?c. How much energy is required to heat the f
The thermometer measures the starting temperature as,
\(T_1=48^{\circ}F\)The temperature required for the boiling the water is
\(T_2=212^{\circ}F\)(a). The temperature requires to boil is,
\(\begin{gathered} T=T_2-T_1 \\ T=212-48 \\ T=164\text{ F} \end{gathered}\)Therese plays lacrosse, but she has injured her ankle and has to take a few weeks off. She is finding that she has a lot of trouble sleeping since she is no longer practicing several days a week. What BEST explains this?
OPTIONS:
A.
She needs regular exercise to move oxygen through the blood.
B.
She clearly requires more exercise than most people to relieve stress.
C.
She is not releasing the endorphins that she used to, and that impacts her sleep.
D.
She is likely not maintaining the healthy habits that she did when she was practicing.
PLEASE NO LINKS
Answer:
C. She is not releasing the endorphins that she used to, and that impacts her sleep.
Explanation:
The best explanation for why Therese is having trouble sleeping is that she is not releasing the endorphins that she used to, and that impacts her sleep.
Hence, the correct option is C.
Endorphins are hormones that are released during exercise. They have mood-boosting and pain-relieving effects. When Therese stops exercising, she is no longer releasing as many endorphins, which can lead to moodiness and difficulty sleeping.
Option A is incorrect because exercise does not directly move oxygen through the blood. Instead, it increases the heart rate and breathing rate, which in turn increases the amount of oxygen that is delivered to the tissues.
Option B is incorrect because there is no evidence to suggest that Therese requires more exercise than most people to relieve stress. In fact, most people find that regular exercise can help to reduce stress levels.
Option D is incorrect because it is unlikely that Therese is not maintaining the healthy habits that she did when she was practicing. Lacrosse is a physically demanding sport, so it is likely that Therese is still eating healthy and getting enough sleep.
Therefore, the best explanation for why Therese is having trouble sleeping is that she is not releasing the endorphins that she used to, and that impacts her sleep.
Hence, the correct option is C.
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Electron and positron each with kinetic energy 220kev are generated by photon, what is the energy and wavelength
The energy of the photon is 440 keV (or 7.048 x 10^-14 J), and the wavelength is approximately 2.82 x 10^-12 meters.
When an electron and positron are generated by a photon, the energy of the photon is converted into the mass and kinetic energy of the two particles.
The energy of the photon can be calculated by adding the kinetic energies of the electron and positron, which is 220 keV + 220 keV = 440 keV. To convert this to Joules, multiply by 1.602 x 10^-16 J/keV, which gives you an energy of 7.048 x 10^-14 J.
To calculate the wavelength of the photon, we can use the Planck's equation: E = h*c/λ, where E is the energy, h is Planck's constant (6.626 x 10^-34 J·s), and c is the speed of light (3 x 10^8 m/s). Solving for the wavelength λ:
λ = h*c/E = (6.626 x 10^-34 J·s)*(3 x 10^8 m/s)/(7.048 x 10^-14 J) ≈ 2.82 x 10^-12 m
So, the energy of the photon is 440 keV (or 7.048 x 10^-14 J), and the wavelength is approximately 2.82 x 10^-12 meters.
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Sulfur is another element that exists as an allotrope. In what other ways is sulfur similar to carbon?
Sulfur and carbon share several similarities in terms of their chemical behavior and ability to form different allotropes. Here are a few ways in which sulfur is similar to carbon:
Allotropy: Both sulfur and carbon exhibit allotropy, meaning they can exist in different forms or allotropes with distinct structures and properties. Carbon is known for its allotropes such as graphite, diamond, and fullerenes (like buckminsterfullerene or C60). Similarly, sulfurhas different allotropes, including rhombic sulfur (S8 rings), monoclinic sulfur, and plastic sulfur. Valence: Both sulfur and carbon can form multiple covalent bonds due to their valence electron configuration. Carbon has four valence electrons, allowing it to form stable bonds with other atoms, leading to the vast diversity of organic compounds. Sulfur, with six valence electrons, can also form multiple bonds and participate in various chemical reactions.
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Which vector below goes from (0, 0) to (-2, 3)?
select the planetary properties which we can measure with current doppler method.
-eccentricity of orbit
-semimajor axis of orbit
-lower limit mass
-orbital period
The Doppler method can measure the eccentricity of orbit, semimajor axis of orbit, lower limit mass, and orbital period of exoplanets.
Eccentricity of orbit: The Doppler method can provide information about the eccentricity of a planet's orbit by detecting the periodic variations in the star's radial velocity caused by the planet's gravitational pull.
Semimajor axis of orbit: The Doppler method allows for the determination of the semimajor axis of a planet's orbit. By measuring the periodic changes in the star's radial velocity, scientists can infer the distance between the star and the planet, which corresponds to the semimajor axis.
Lower limit mass: The Doppler method can provide a lower limit estimate of a planet's mass. By observing the periodic variations in the star's radial velocity, scientists can calculate the minimum mass of the planet based on the gravitational influence it exerts on the star.
Orbital period: The Doppler method is particularly effective in determining the orbital period of a planet. By measuring the time it takes for the periodic changes in the star's radial velocity to repeat, scientists can accurately determine the planet's orbital period.
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(Newton's Law of Cooling): The mathematical formulation of Newton's empirical law of cooling/warming of an object is given by the linear first-order differential equation
dt
dT
=k(T−T
s
), where k is a constant of proportionality, T(t) is the temperature of the object at any time t≥0, and T
s
is the surrounding environmental temeperature, that is, the temperature of the medium around the object. (i). Assuming that T
s
is constant, find the temeperature of the object as a function of time if T(0)=T
0
. (ii). Then what is the temepretauer of the object after 5 minutes?
Newton's Law of Cooling is described by the first-order linear differential equation dt/dT = k(T - Ts), where T(t) is the temperature of the object at time t, Ts is the surrounding environmental temperature, and k is the constant of proportionality.
The temperature of an object, governed by Newton's Law of Cooling
(i) To find the temperature of the object as a function of time, we first solve the differential equation dt/dT = k(T - Ts). This is a separable differential equation, and the solution can be obtained by rearranging and integrating:
dt/dT = k(T - Ts)
dt = k(T - Ts) dT
∫ dt = ∫ k(T - Ts) dT
t = k * ∫ (T - Ts) dT
t = k * (T^2/2 - Ts*T) + C
Now, we apply the initial condition T(0) = T0. At t=0, the temperature of the object is T0:
T(0) = T0
k * (\(T0^2\)/2 - Ts*T0) + C = T0
C = T0 - k * (\(T0^2\)/2 - Ts*T0)
C = T0 - k * (\(T0^2\)- 2 * Ts * T0) / 2
C = T0 - k * (\(T0^2\) - 2 * Ts * T0) / 2
So, the equation becomes:
t = k * (\(T^2\)/2 - Ts*T) + (T0 - k * (\(T0^2\)- 2 * Ts * T0) / 2)
(ii) Now, we can find the temperature of the object after 5 minutes (t = 5 minutes). We'll use the initial condition T(0) = T0 and the formula obtained in part (i):
t = 5 minutes = 5/60 hours = 1/12 hours
T(t) = Ts + (T0 - Ts) * exp(-kt)
T(1/12) = Ts + (T0 - Ts) * exp(-k * (1/12))
This equation gives us the temperature of the object after 5 minutes, considering the given initial temperature T0 and the surrounding environmental temperature Ts.
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As you walk to science class, you start out at a speed of 2 m/s, for a time of 120 seconds (you’re really excited to get to class). Then you see your friend and slow down to a speed of 0.5m/s for 30 seconds. You stop at your locker for 40 seconds (a speed of 0 m/s). You realize that you are about to be late so you hurry to class at a speed of 1 m/s and get to class just as the bell rings (4 minutes after your trip started). How far did you travel total?
The total travelled distance is • Speed, time and distance is one of the most common and important topics in the Mathematics or Quant section.
What is Speed?Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.
For instance, 50 km/hr west denotes the velocity of a car whereas 50 km/hr (31 mph) denotes the speed at which it is moving down a route.
The average speed of an object is determined by dividing the distance traveled by the amount of time it takes the object to reach the distance.
Therefore, The total travelled distance is • Speed, time and distance is one of the most common and important topics in the Mathematics or Quant section.
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Radius of curvature of human eye is 0.78 cm. For an object at infinity, image is formed at 3 cm behind the
Tetracting surface. The refractive index of eye is:
The refractive index of the eye cannot be determined with the information provided.
What is the refractive index of the eye,n ?This refers to the value obtained from the ratio of the speed of light in a vacuum to that in a second medium of greater density.
The refractive index is also equivalent to the velocity of light c of a given wavelength in empty space divided by its velocity v in a substance.
It can be calculated using the formula:
n = c/v.
where,
n = the refractive index of the eye
c = wavelength in empty space
v = the velocity of light
From the question:
r = 0.78 cm
i = 3 cm
The radius of curvature and the location of the image formed by an object at infinity is related to the eye's optics, but the refractive index also depends on the materials of the various parts of the eye, such as the cornea and lens.
Hence, the refractive index can also vary depending on the specific wavelength of light being considered.
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A cell phone uses a 3. 0 V battery. The circuit board it uses needs a 0. 05 A current. What size resistor is needed to generate this current?.
The value of resistance will be 60 ohms. Resistance is the ratio of the voltage to the electric current passing through the wire.
What is a resistor?A resistor is a two-terminal passive electrical component that acts as a circuit element by implementing electrical resistance.
Resistors are used to limit current flow, alter signal levels, divide voltages, bias active devices, and complete transmission lines in electronic circuits.
The given data in the problem is;
V is the voltage = 3. 0 V
I is value of current= 0. 05 A
R is the resistance=?
According to ohm's law, the potential difference between the two ends of the conductor is equal to the product of electric current and the resistance generated.
So from the ohm law;
V= IR
\(\rm R = \frac{V}{I} \\\\ \rm R = \frac{3}{0.05} \\\\ \rm R =60 \ ohm\)
Hence the value of resistance will be 60 ohms.
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rotational kinematics with constant angular acceleration: a 1.15-kg grinding wheel 22.0 cm in diameter is spinning counterclockwise at a rate of 20.0 revolutions per second. when the power to the grinder is turned off, the grinding wheel slows with constant angular acceleration and takes 50.0 s to come to a rest. (a) what was the angular acceleration (in rad/s2) of the grinding wheel as it came to rest if we take a counterclockwise rotation as positive? (b) how many revolutions did the wheel make during the time it was coming to rest?
(a) The angular acceleration of the grinding wheel as it came to rest is approximately -0.008 rad/s² (clockwise).
(b) The wheel made approximately 1000 revolutions during the time it was coming to rest.
(a) We can use the formula of rotational kinematics:
ω = ω₀ + αt
where ω is the final angular velocity, ω₀ is the initial angular velocity, α is the angular acceleration, and t is the time.
Given:
ω = 0 rad/s (final angular velocity)
ω₀ = 20.0 revolutions per second = 20.0 * 2π rad/s (initial angular velocity)
t = 50.0 s
Substituting the values into the formula, we have:
0 = 20.0 * 2π + α * 50.0
Solving for α, we get:
α ≈ -0.008 rad/s² (clockwise)
(b) To find the number of revolutions the wheel made during the time it was coming to rest, we can use the formula:
θ = ω₀t + 0.5αt²
where θ is the angular displacement.
Given:
ω₀ = 20.0 revolutions per second = 20.0 * 2π rad/s (initial angular velocity)
t = 50.0 s
α ≈ -0.008 rad/s² (clockwise)
Substituting the values into the formula, we have:
θ = (20.0 * 2π) * 50.0 + 0.5 * (-0.008) * (50.0)²
Simplifying the equation, we find:
θ ≈ 1000 revolutions
Therefore, the wheel made approximately 1000 revolutions during the time it was coming to rest.
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How did the English bill of rights impact the colonists views of government?
The English Bill of Rights helped to shape the colonists' views of government by promoting the ideas of individual liberty, representative democracy, and limited government.
What is English bill of rights?The English Bill of Rights is a document that was passed by the Parliament of England in 1689. It was a key moment in the development of modern democratic government, as it established certain rights and protections for English citizens, such as the right to bear arms, the right to a fair trial, and the prohibition of cruel and unusual punishment.
The English Bill of Rights also limited the power of the monarchy, requiring the king or queen to obtain the consent of Parliament before levying taxes or making other important decisions. Its influence can still be seen today in many democracies around the world.
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Another name for the water cycle is the
Answer:
Hydrologic cycleExplanation:
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express the current i1 going through resistor r1 in terms of the currents i2 and i3 going through resistors r2 and r3. use the direction of the currents as specified in the figure.
To express the current i1 in terms of the currents i2 and i3, we can use Kirchhoff's current law (KCL), which states that the sum of currents entering a node is equal to the sum of currents leaving the node. In this case, the node where i1, i2, and i3 meet is the point of interest.
Based on the direction of the currents specified in the figure, we can write the equation:
i2 + i3 = i1
This equation represents the application of KCL at the node where i1, i2, and i3 are connected. According to KCL, the sum of currents entering the node (i2 and i3) is equal to the sum of currents leaving the node (i1).
Therefore, the expression for the current i1 in terms of i2 and i3 is:
i1 = i2 + i3
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I am a change in movement cause by unbalanced forces what am I?
If I am a change in momentum cause by unbalanced forces, then i am a force. force is change in a momentum.
Momentum is defined as product of mass and velocity of the body. It is denoted by letter p and it is expressed in kg.m/s. Mathematically p = mv. it discuss the moment of the body. body having zero mass or velocity has zero momentum. The dimensions of the momentum is [M¹ L¹ T⁻¹].
The rate of change of momentum is a force applied on it. this force is unbalanced force which is responsible for the motion of the object.
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A force is a vector quantity because it has both:
A. action and reaction counterparts.
B. magnitude and direction.
C. magnitude and action
D. mass and acceleration.
B. magnitude and direction.
Why does force have a direction and magnitude?When two forces of equal size are working in opposite directions—one in the east and one in the west—the results of the two pressures are not the same.Therefore, the magnitude and direction should be provided in order to accurately characterize a force.
What forces are there, and in what direction?We can define force as that of the push or pull on an item with a certain magnitude and direction as we know that what a push or a pull indeed has magnitude and direction (hence, it is vector quantity).
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