Related InterviewSolutions

• A ball falls vertically onto a floor with momentum `p`, and then bounces repeatedly. If the coefficient of restitution is `e`, then the total momentum imparted by the ball on the floor till the ball comes to rest isA. `p(1+e)`B. `p/(1-e)`C. `p(1+(1)/(e))`D. `p((1+e)/(1-e))`
• A simple pendulum is supended from a peg on a verticl wall. The pendulum is pulled away from the wall to a horizontal position and releases as shown in figure `-4.152.` The ball hits the wall, the coefficient of restitution being `2//sqrt2.` What is the minimum number of collisions after which the amplitude of oscillation becomes less than `60^(@)`
• A closed system consists of two particles of masses `m_1` and `m_2` which move at right angles to each other with velocities `v_1` and `v_2`. Find: (a) the momentum of each particle and (b) the total kinetic energy of the two particles in the reference frame fixed to their centre of inertia.
• Two spheres of masses 2m and 3m move towards each other with speed `mu` and v respectively. The centres of the sphere move in the same sraight line. The coeffcient of restitutionis `1//2` Find The condition for which motionof each sphere will be reversedon impect The condition for which each sphere will lose knetic energy on impect.
• A projectile of mass 20 kg is fired with a velocity of `400m//s`at an angle of `45^(@)` with the horizontal .At the highest point of the trajectocy the projectile explodes into two fragments of equal mass,one of which falls vertically downward with zero initial speed, The distance of the point where the other fragment falls from the point offiring is:A. 24000 mB. 16000 mC. 32000 mD. 8000 m
• A shell is fired from a cannot with a speed of `100ms^(-1)` at an anlge `60^(@)` with the horizontal (x-direction). At the highest point of its trajectory the shell explodes into two equal fragments. One of the fragments moves along the negative x-direction with a speed of `50 ms^(-1).` What is the speed of the other fragment at the time of explosion ?A. `150ms^(-1)`B. `50ms^(-1)`C. `100ms^(-1)`D. `200ms^(-1)`
• A shell is fired from a connot with a velocity V at an angle 0 with the horizontal direction .At the highest point in its path it explodes into two pieces of equal masses. One of the pieces retraces its path to the cannon.The speed of the other piece immediately after the explosion is :A. `3V cos 0`B. `2V cos 0`C. `3/2Vcos 0`D. `V cos 0`
• A particle is projected with a velocity `200 m//s` at an angle of `60^(@).` At the highest point it explodes into three particle of equal masses. One goes vertically upward with a veloctiy `100m//s` the second particle goes vertically downwards at same speed. What is the velocity of the third particle?A. `200m//s` horizontallyB. `200m//s` with `30^(@)` angleC. `200m//s` horizontallyD. `300m//s` horizontally
• A block of mass 200 gm is suspended through a vertical spring. The spring is stretched by 1 cm when the block is in equilibrium. A particle of mass 120 gm is dropped on the block from a height of 45 cm. The particle sticks to the block after the impact. Find the maximum extension of the spring.
• Velocity of a particle of mass `2 kg` change from `vecv_(1) =-2hati-2hatjm/s` to `vecv_(2)=(hati-hatj)m//s` after colliding with as plane surface.A. the angle made by the plane surface with the positive x-axis is `90^(@) + "tan"^(-1)((1)/(3))`B. the angle made by the plane surface with the positive x-axis is `"tan"^(-1)((1)/(3))`C. the direction of change in momentum makes an angle `"tan"^(-1)((1)/(3))`with the `+ve` x-axisD. the direction of change in momentum makes an angle `90^(@) + "tan"^(-1) ((1)/(3))` with the plane surface