6 exam-style questions with full mark schemes and model answers. Write your own answer and the AI examiner marks it against the mark scheme.
A skydiver jumps from a high aircraft. After leaving the aircraft she speeds up, then reaches a steady (constant) speed called the terminal velocity. Later she opens her parachute, slows down, and reaches a new, lower terminal velocity before landing.
Explain, in terms of the forces acting on her (her weight and air resistance), how her motion changes from the moment she jumps until she reaches the first terminal velocity, and why opening the parachute produces a new, lower terminal velocity. (6 marks)
A car of mass 1200 kg accelerates along a straight, level road. The resultant force on the car is 3600 N.
(a) Calculate the acceleration of the car. Use F=ma. Show your working and give the unit. (3 marks)
(b) The driver then keeps the car moving at a steady speed in a straight line. State the size of the resultant force on the car now, and give a reason. (1 mark)
A cyclist travelling in a straight line accelerates uniformly from a velocity of 4 m/s to a velocity of 10 m/s over a distance of 21 m.
Calculate the acceleration of the cyclist. Use v2=u2+2as. Show your working and give the unit. (3 marks)
A spring hangs vertically from a stand. When a force of 6.0 N is applied to the spring, it extends by 0.15 m. The spring obeys Hooke's law and is not stretched beyond its limit of proportionality.
(a) Calculate the spring constant of the spring. Use F=ke. Show your working and give the unit. (2 marks)
(b) State what is meant by the limit of proportionality. (1 mark)
A trolley of mass 2.0 kg moves in a straight line at a velocity of 3.0 m/s.
Calculate the momentum of the trolley. Use p=mv. Show your working and give the unit. (2 marks)
On the surface of the Earth the gravitational field strength is about 10 N/kg. An astronaut's toolbox has a mass of 5.0 kg.
Calculate the weight of the toolbox on Earth. Use W=mg. Show your working and give the unit. (1 mark)