A 2 kg book is lifted onto a shelf 1.5 m high. Calculate the gain in GPE. ( N/kg)
Ep = mgh.
Worked solution
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GCSE & IGCSE physics practice
An object gains gravitational potential energy (GPE) when it's lifted: , with mass in kg, gravitational field strength in N/kg and height in m. On Earth take N/kg. The last questions link GPE to kinetic energy, a favourite exam combination.
15 questions · Foundation tier · Every answer is checked as you type it, with a full worked solution. Updated .
| GCSE (AQA) | Physics and Combined Science, Foundation and Higher. Recall Ep = mgh (on AQA's list of equations to learn). |
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| Cambridge IGCSE (0625) | Supplement (Extended): recall and use the equation for the change in gravitational potential energy, ΔEp = mgΔh. |
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A 2 kg book is lifted onto a shelf 1.5 m high. Calculate the gain in GPE. ( N/kg)
Ep = mgh.
Worked solution
A 60 kg climber climbs 200 m up a hill. Calculate their gain in GPE. ( N/kg)
Ep = mgh.
Worked solution
A 70 kg diver stands on a 10 m diving board. How much GPE does the diver have, measured from the water? ( N/kg)
Ep = mgh.
Worked solution
A crate has a weight of 400 N. It is lifted 2.5 m onto a lorry. Calculate its gain in GPE.
The weight is already mg, so GPE = weight × height.
Worked solution
A 0.5 kg ball gains 24.5 J of GPE when thrown upwards. How high does it rise? ( N/kg)
h = Ep ÷ (mg).
Worked solution
A crane gives a load 58 800 J of GPE by lifting it 20 m. What is the mass of the load? ( N/kg)
m = Ep ÷ (gh).
Worked solution
On the Moon, N/kg. How much GPE does an 80 kg astronaut gain climbing 5 m?
Use the Moon's value of g.
Worked solution
A 500 g apple falls 2 m from a tree. How much GPE does it lose? ( N/kg)
500 g = 0.5 kg.
Worked solution
A 1200 kg lift gains 352 800 J of GPE. How high does it rise? ( N/kg)
h = Ep ÷ (mg).
Worked solution
A 1.5 kg drone rises from 20 m to 50 m above the ground. Calculate its gain in GPE. ( N/kg)
Use the change in height, not the final height.
Worked solution
A box gains 147 J of GPE when it is lifted 3 m. What is its mass? ( N/kg)
m = Ep ÷ (gh).
Worked solution
A ball is dropped from 5 m. Ignoring air resistance, how fast is it moving just before it hits the ground? ( N/kg) Give your answer to 2 significant figures.
GPE lost = kinetic energy gained, so mgh = ½mv² and the mass cancels.
Worked solution
A 40 kg child slides from the top of a slide 3 m high and reaches the bottom at 6 m/s. How much energy was transferred to heat by friction? ( N/kg)
Compare the GPE at the top with the kinetic energy at the bottom.
Worked solution
A 0.2 kg ball is dropped from a height of 20 m. Ignoring air resistance, how fast is it moving just before it hits the ground? ( N/kg) Give your answer to 2 significant figures.
GPE lost = kinetic energy gained; the mass cancels.
Worked solution
A 50 kg skier starts at rest at the top of a slope 45 m high and reaches the bottom at 25 m/s. How much energy was transferred by friction and air resistance? ( N/kg)
Compare the GPE at the top with the kinetic energy at the bottom.
Worked solution
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