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.
Solution
To solve this problem, we need to use the following physics equations:
- Kinetic Energy (KE) = 1/2 * mass * velocity^2
- Force (F) = mass * acceleration
- 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.
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