1
1 The diagram shows a cliff edge with water below it.
A ball falls over the edge of the cliff. The mass of the ball is 160 g. The height of the cliff is 115 m.
(a) Calculate the vertical speed of the ball as it hits the water. Air resistance can be ignored.
speed = .............................................. [3]
(b) Calculate the vertical momentum of the ball as it hits the water.
momentum = .............................................. [2]
[Total: 5]
5
2 An aeroplane of mass 2.5 × 10 kg lands with a speed of 62 m / s, on a horizontal runway
at time t = 0. The aeroplane decelerates uniformly as it travels along the runway in a straight line
until it reaches a speed of 6.0 m / s at t = 35 s.
, 2
(a) Calculate the deceleration of the aeroplane in the 35 s after it lands.
deceleration = .............................................. [2]
(b) Calculate the resultant force acting on the aeroplane as it decelerates.
force = .............................................. [2]
(c) Calculate the momentum of the aeroplane when its speed is 6.0 m / s.
momentum = .............................................. [2]
[Total: 6]
3 The diagram shows an athlete crossing the finishing line in a race. As she crosses the finishing
line, her speed is 10.0 m / s. She slows down to a speed of 4.0 m / s.
(a) The mass of the athlete is 71 kg. Calculate the impulse applied to her as she slows down.
impulse = .............................................. [3]
1 The diagram shows a cliff edge with water below it.
A ball falls over the edge of the cliff. The mass of the ball is 160 g. The height of the cliff is 115 m.
(a) Calculate the vertical speed of the ball as it hits the water. Air resistance can be ignored.
speed = .............................................. [3]
(b) Calculate the vertical momentum of the ball as it hits the water.
momentum = .............................................. [2]
[Total: 5]
5
2 An aeroplane of mass 2.5 × 10 kg lands with a speed of 62 m / s, on a horizontal runway
at time t = 0. The aeroplane decelerates uniformly as it travels along the runway in a straight line
until it reaches a speed of 6.0 m / s at t = 35 s.
, 2
(a) Calculate the deceleration of the aeroplane in the 35 s after it lands.
deceleration = .............................................. [2]
(b) Calculate the resultant force acting on the aeroplane as it decelerates.
force = .............................................. [2]
(c) Calculate the momentum of the aeroplane when its speed is 6.0 m / s.
momentum = .............................................. [2]
[Total: 6]
3 The diagram shows an athlete crossing the finishing line in a race. As she crosses the finishing
line, her speed is 10.0 m / s. She slows down to a speed of 4.0 m / s.
(a) The mass of the athlete is 71 kg. Calculate the impulse applied to her as she slows down.
impulse = .............................................. [3]
