Question

A 2kg block is dropped from a height of 0.4 m on a spring of force constant K = 1960 Nm−1. The maximum compression of the spring is

0.1 m

0.2 m

0.3 m

0.4 m

• A. 0.1 m
• B. 0.2 m
• C. 0.3 m
• D. 0.4 m

Answer 1

Answer: (D)

The correct option is

A

0.1 m

When a block is dropped from a height, its potential energy gets converted into kinetic energy and finally spring get compressed due to this energy.

∴ Gravitational potential energy of block = Elastic potential energy of spring

⇒mg(h+x)=(½)*k*x²

⟹(2)(9.8)(0.4+x)=1/2(1960)(x)²

⇒x=0.1m