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SITEMAP School Physics Notes: Forces & motion 6.4 Complex momentum calculations
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Forces and Newton's Laws of Motion 6.4 Worked out problem solving questions involving more complex momentum calculations for exam practice Doc Brown's Physics exam study revision notes This page contains online questions only. Jot down your answers and check them against the worked out answers at the end of the page 6.4 Problem solving questions involving more complex momentum calculations You must study Part 6.2 before attempting these questions Q1 The diagram below shows the sequence of events when a moving green ball collides with a stationary purple ball.
The green ball has a mass of 2.0 kg and is moving at 4.0 m/s prior to colliding with the stationary purple ball. After the collision both balls are moving in a forward direction. If the green ball is still moving forward at 1.5 m/s, calculate the velocity of the purple ball.
Q2(a) Why does a gun recoil (move backwards) when fired?
Q3 The diagram below shows the sequence of events when a moving car crashes into a stationary car and they combine together and move forward.
Q4 Imagine a 0.2 kg ball moving at 5 m/s colliding with a 0.3 kg ball moving at 2 m/s in the same direction.
Q5 Imagine a 0.2 kg ball moving at 5 m/s hitting a 0.3 kg ball moving at 2 m/s in the same direction.
Q6 Snooker players can hit the white ball 'dead centre' into a stationary red ball. The stationary red ball then flies off at the same velocity as the incoming white ball and the white ball is left in a stationary position where the red ball was.
Q7 Imagine a 1000 kg car travelling with a velocity of 10 m/s crashing head-on into a 500 kg car travelling in the opposite direction with a velocity of 15 m/s. Assume they 'crunch' together to form a single object - the 'wreck'!
Q8 A momentum question involving Newton's 3rd Law, conservation of momentum and conservation of kinetic energy.
Data reminder!
Keywords, phrases and learning objectives for elastic/inelastic collisions and momentum
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Worked out
ANSWERS
to the collision-momentum calculation questions - problem solving more
complex situations Q1 The diagram below shows the sequence of events when a moving green ball collides with a stationary purple ball.
The green ball has a mass of 2.0 kg and is moving at 4.0 m/s prior to colliding with the stationary purple ball. After the collision both balls are moving in a forward direction. If the green ball is still moving forward at 1.5 m/s, calculate the velocity of the purple ball.
Q2(a) Why does a gun recoil (move backwards) when fired?
Q3 The diagram below shows the sequence of events when a moving car crashes into a stationary car and they combine together and move forward.
Q4 Imagine a 0.2 kg ball moving at 5 m/s colliding with a 0.3 kg ball moving at 2 m/s in the same direction.
After the collision the 0.2 kg green ball stops moving and the 0.3 kg purple ball continues moving in the same direction. Calculate the final velocity of the of the 0.3 kg purple ball.
First sort out all the masses and velocities
total momentum of two of objects before collision = total moment of objects after collision
Then substitute everything in the equation, rearrange and deduce the answer (v_{4}).
Q5 Imagine a 0.2 kg ball moving at 5 m/s hitting a 0.3 kg ball moving at 2 m/s in the same direction.
After the collision both balls keep moving in the same direction, but with different velocities. If the 0.2 kg ball continues to move at a velocity of 1.5 m/s, calculate the final velocity of the 0.3 kg ball. This is an almost identical problem to Q2.4, except there is no zero momentum term.
So, sorting out all the masses and velocities
total momentum of two objects before collision = total moment of objects after collision
Then substitute everything in the equation, rearrange and deduce the answer (v_{4}).
Q6 Snooker players can hit the white ball 'dead centre' into a stationary red ball. The stationary red ball then flies off at the same velocity as the incoming white ball and the white ball is left in a stationary position where the red ball was.
Q7 Imagine a 1000 kg car travelling with a velocity of 10 m/s crashing head-on into a 500 kg car travelling in the opposite direction with a velocity of 15 m/s. Assume they 'crunch' together to form a single object - the 'wreck'!
Q8 A momentum question involving Newton's 3rd Law, conservation of momentum and conservation of kinetic energy.
Data reminder!
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