Question

A body of mass 0.1 kg moving with a velocity of 10 m/s hits a spring (fixed at the other end) of force constant 1000 N/m and comes to rest after compressing the spring. The compression of the spring is

• A. 0.01 m
• B.
• C.
• D. 0.5 m

Answer 1

Answer: (B)

Answer 2

$\frac { 1 } { 2 } m v ^ { 2 } = \frac { 1 } { 2 } k x ^ { 2 }$⇒ $x = v \sqrt { \frac { m } { k } } = 10 \sqrt { \frac { 0.1 } { 1000 } } = 0.1 \mathrm {~m}$