Further MechanicsEdexcel International A Level Physics: Topic test

20 questions, 54 marks

Edexcel International A Level Physics

Further Mechanics topic test

Total 54 marks

Name

Class

Date

1
A cricket ball of mass 0.16 kg is travelling horizontally at 30 m s⁻¹ towards a batter. The batter hits it straight back along the same line at 40 m s⁻¹. The ball is in contact with the bat for 4.0 ms.
(a)
What is the magnitude of the change in momentum of the ball?
[1 mark]
A1.6 kg m s⁻¹
B11 kg m s⁻¹
C4.8 kg m s⁻¹
D6.4 kg m s⁻¹
(b)
What is the magnitude of the average force exerted by the bat on the ball?
[1 mark]
A1.6 × 10³ N
B1.2 × 10³ N
C2.8 N
D2.8 × 10³ N
(c)
A fielder catches a ball of this kind by drawing the hands backwards as the ball arrives. Explain why this reduces the force on the hands.
[2 marks]
Total for question 1: 4 marks
2
A cue ball of mass 0.17 kg travelling at 2.0 m s⁻¹ strikes an identical stationary ball on a smooth, level table. After the collision the cue ball moves off at 1.2 m s⁻¹ at 53° to its original direction, and the second ball moves off at 37° to the original direction on the other side of the line of the original motion.
(a)
What is the component of the momentum of the cue ball, after the collision, in the direction of its original motion?
[1 mark]
A0.12 kg m s⁻¹
B0.16 kg m s⁻¹
C0.20 kg m s⁻¹
D0.34 kg m s⁻¹
(b)
What is the speed of the second ball after the collision?
[1 mark]
A0.80 m s⁻¹
B1.2 m s⁻¹
C1.6 m s⁻¹
D2.0 m s⁻¹
(c)
The second ball leaves at 1.6 m s⁻¹. Show by calculation whether the collision is elastic.
[2 marks]
Total for question 2: 4 marks
3
A communications satellite of mass 1.8 × 10³ kg is in a circular geostationary orbit of radius 4.22 × 10⁷ m about the centre of the Earth. Its period of orbit is 8.62 × 10⁴ s.
(a)
Calculate the angular velocity of the satellite and its orbital speed.
[3 marks]
(b)
Calculate the centripetal force acting on the satellite. State what provides this force and explain why it does not change the speed of the satellite.
[4 marks]
Total for question 3: 7 marks
4
A toy car of mass 0.30 kg moves at constant speed round a circular track of radius 0.60 m, completing one revolution every 2.0 s.
(a)
Determine the centripetal force on the car and the magnitude of the average resultant force on the car during one half of a revolution.
[6 marks]
(b)
A student says that the average force over half a revolution must equal the centripetal force, and concludes that one of the two calculated values must be wrong. Evaluate the student's conclusion.
[6 marks]
Total for question 4: 12 marks
5
A record-player turntable rotates at a constant 33⅓ revolutions per minute.
(a)
What is the angular velocity of the turntable?
[1 mark]
A0.56 rad s⁻¹
B33 rad s⁻¹
C3.5 rad s⁻¹
D210 rad s⁻¹
(b)
What is the speed of a point on the record that is 0.12 m from the centre of the turntable?
[1 mark]
A0.42 m s⁻¹
B0.067 m s⁻¹
C4.0 m s⁻¹
D25 m s⁻¹
(c)
A coin of mass 5.0 g rests on the record at a distance of 0.12 m from the centre and turns with it. Calculate the resultant horizontal force on the coin.
[2 marks]
Total for question 5: 4 marks
6
A trolley of mass 0.40 kg moves at 1.5 m s⁻¹ along a straight, level, frictionless track towards a spring buffer. While the trolley is in contact with the buffer, the force on it rises uniformly from zero to a maximum of 12 N in 0.10 s and then falls uniformly to zero in a further 0.10 s.
(a)
What is the magnitude of the impulse given to the trolley by the buffer?
[1 mark]
A2.4 N s
B0.60 N s
C3.0 N s
D1.2 N s
(b)
What is the speed of the trolley immediately after it leaves the buffer?
[1 mark]
A0 m s⁻¹
B1.5 m s⁻¹
C3.0 m s⁻¹
D4.5 m s⁻¹
(c)
State whether the collision between the trolley and the buffer is elastic. Justify your answer.
[2 marks]
Total for question 6: 4 marks
7
A stationary radioactive nucleus of mass 1.0 × 10⁻²⁵ kg decays by emitting an electron and a neutrino. The electron is emitted with momentum 2.4 × 10⁻²² kg m s⁻¹. The neutrino is emitted at 90° to the electron with momentum 1.8 × 10⁻²² kg m s⁻¹. Take the mass of the nucleus to be unchanged by the decay.
(a)
Determine the magnitude of the momentum of the recoiling nucleus and its direction relative to the path of the electron.
[3 marks]
(b)
Show that the kinetic energy of a non-relativistic particle is p²/2m, where p is its momentum and m is its mass. Hence calculate the kinetic energy of the recoiling nucleus in eV.
[4 marks]
Total for question 7: 7 marks
8
An ice hockey puck of mass 0.17 kg is travelling at 30 m s⁻¹ when a player's stick strikes it, the contact lasting 5.0 ms. After the strike the puck moves at 40 m s⁻¹ in a direction at 90° to its original direction. The puck then slides at constant speed until it collides with a second, identical puck that is at rest on the ice.
(a)
Determine the magnitude of the impulse given to the puck by the stick, the average force exerted by the stick, and the direction of that force relative to the original direction of the puck.
[6 marks]
(b)
After the collision with the second puck the two pucks move off at 45° on either side of the line of the original motion of the first puck, with equal speeds. Determine whether the collision is elastic.
[6 marks]
Total for question 8: 12 marks

End of questions

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).