Home
Class 11
PHYSICS
A smooth hemisphere of mass m and radius...

A smooth hemisphere of mass m and radius R is at rest. A smooth solid sphere of mass 2m and radius R moving with velocity `V_(0)` between two horizontal smooth surfaces separated by a distance slightly greater than 2R as shown in figure. Solid sphere collides with the hemisphere. if coefficient of restitution is `(1)/(2)`, then

A

The speed of hemisphere after collision is `V_(0)`

B

The speed of solid sphere after collision is `(V_(0))/(2)`

C

The loss in kinetic energy of the system is `("mV"_(0)^(2))/(4)`

D

The final kinetic energy of hemisphere is 1/4th the initial kinetic energy of the sphere

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Similar Questions

Explore conceptually related problems

Figure shows a hemispherical shell of mass M and radius R and a concentric shell of mass m and radius 3R/4.

A solid sphere of mass m and radius R is rolling without slipping as shown in figure. Find angular momentum of the sphere about z-axis.

A solid sphere of mass M and radius R is pulled horizontally on a rough surface as shown in Fig. Choose the incorrect alternatives.

A solid sphere of mass M and radius R is initially at rest. Solid sphere is gradually lowered onto a truck moving with constant velocity v_(0) What is the final speed of the sphere's centre of mass m ground frame when eventually pure rolling sets in

A ball of mass m moving with speed u collides with a smooth horizontal surface at angle theta with it as shown in figure. The magnitude of impulse imparted to surface by ball is [Coefficient of restitution of collision is e]

A sphere of mass m falls on a smooth hemisphere of mass M resting with its plane face on smooth horizontal table, so that at the moment of impact, line joining the centres makes an angle with the vertical. The velocity of sphere just before impact is u and e is the coefficient of restitution.

A ball moving with speed v collides with a horizontal smooth surface at an angle theta with normal to surface as shown in figure. If coefficient of restitution of collision is e, then find v'

A solid sphere of mass m and radius R is gently placed on a conveyer belt moving with constant velocity v_(0) . If coefficient of friction between belt and sphere is 2//7 the distance traveled by the centre of the sphere before it starts pure rolling is

A disc of mass m and radius R is kept on a smooth horizontal surface with its plane parallel to the surface. A particle of same mass m travelling with speed v_(0) collides with the stationery disc and gets embedded into it as shown in the figure. Then

A uniform solid sphere of mass m and radius r is suspended symmetrically by a uniform thin spherical shell of radius 2r and mass m .