An object with mass 500 g moves along x-axis with speed . The force acting on the object is : [2025]

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Solution

Q.
An object with mass 500 g moves along x-axis with speed $v = 4 \sqrt{x} m / s$ . The force acting on the object is : [2025]

1 8 N

2 5 N

3 6 N

4 4 N

Ans.
(4)

The force acting on the object, F = ma

$v = 4 \sqrt{x} \Rightarrow v^{2} = 16 x$

$2 v \frac{d v}{d x} = 16$

$a = v \frac{d v}{d x} = \frac{16}{2} = 8 {ms}^{- 2}$

$\Rightarrow F = 0.5 \times 8 = 4 N$

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