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Conservation Of Momentum (ht Only) (GCSE Physics)

The following is a GCSE Physics test covering 'Conservation Of Momentum (ht Only)' from the broader topic Forces. The test is geared towards the AQA exam board style syllabus.
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A stationary 2.0 kg trolley is hit from behind by a 0.50 kg toy car moving at 3.0 m/s. After the collision the car and trolley stick together. What is their common speed immediately after the collision?
An astronaut in space (no external forces) throws a 2 kg tool at 4 m/s relative to the spaceship and recoils at 0.1 m/s. What is the astronaut+spaceship mass?
A ball bouncing elastically off a wall reverses its velocity from 6 m/s to -6 m/s in 0.02 s. What average force acted on a 0.3 kg ball?
A bullet (0.01 kg, 500 m/s) passes through a block of 2 kg and emerges at 100 m/s. What speed does the block recoil at?
Two ice skaters initially at rest push off symmetrically and move at ±2.5 m/s. If left skater mass 60 kg, what is right skater mass?
A 1.0 kg ball strikes a 4.0 kg block initially at rest; after perfectly inelastic collision they move together at 0.6 m/s. What was ball speed before collision?
A projectile of mass 0.50 kg moving at 20 m/s lodges in a stationary wooden block of 4.5 kg. What fraction of initial kinetic energy is lost?
A perfectly elastic collision in one dimension conserves kinetic energy. For masses m and M (M>>m) with m moving, which is true after elastic collision?
A car of mass 1200 kg and speed 20 m/s hits a stationary truck of mass 2400 kg and they lock together. What is their speed after impact?
A ball of mass m strikes a fixed wall. If momentum change magnitude is ?p, impulse J = ?p. Which statement about average force Favg if collision time doubles?
Two ice skaters push off each other. Skater A of mass 50 kg moves at 1.2 m/s and Skater B moves the opposite way at 0.80 m/s. What is the ratio of their momenta magnitudes pA:pB?