Rankers Physics

Principal of Conservation of Energy: Practice Problem & Solution

For a spring force-compression graph is shown in figure. A body of mass 5 kg moving with a speed of 8 ms–1 collides the The maximum compression in the spring is Principal of Conservation of Energy diagram: For a spring force-compression graph is shown in
2 m
4 m
6 m
8 m

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Principal of Conservation of Energy. Understanding the underlying formula is key to arriving at the correct answer below:

Using this graph we can find value of Spring constant.

F = - K.x

So, K = 80 N/m

Kinetic Energy of the block will convert into spring potential energy

so, ½mv² = ½ k x²

solving x = 2 m

Leave a Reply

Your email address will not be published. Required fields are marked *

Similar Practice Questions

Explore conceptually related problems to test your knowledge.

1. A particle is released from height \(S\) from the surface of the Earth. At a certain height its kinetic energy is three times its potential energy. The height from the surface of Earth and the speed of the particle at that instant are respectively: (2021)
2. A mass m slips along the wall of a hemispherical surface of radius R. The velocity at the bottom of the surface is
3. A simple pendulum is released from A as shown. If m and l represent the mass of the bob and length of the pendulum, the gain in kinetic energy at B is
4. The block of mass M moving on the frictionless horizontal surface collides with the spring of spring constant K and compresses it by length L. The maximum momentum of the block after collision is
5. A child is sitting on a swing. Its minimum and maximum heights from the ground is \(0.75\text{ m}\) and \(2\text{ m}\) respectively, its maximum speed will be: (2001)