Part 1
Five balls are placed one after the other along a straight line as shown in the figure. Initially, all the balls are at rest. Then the second ball has been projected with speed v0 towards the third ball. Mark the correct statements, (Assume all collisions to be head-on and elastic.)
29
Oct
Five balls are placed one after the other along a straight line as shown in the figure. Initially, all the balls are at rest. Then the second ball has been projected with speed v0 towards the third ball. Mark the correct statements, (Assume all collisions to be head-on and elastic.) (Assume all collisions to be [...]
Three balls A,B and C of masses 2kg, 4kg and 8kg, respectively, move along the same straight line and in the same direction, with velocities 4m/s, 1m/s, 3/4m/s. If A collides with B and subsequently B collides with C, find the velocity of ball A and ball B after collision, taking the coefficient of restitution as unity.
29
Oct
Three balls A,B and C of masses 2kg, 4kg and 8kg, respectively, move along the same straight line and in the same direction, with velocities 4m/s, 1m/s, 3/4m/s. If A collides with B and subsequently B collides with C, find the velocity of ball A and ball B after collision, taking the coefficient of restitution [...]
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1m/s ,
3/4m/s. If A collides with B and subsequently B collides with C ,
4kg and 8kg ,
B and C of masses 2kg ,
find the velocity of ball A and ball B after collision ,
move along the same straight line and in the same direction ,
respectively ,
taking the coefficient of restitution as unity. ,
Three balls A ,
with velocities 4m/s ,
Two identical balls of equal masses A and B are lying on a smooth surface as shown in figure. Ball A hits the ball B (which is at rest) with a velocity v= 16 m/s. What should be the minimum value of coefficient of restitution between A and B so that B just reaches the highest point of inclined plane : (g=10m/s^2 )
29
Oct
Two identical balls of equal masses A and B are lying on a smooth surface as shown in figure. Ball A hits the ball B (which is at rest) with a velocity v= 16 m/s. What should be the minimum value of coefficient of restitution between A and B so that B just reaches the [...]
A ball of mass 1kg is attached to an inextensible string. The ball is released from the position shown in figure. The impulse imparted by the string to the ball immediately after the string becomes taut. (Take g=10m/s^2)
29
Oct
A ball of mass 1kg is attached to an inextensible string. The ball is released from the position shown in figure. The impulse imparted by the string to the ball immediately after the string becomes taut. (Take g=10m/s^2) Two particles of same mass m moving with velocities u1 and u2 collide perfectly inelastically. The loss [...]
A particle of mass m moving with a velocity u makes an elastic one-dimensional collision with a stationary particle of mass m establishing a contact with it for extremely small time. T. Their force of contact increases from zero to F0 linearly in time T/4, remains constant for a further time T/2 and decreases linearly from F0 to zero in further time T/4 as shown. The magnitude possessed by F0 is.
29
Oct
A particle of mass m moving with a velocity u makes an elastic one-dimensional collision with a stationary particle of mass m establishing a contact with it for extremely small time. T. Their force of contact increases from zero to F0 linearly in time T/4, remains constant for a further time T/2 and decreases linearly [...]
A ball of mass ‘m’ moving with speed ‘u’ undergoes a head-on elastic collision with a ball of mass ‘nm’ initially at rest. The fraction of the incident energy transferred to the heavier ball is.
29
Oct
A ball of mass ‘m’ moving with speed ‘u’ undergoes a head-on elastic collision with a ball of mass ‘nm’ initially at rest. The fraction of the incident energy transferred to the heavier ball is. A ball of mass 'm' moving with speed 'u' undergoes a head-on elastic collision with a ball of mass 'nm' [...]
A ball moving with a velocity of 6 m/s strikes an identical stationary ball. After collision each ball moves at an angle of 30^o with the original line of motion. Assuming that the collision is elastic, What are the speeds of the balls after the collision?
29
Oct
A ball moving with a velocity of 6 m/s strikes an identical stationary ball. After collision each ball moves at an angle of 30^o with the original line of motion. Assuming that the collision is elastic, What are the speeds of the balls after the collision? Two particles of same mass m moving with velocities [...]
A particle strikes a horizontal frictionless floor with a speed u at an angle θ with the vertical, and rebounds with a speed v at an angle ϕ with vertical. The coefficient of restitution between the particle and floor is e. The magnitude of v is
29
Oct
A particle strikes a horizontal frictionless floor with a speed u at an angle θ with the vertical, and rebounds with a speed v at an angle ϕ with vertical. The coefficient of restitution between the particle and floor is e. The magnitude of v is A particle strikes a horizontal frictionless floor with a [...]
A body of mass 1 kg strikes elastically with another body at rest and continues to move in the same direction with one fourth of its initial velocity. The mass of the other body is
29
Oct
A body of mass 1 kg strikes elastically with another body at rest and continues to move in the same direction with one fourth of its initial velocity. The mass of the other body is A body of mass 1 kg strikes elastically with another body at rest and continues to move in the same [...]
A bullet of mass m travelling with a speed v hits a block of mass M initially at rest and gets embedded in it. The combined system is free to move and there is no other force acting on the system. The heat generated in the process will be
29
Oct
A bullet of mass m travelling with a speed v hits a block of mass M initially at rest and gets embedded in it. The combined system is free to move and there is no other force acting on the system. The heat generated in the process will be A sphere of mass m moving [...]