Question 22

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


Correct Answer: 40

Solution

A spherical body of mass $$m = 2$$ kg starts from rest and acquires kinetic energy $$KE = 10000$$ J at the end of 5 seconds.

Find the velocity at $$t = 5$$ s.

$$KE = \frac{1}{2}mv^2 \implies 10000 = \frac{1}{2}(2)v^2 \implies v^2 = 10000 \implies v = 100 \text{ m/s}$$

Find the acceleration.

Starting from rest: $$v = at$$

$$100 = a \times 5 \implies a = 20 \text{ m/s}^2$$

Find the force.

$$F = ma = 2 \times 20 = 40 \text{ N}$$

The answer is $$\boxed{40}$$ N.

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