JEE Main 2022 · 28 Jul · Shift 1 · Physics Q59

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PhysicsInteger+4 / -1Question 59 of 90

A block of mass 'm' (as shown in figure) moving with kinetic energy E compresses a spring through a distance 25 cm when, its speed is halved. The value of spring constant of used spring will be nE Nm $^{-1}$ for n = ______.

Block m with kinetic energy E moving right on a smooth surface towards a spring fixed to a wall.

Your answer

Answer and worked solution

Official answer: 24

Energy. Halving the speed leaves $\frac E4$ , so the spring stores $\frac{3E}4=\frac12k(0.25)^2$ and $k=24E$ .

Answer: 24

Topics:Spring potential energy

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JEE Main 2022 · 28 Jul · Shift 1, Physics question 59