# A block of 8 kg is moving with speed of 4 m/s on a frictionless surface. The block into the rest position by compressing the spring. The spring constant is 2 x 102 N/m. How much will the spring compressed?

Mass of the block (m) = 8 Kg

Velocity of the block (v) = 4m/s

Spring constant (k) = 2 × 102 N/m

The kinetic energy of the block will be converted into the potential energy of the spring.

x = √0.64

x = 0.8 m

Hence, the compression of the spring is 0.8 m.

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