Home
Class 12
PHYSICS
A sphere of mass m and radius R rolls wi...

A sphere of mass `m` and radius `R` rolls without sliding on a horizontal surface. It collides with a light spring of stiffness `K` with a kinetic energy `E`. If the surface (`AB`) under the spring is smooth, find the maximum compression of the spring.

Text Solution

Verified by Experts

The correct Answer is:
`sqrt((10E)/(7k))`
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MECHANICS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE ) LEVEL - I|41 Videos
  • ROTATIONAL MECHANICS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE ) LEVEL - II|16 Videos
  • ROTATIONAL MECHANICS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE ) LEVEL - I|15 Videos
  • PHYSICS PART2

    FIITJEE|Exercise Numerical Based Question Decimal Type|6 Videos
  • SEMICONDUCTOR AND DEVICE

    FIITJEE|Exercise SOLVED PROBLEMS Objective: Level-I|20 Videos

Similar Questions

Explore conceptually related problems

A block of mass m strikes a light pan fitted with a vertical spring after falling through a distance h. If the stiffness of the spring is k, find the maximum compression of the spring.

A loop of mass M and radius R is rolling on a smooth horizontal surface with speed 'v'. It's total kinetic energy is

A sphere is rolling on a horizontal surface without slipping. The ratio of the rotational K.E. to the total kinetic energy of the sphere is

In an ideal pulley particle system, mass m_2 is connected with a vertical spring of stiffness k . If mass m_2 is released from rest, when the spring is underformed, find the maximum compression of the spring.

A bullted of mass m embeds itself in a block of mass M resting on a smooth horizontal surface, attached to a spring of force constant k. If the initial sped of the bullet is v_(0) along horizontal, find (a) the maximum compression of the spring and (b) the time forthe bullet - block system to come to rest.

A small mass 'm' is sliding down on a smooth curved incline form a height 'h' and finally moves through a horizontal smooth surface. A light spring of force constant K is fixed with a vertical rigid stand on the horizontal surface, as shown in the figure. Find the value for the maximum compression in the spring if mass 'm' is released from rest from height 'h' and hits the spring in the horizontal surface. .

A block of mass m is moving with a speed v on a horizontal rought surface and collides with a horizontal monted spring of spring constant k as shown in the figure .The coefficient of friction between the block and the floor is mu The maximum cobnpression of the spring is

A uniform solid sphere A of mass m is rolling without sliding on a a smooth horizontal surface. It collides elastically and head - on with another stationary hollow sphere B of the same mass and radius. Assuming friction to be absent everywhere, the ratio of the kinetic energy of B to that of A just after the collision is

Two smooth blocks of mases m_(1) and m_(2) attached with an ideal spring of stiffness k and kept on hrozontal surface. If m_(1) is projected with a horizontal velocity v_(0) . Find the maximum compression of the spring.

A solid sphere of mass m and radius R rolls without slipping on the horizontal surface such that its velocity of center of mass is v_(0) . Find its translational kinetic energy, rotational kinetic energy, total kinetic energy, gravitational potential energy taking surface as reference level and mechanical energy.