Weight & Gravitational acceleration
In all of the questions below you
should assume that on the Earth’s surface a mass of 1 kg weighs 10 N.
That is the gravitational field
strength is 10 N / kg.
1. Calculate
the weight of a boy of mass 80 kg.
2. Calculate
the weight of a girl of mass 110 kg.
3. Calculate
the weight of a apple of mass 100 g.
4. Calculate
the weight of a car of mass 1300 kg.
5. Calculate
the weight of a feather of mass 0.1 g.
6. What is the
mass of a boy of weight 600 N?
7. What is the
mass of a girl of weight 480 N?
8. What is the
mass of an orange of weight 2 N?
9. What is the
mass of a car of weight 11 k N?
10. What is the
mass of a piece of paper of weight 0.02 N?
For questions 11 to 20:
Repeat the above questions but this time for when the
various bodies on the surface of the Moon where gravity is 1/6
th the strength of that on the Earth’s surface.
That is a mass of 1 kg would now weigh 1.7 N
That is the gravitational field
strength is 1.7 N / kg.
For the questions below you are on the Earth’s surface
again. Assume there is no air resistance.
21. Calculate
the downward acceleration of a boy of mass 50 kg jumping off a wall.
22. Calculate
the downward acceleration of a girl of mass 70 kg jumping off a wall.
23. Calculate
the downward acceleration of a stone of mass 400 g being dropped off a wall.
24. Calculate
the downward acceleration of a feather of mass 0.05 g being dropped off a wall.
25. Calculate
the downward acceleration of a elephant of mass 2000 kg falling off a wall.
For questions 26 to 30:
Repeat the above (questions 21 to 25) this time for the
surface of the Moon.
31. If in questions 21 to 25 air resistance was present, which of
your answers would be significantly different?
32. Why would you not need to worry about air resistance with
questions 26 to 30?
Equations to use:
weight = mass x gravitational field strength
acceleration = force / mass
Force = mass x
acceleration
1. Calculate
the force needed to accelerate a car of mass 1000 kg by 3 m/s2.
2. Calculate
the force needed to accelerate a bicycle of mass 20 kg by 4 m/s2.
3. Calculate
the force needed to accelerate a car of mass 1500 kg by 5 m/s2.
4. Calculate
the force needed to accelerate a bus of mass 4000 kg by 2 m/s2.
5. Calculate
the force needed to accelerate a train of mass 20 000 kg by 0.5 m/s2.
6. Calculate
the force needed to accelerate a toy car of mass 100 g by 6 m/s2.
7. Calculate
the force needed to accelerate a ball of mass 200 g by 15 m/s2.
8. Calculate
the force needed to accelerate a bat of mass 500 g by 4 m/s2.
9. Calculate
the force needed to accelerate a bee of mass 2 g by 20 m/s2.
10. Calculate
the force needed to accelerate a flee of mass 0.005 g by 30 m/s2.
11. Calculate
the acceleration of a car of mass 1000 kg when driven by a force of 20 000 N.
12. Calculate
the acceleration of a bus of mass 5000 kg when driven by a force of 30 000 N.
13. Calculate the
acceleration of a ball of mass 0.3 kg when driven by a force of 21 N.
14. Calculate
the acceleration of a train of mass 30 000 kg when driven by a force of 15 000 N.
15. Calculate
the acceleration of a toy car of mass 50 g when driven by a force of 4 N.
16. Calculate
the mass of a car if a force of 15000 N causes it to accelerate by 5 m/s2.
17. Calculate
the mass of a bus if a force of 20000 N causes it to accelerate by 4 m/s2.
18. Calculate
the mass of a ball if a force of 50 N
causes it to accelerate by 100 m/s2.
19. Calculate
the mass of a toy car if a force of 2 N causes it to accelerate by 10 m/s2.
20. Calculate
the mass of a car if a force of 15 kN causes it to accelerate by 10 m/s2.
21. Calculate
the force needed to accelerate a train of mass 60 000 kg by 0.25 m/s2.
22. Calculate
the acceleration of a car of mass 800 kg when driven by a force of 24 k N.
23. Calculate
the mass of a car if a force of 30 k N causes it to accelerate by 2 m/s2.
24. Calculate
the force needed to accelerate a ball of mass 150 g by 12 m/s2.
25. Calculate
the acceleration of a toy car of mass 40 g when driven by a force of 0.8 N.
26. Calculate
the force required to accelerate a car of mass 1000 kg from rest to 12 m/s in 3
seconds.
27. Calculate
the force required to decelerate a car of mass 1500 kg from 20 m/s to rest in 4
seconds.
28. A car of
mass 2000 kg is driven by a force of 40 kN for 5 seconds; how much does its
speed change?
29. If a bus
accelerates from 10 m/s to 15 m/s in 10 seconds with a force of 3 kN what is
its mass?
30. What force
is exerted on a ball of mass 100g if it accelerates from rest to 30 m/s in 3
seconds?
Equations to use:
force = mass x acceleration
acceleration = force / mass
mass = force / acceleration
acceleration = change in velocity / time taken
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