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Question: A brick of mass 1.8 kg is kept on a spring of spring constant K = 490 N m<sup>-1</sup>. The spring i...

A brick of mass 1.8 kg is kept on a spring of spring constant K = 490 N m-1. The spring is compressed so that after the release brick rises to 3.6 m. Find the compression in the spring.

A

0.21 m

B

0.322 m

C

0.414 m

D

0.514 m

Answer

0.514 m

Explanation

Solution

12\frac { 1 } { 2 } kx2 = mgh or

x = 2×1.8×10×3.6490=3.67=0.514 m\sqrt { \frac { 2 \times 1.8 \times 10 \times 3.6 } { 490 } } = \frac { 3.6 } { 7 } = 0.514 \mathrm {~m}