A block of mass 2 kg is attached to one end of a massless spring whose other end is…

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A block of mass 2 kg is attached to one end of a massless spring whose other end is fixed at a wall. The spring-mass system moves on a frictionless horizontal table. The spring's natural length is 2 m and spring constant is 200 N/m200 \text{ N/m} . The block is pushed such that the length of the spring becomes 1 m and then released. At distance x mx \text{ m} ( x<2x < 2 ) from the wall. the speed of the block will be (a) 10[1−(2−x)]3/2 m/s10[1 - (2 - x)]^{3/2} \text{ m/s} (b) 10[1−(2−x)2]1/2 m/s10 [1 - (2 - x)^2]^{1/2} \text{ m/s} (c) 10[1−(2−x)2] m/s10 [1 - (2 - x)^2] \text{ m/s} (d) 10[1−(2−x)2]2 m/s10 [1 - (2 - x)^2]^2 \text{ m/s}

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