Momentum and Collision Questions

A particle of mass m is projected from the ground with an initial speed u0 at an angle α with the horizontal. At the highest point of its trajectory, it makes a completely inelastic collision wit...

An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of 12 ms-1 and the second part of ma...

Two persons of masses 55 kg and 65 kg respectively, are at the opposite ends of a boat. The length ofthe boat is 3.0 m and weighs 100 kg. The 55 kg man walks up to the 65 kg man and sits with him. If ...

There is a circular tube in a vertical plane. Two liquids which do not mix and of densities d1 and d2 are filled in the tube. Each liquid subtends 90o angle at centre. Radius joining their interface m...

On heating water, bubbles being formed at the bottom of the vessel detatch and rise. Take the bubbles to be spheres of radius R and making a circular contact of radius r with the bottom of the vessel....

An open glass tube is immersed in mercury in such a way that a length of 8 cm extends above the mercury level. The open end of the tube is then closed and sealed and the tube is raised vertically up b...

A ′T′ shaped object with dimensions shown in the figure, is lying on a smooth floor. A force F is applied at the point P parallel to AB, such that the object has only the translational mot...

The force F acting on a particle of mass m is indicated by the force-time graph shown below. The change in momentum of the particle over the time interval from zero to 8 s is...

A body of mass (4m) is lying in x-y plane at rest. It suddenly explodes into three pieces. Two pieces each of mass (m) move perpendicular to each other withequal speeds (v). The total kinetic energy g...

A certain number of spherical drops of a liquid of radius r coalesce to form a single drop of radius R and volume V. If ′T′ is the surface tension of the liquid, then...

A ball of mass 1 kg is suspended by an inextensible string 1 m long attached to a point O of a smooth horizontal bar resting on a fixed smooth supports A and B. The ball is released from rest the posi...

The following four wires are made of the same material. Which of these will have the largest. extension when the same tension is applied-

The length of needle floating on the surface of water is 1.5 cm. The force in addition to its weight required to lift the needle from water surface will be (surface tension of water = 7.5 N/cm) : -...

Two particles of masses m1, m2 move with initial velociteis u1 and u2. On collision, one of the particles get excited to higher level, after abosrbing energy e. If final velocities of particles be v1 ...

It is found that if a neutron suffers an elastic collinear collision with deuterium at rest, fractional loss of its energy is pd ; while for its similar collision with carbon nucleus at rest, fract...

The mass of a hydrogen molecule is 3.32× 10-27 kg. If 1023 hydrogen molecules strike, per second, a fixed wall of area 2 cm2 at an angle of 45o to the normal, and rebound elastically with a speed...

The spring balance A reads 2 kg with a block m suspended from it. A balance reads 5 kg when the beaker with liquid is put on the pan of the balance. The two balance are now so arragned that the hangin...

The wettability of a surface by a liquid depends primarily on :-

A thin liquid film formed between a U-shapedwire and a light slider supports a weight of1.5 × 10-2 N (see figure). The length of theslider is 30 cm and its weight negligible. Thesurface tension of the...

A ball of mass 0.2 kg rests on a vertical post of height 5 m. A bullet of mass 0.01 kg, traveling with a velocity V m/s in a horizontal direction, hits the centre of the ball. After the collision, the...