Edexcel Jan 2022 IAL Pure Maths WPH11/01

Edexcel Jan 2022 IAL Pure Maths WPH11/01 (pdf)

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1. A student walks for 6 seconds. The displacement-time graph for the student is shown.
2. Physical quantities may be vectors or scalars.
   Which row of the table is correct?
3. The velocity-time graph for a particle is shown.
   Which of the following is the displacement-time graph for this particle?
4. The diagram shows a student during a parachute jump on a windy day. The vertical component of her velocity is 5.0ms⁻¹. The horizontal component of her velocity is 8.0ms⁻¹. She descends at an angle θ to the vertical.
5. An object on the Moon falls a vertical distance of 0.32m, from rest, in a time of 0.63s. Which of the following expressions gives the acceleration due to gravity on the Moon in ms⁻²?
6. The graph shows how terminal velocity varies with mass for small spheres of equal diameter falling through a viscous liquid.
   Which of the following describes the gradient of the graph for a liquid of greater viscosity?

7. A person is pushing a trolley at a constant velocity.
   The floor exerts a force P on the person, the person exerts a force Q on the trolley.
   The trolley exerts a force R on the person and the total drag force on the trolley is S.
8. A wire breaks when a tensile force T is applied. A second wire, made of the same material, has twice the diameter.
   Which of the following is the force required to break the second wire?
9. A beam is balanced on two supports as shown
   The beam has a weight W and the reaction forces at the two supports are P and Q.
   Which of the following statements about the magnitudes of the forces is correct?
10. Which row of the table contains two units that are not equivalent?
11. A slow moving asteroid A was hit by a faster asteroid B. Asteroid B was absorbed by asteroid A as shown.
12. The diagram shows a lift system for moving people up and down a tall building. There is a counterweight to balance the weight of the lift. An electric motor is used to raise and lower the lift.
    (a) Explain how the counterweight affects the amount of work required from the electric motor to raise the lift
    (b) The electric motor raises the lift through a height of 40.0m in a time of 30.0 s.
    Show that the output power of the electric motor is about 12kW.
    total mass of lift and people = 2250kg
    mass of counterweight = 1 300kg
    (c) The electric motor dissipates energy to the surroundings at a rate of 3600W.
    Determine the efficiency of the electric motor.
13. The Tyrolean traverse is a technique for crossing a deep valley. The photograph shows a climber crossing a river using this technique. The climber moves along a rope suspended from the bank on either side of the river.
    (a) The free-body force diagram for the climber is shown below. The weight of the climber is 650N.
14. A student of weight 600N is standing on weighing scales in a lift. The scales are calibrated to give readings in newtons.
    The lift moves upwards at constant velocity, then decelerates to rest. As the lift moves, the student looks at the readings on the scales.
    Explain the readings on the scales.
15. A hollow brass cylinder with closed ends is floating on the surface of water.
    The cylinder has a length of 4.0cm and an external diameter of 2.1 cm as shown.
    63% of the volume of the cylinder is submerged. The cylinder contains negligible weight of air.
    (a) Explain why the brass cylinder floats.
16. The photograph shows a toy pinball machine. The launcher is pulled back, compressing a spring. The spring obeys Hooke’s law. When the launcher is released, the spring returns to its original length and a small ball is launched horizontally into the machine.
17. A small sphere is moving horizontally through a viscous liquid.
    (a) Stokes' law can be used to calculate the drag force on an object.
    State the conditions that must apply for Stokes' law to be valid.18. A stunt motorcyclist wants to jump across a river to land on the other side. The diagram shows the motorcyclist driving off a ramp at the edge of a river.
18. A stunt motorcyclist wants to jump across a river to land on the other side. The diagram shows the motorcyclist driving off a ramp at the edge of a river.

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