Question 29

A body of mass 1 kg moves along a straight line with a velocity $$v = 2x^2$$. The work done by the body during displacement from $$x = 0$$ to 5 m is __________ J.

$$W = \Delta K = \frac{1}{2}m v_f^2 - \frac{1}{2}m v_i^2$$

Velocity function $$v = 2x^2$$

$$v_i (\text{at } x = 0) = 2(0)^2 = 0 \text{ m/s}$$

$$v_f (\text{at } x = 5) = 2(5)^2 = 2(25) = 50 \text{ m/s}$$

$$W = \frac{1}{2}(1)(50^2 - 0^2)$$

$$W = 1250 \text{ J}$$

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