A body of mass 1 kg moves along a straight line with a velocity . The work done by the body during displacement from

Question

A body of mass 1 kg moves along a straight line with a velocity $v = 2 x^{2}$ . The work done by the body during displacement from $x = 0$ to 5 m is ______ J. [2026]

Smart Achievers · Accepted Answer

(3)

$W = Δ K . E = K_{f} - K_{i}$

$W = \frac{1}{2} m (v_{f}^{2} - v_{i}^{2})$

$= \frac{1}{2} \times 1 {[(2 {{(5)}^{2})}^{2} - (2 {(0))}^{2}]}_{0}^{5}$

$= \frac{1}{2} \times 50 \times 50 = 1250 J$

Solution

Q.
A body of mass 1 kg moves along a straight line with a velocity $v = 2 x^{2}$ . The work done by the body during displacement from $x = 0$ to 5 m is ______ J. [2026]

1 0

2 250

3 1250

4 1000

Ans.
(3)

$W = Δ K . E = K_{f} - K_{i}$

$W = \frac{1}{2} m (v_{f}^{2} - v_{i}^{2})$

$= \frac{1}{2} \times 1 {[(2 {{(5)}^{2})}^{2} - (2 {(0))}^{2}]}_{0}^{5}$

$= \frac{1}{2} \times 50 \times 50 = 1250 J$

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