Question

A block of mass 16 kg moving with velocity 4 m/s on a frictionless surface compresses an ideal spring and comes to rest. If force constant of the spring is 100 N/m then how much will be the spring compressed?

Options

• 0.4 m

• 1.6 m

• 1.2 m

• 0.8 m

Answer 1

1.6 m

Explanation:

`1/2kx^2=1/2"mv"^2`

`1/2xx100xxx^2=1/2xx16xx4^2`

50x² = 128

∴ x =  1.6 m