Work & energy worksheet with answers

Free printable Work & energy worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy

A 2 kg ball is dropped from rest from a height of 10 m. Ignore air resistance. Find its kinetic energy E_k just before it hits the ground.

m = 2 kgh = 10 mg = 9.81 m/s²

E_k = J

2.Easy

A 5 kg ball is dropped from rest from a height of 28 m. Ignore air resistance. Find its speed v just before it hits the ground.

m = 5 kgh = 28 mg = 9.81 m/s²

v = m/s

3.Medium

A car travelling at 100 km/h on a level road brakes hard and skids to a stop with its wheels locked. The coefficient of kinetic friction between the tyres and the road is 0.6. Find the stopping distance d.

v = 100 km/hμ = 0.6g = 9.81 m/s²

d = m

4.Medium

A 1 kg ball hangs on a light string of length 0.8 m. It is pulled aside until the string makes 40° with the vertical and released from rest. Find the tension T in the string when the ball passes the lowest point.

m = 1 kgL = 0.8 mθ = 40°g = 9.81 m/s²

T = N

5.Hard

A 5 kg cart is released from rest at a height of 3.9 m on a smooth track that leads into a vertical circular loop of radius 1.5 m. Find the normal force N the track exerts on the cart at the top of the loop.

m = 5 kgh = 3.9 mR = 1.5 mg = 9.81 m/s²

N = N

6.Hard

A 10 kg cart is released from rest at a height of 14 m on a smooth track that leads into a vertical circular loop of radius 4 m. Find the speed v of the cart at the top of the loop.

m = 10 kgh = 14 mR = 4 mg = 9.81 m/s²

v = m/s

Answer key

1. E_k = 196.2 J
2. v = 23.44 m/s
3. d = 65.55 m
4. T = 14.4 N
5. N = 9.81 N
6. v = 10.85 m/s

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