A space shuttle of mass M, moving at 4000 kph relative to earth ejects a capsule backward of mass M/5. if speed of ejection of capsule is 120 kph relative to state of shuttle before ejection, find the final velocity of the shuttle.

A space shuttle while travelling at a speed of 4000 km/h with respect to the earth disconnects and ejects a module backward, weighing one sixth of the resudual part. If the shuttle ejects the disconnected module at a speed of 100 km/h with respect to the state of the shuttle before the ejection, find the final velocity of the shuttle.

A boy of mass m is riding on a trolley of mass M which is moving on smooth floor at speed v_(0) . He jumps off in the opposite direction of motion of trolley with velocity u relative to the trolley before the jump. Find the velocity of the trolley after jump.

A 6090 kg space probe moving nose-first toward Jupiter at 120 m/s relative to the Sun fires its rocket engine, ejecting 70.0 kg of exhaust at a speed of 253 m/s relative to the space probe. What is the final velocity of the probe?

A space vehicle is traveling at 4800 km/h relative to Earth when the exhausted rocket motor (mass 4m) is disengaged and sent backward. The relative speed between motor and command module (mass m) is then 82 km/h. What is the speed of the command module relative to Earth just after the separation ?

Two astronauts, each of mass 75kg are floating next to each other in space, outside the space shuttle one of them pushes the other through a distance of 1m (an arms length) with a force of 300N. What is the final relative velocity of the two ?

A bullet of mass 'm' moving with velocity 'u' passes through a wooden block of mass M = nm as shown in figure. The block is resting on a smooth horizontal floor. After passing through the block, velocity relative to the block is .

A flat car of mass M with a child of mass m is moving with a velocity v_(1) . The child jumps in the direction of motion of car with a velocity u with respect to the car. Find the final velocities of the child and that of the car after jump.

A particle of mass m moving with speed v in position x - direction collides perfectly inelastically with another identical particle moving with same speed in positive y - direction . Find final velocity of the combination.

A satellite of mass m is launched vertically upwards with an initial speed sqrt((GM)/®) from the surface of the earth. After it reaches height R (R = radius of the earth), it ejects a rocket of mass m/10 in a direction opposite to the initial direction of the satellite, so that subsequently the satellite escapes to infinity. The minimum kinetic energy of the rocket at ejection needed is (G is the gravitational constant, M is the mass of the earth):

A small bead of mass m moving with velocity v gets threaded on a stationary semicircular ring of mass m and radius R kept on a horizontal table. The ring can freely rotate about its centre. The bead comes to rest relative to the ring. What will be the final angular velocity of the system?