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AnnyKZ [126]
2 years ago
10

A merry-go-round initially at rest at an amusement park begins to rotate at time t=0. The angle through which it rotates is desc

ribed by θ(t)=πk(t+ke−t/k), where k is a positive constant, t is in seconds, and θ is in radians. The angular velocity of the merry-go-round at t=T is
Physics
1 answer:
cupoosta [38]2 years ago
5 0

Answer:

Angular velocity of merry-go-round is πk - 1 at t= T

Explanation:

From the question it is given that

\theta(t) = \pi k(t+k_e-\frac{t}{k} ) ..........................(1)

since mathematically, angular velocity is defined as

\omega(t) = \frac{d\theta(t)}{dt} ........................(2)

on substituing the value of θ(t) from equation 1 in equation (2) we get

\omega(t) = \frac{d\theta(t)}{dt} = \frac{d\pi k (t + k_e - \frac{t}{k} )}{dt}   ............................(3)

on differentiating equation (3) with respect to time we get

ω(t) = πk(1 -\frac{1}{k}) = πk - 1 angular velocity of merry-go-round

Therefore, angular velocity of merry-go-round is πk - 1 at t= T

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To solve this problem we will apply the kinematic equations of linear movement. For this purpose we will begin to define the final speed of the body before hitting the street. The first equation will begin using the difference in velocities as a function of acceleration (gravity) and position. And the second will use the concept of acceleration, time and speed, to find the time variable.

PART A) Equation of motion is

v^2-u^2 = 2as

v^2 = u^2+2as

Replacing,

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The speed of rock before hitting the ground is 32.74m/s

PART B) Equation of motion

v-u=at

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t = 5.58s

Therefore the time taken by the rock is 5.58s

4 0
2 years ago
The voltage between two parallel plates separated by a distance of 3.0 cm is 120 v. the electric field between the plates is:___
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The electric field between two plates is 40 V/m.

To find the electric field between two plates, the values are given are,

distance =  3 cm

Voltage v = 120 v

<h3>What is electric field between two plates?</h3>

           The electric field between plates is the area where the charges between two plates, influences can be seen. For example, if a charged particle is placed near any charged plate, the plate exerts an electric force to attract or repel the charged particle.

Formula is given as,

                        E = V / d (v/m)

Substituting the given values,

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Hence, the answer is 40 v/m.

Learn more about electric field,

brainly.com/question/8971780

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Suppose a negative point charge is placed at x = 0 and an electron is placed at some point P on the positive x-axis. What is the
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Answer:

E along –x; F along +x

Explanation:

  • When a negative point charge is placed at x=0 and an electron is place at any point P on the positive x-axis the as we know that the like charges repel each other, but there will be no change in the natural tendency of the individual electric field lines.
  • So the direction of the electric field lines at point P due to the point charge will be towards the negative x-axis.
  • The direction of force on the electron due to the electric field of point charge at x=0 will be towards positive x-axis in accordance of the repulsion effect.
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2 years ago
Adog has a mass of 12 kg. What is its weight? Round your answer to the nearest whole number
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Answer:

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1. The mass defect of iron-56 is 0.52875 amu. What is the energy equivalent of this mass?
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Hello! Your answer is BELOW

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1.About 91.754% of all iron is iron-56. Of all nuclides, iron-56 has the lowest mass per nucleon. With 8.8 MeV binding energy per nucleon, iron-56 is one of the most tightly bound nuclei.

2.The atomic weight of lead is quite variable in nature because the three heaviest isotopes are the stable end-products of the radioactive decay of uranium (238U to 206Pb and 235U to 207Pb) and thorium (232Th to 208Pb).

3.Mass defect for uranium-238 is 3.983 × 10-25 kg.

4.Energy and Mass Are Relative

The equation E = mc^2 states that the amount of energy possessed by an object is equal to its mass multiplied by the square of the speed of light.

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