Home
Class 11
PHYSICS
A massless platform is kept on a light 0...

A massless platform is kept on a light 0.1 kg elastic spring, as shown in the figure When particle of mass 0.1 kg is dropped on the pan from a height of 0.24 m, the particle strikes the pan, and the spring is compressed by 0.01 m. From what height should the particle be dropped to cause a compression of 0.04 m ?

Text Solution

Verified by Experts

If the particle is dropped from a height .h. and the spring is compressed by y. Loss in PE of the particle will be mg (h + y) while gain in elastic potential energy is `1//2 ky^(2)`.
According to conservation of mechanical energy
`mg(h+y)=(1)/(2)ky^(2)`
As .m. and .K. remain same
`(h_(1)+y_(1))/(h_(2)+y_(2))=((y_(1))/(y_(2)))^(2)`
`(0.24+0.01)/(h_(2)+0.04)=((0.01)/(0.04))^(2), h_(2)=3.96m`
Promotional Banner

Similar Questions

Explore conceptually related problems

A massless platform is kept on a light elastic spring as shown in figure. When a small stone of mass 0.1 kg is dropped on the pan from a height of 0.24 m, the spring compresses by 0.01m. From what height should the stone be droppped to cause a compression of 0.04m in the spring ?

A massless platform is kept on a light elastic spring as shown in figure. When a small stone of mass 0.1 kg is dropped on the pan from a height of 0.24 m, the spring compresses by 0.01m. From what height should the stone be droppped to cause a compression of 0.04m in the spring ?

A particle of mass m is dropped from a great height h above the hole in the earth dug along its diameter.

A ball of mass m is droppped from a height h on a platform fixed at the top of a vertical spring. The platform is depressed by a distance x . What is the spring constant K ?

A block of 200 g mass is dropped from a height of 2 m on to a spring and compress the spring to a distance of 50 cm. The force constant of the spring is

In the figure, the position time graph of a particle of mass 0.1 kg is shown. The impulse at t=2 second is :

A particle (A) is dropped from a height and another particles (B) is thrown into horizontal direction with speed of 5m/s sec from the same height. The correct statement is

A particle of mass 1 kg is kept at (1m,1m,1m). The moment of inertia of this particle about Z-axis would be

A block of mass 2 kg is dropped from a height of 40 cm on a spring whose force-constant 1960 N m^(-1) . The maximum distance through which the spring is compressed by

A block of mass m and a pan of equal mass are connected by a string going over a smooth light pulley as shown in figure. Initially the system is at rest when a particle of mass m falls on the pan and sticks to it. If the particle strikes the pan with a speed v find the speed with which the system moves just after the collision.