# Gravitational Potential Energy calculations

## Stage 1

Calculate the energy transferred to the gravitational potential store for the following:

1. A 80 kg cyclist cycles up a 10 m hill.

2. A ball thrown up 4 m with a mass of 0.9 kg.

3. A 13 kg object lifted 4.9 m.

4. A 19 kg mass is moved up 50 m.

5. A lift travels 15 m up with a mass of 2000 kg.

## Stage 2

6. Find the mass of a cyclist who after cycling up a 13 m hill has 11466 J in their gravitational potential energy store.

7. Find the height a 1.6 kg ball is thrown after gaining 62.72 J of energy in its gravitational potential store.

8. Find the height a lift moves up by which has 539000 J of energy in its gravitational potential store and a mass of 1000 kg.

9. Find the height a 110 kg cyclist climbs up, when they have 20482 J in their gravitational potential energy store.

10. Find the height a box is moved up by if it has 5390 J of energy in its gravitational potential store and a mass of 22 kg.

## Stage 3

11. Find the height a lift moves up by which has a mass of 1200000 g and has 529200 J in its gravitational potential energy store.

12. Find the mass of a ball with 93.1 J of energy in its gravitational potential store after being thrown 500 cm up.

13. Find the height of an object with 3800 g mass, which after being raised up has 502.74 J in its gravitational potential energy store.

14. Find the energy transferred to the gravitational potential store when a ball thrown with a mass of 1.9 kg travels up 10 m.

15. Find the mass of an object which has been lifted up 2.7 m and has gained 1.227744 kJ in its gravitational potential energy store.

1. 7840 J

2. 35.28 J

3. 624.26 J

4. 9310 J

5. 294000 J

6. 90 kg

7. 4 m

8. 55 m

9. 19 m

10. 25 m

11. 45 m

12. 1.9 kg

13. 13.5 m

14. 186.2 J

15. 46.4 kg