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A spherical body of mass 2 kg starting from rest acquires a kinetic energy of 10000 J at the end of 5th  second. The force acted on the body is _____ N.

Question

A spherical body of mass 2 kg starting from rest acquires a kinetic energy of 10000 J at the end of 5th  second. The force acted on the body is _____ N.

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Solution

To solve this problem, we need to use the following physics equations:

  1. Kinetic Energy (KE) = 1/2 * mass * velocity^2
  2. Force (F) = mass * acceleration
  3. Acceleration (a) = change in velocity / time

First, we need to find the velocity of the spherical body using the kinetic energy formula. We know that the kinetic energy is 10000 J and the mass is 2 kg. So,

10000 = 1/2 * 2 * velocity^2 10000 = velocity^2 velocity = sqrt(10000) = 100 m/s

Next, we need to find the acceleration of the body. We know that the body started from rest, so the initial velocity is 0. The final velocity is 100 m/s and the time is 5 seconds. So,

acceleration = (100 - 0) / 5 = 20 m/s^2

Finally, we can find the force acted on the body using the force formula. We know that the mass is 2 kg and the acceleration is 20 m/s^2. So,

Force = 2 * 20 = 40 N

Therefore, the force acted on the body is 40 N.

This problem has been solved

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