A body of mass 0.15 ~kg moving with a velocity of 15 ~ms ⁻¹ comes to rest, when it hits a spring that is fixed at another end. If the force constant of the spring is 1500 Nm ⁻¹ , then the compression in the spring is

Step-by-step solution

Given, mass of the body, m=0.15 ~kg Velocity of the body, v=15 ~ms ⁻¹ Spring constant, k=1500 Nm ⁻¹ According to law of conservation of energy, the change in kinetic energy is equal to the change in potential energy, i.e. aligned 1 2 m v^2-0 & =0+ 1 2 k x^2 x^2 & = m k v^2 x=v m k =15 0.15 1500 & =0.15 ~m aligned