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A force of 10 N acts on a body at rest for 5s and then force of 8N acts in opposite direction to the earlier for 4s. if the kinetic energy gained by the body is 18J, then mass of the body is

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2kg

8kg

18kg

9kg

answer is C.

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Detailed Solution

$Δ P = f_{1} t_{1} - F_{2} t_{2} = (10 \times 5 - 8 \times 4) = 18 {kgms}^{- 1}$

$Δ K = \frac{Δ P^{2}}{2 m} \Rightarrow m = \frac{18 \times 18}{2 \times 18} = 9 kg$

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