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 4 kg ball is dropped from rest from a height of 17 m. Ignore air resistance. Find its speed v just before it hits the ground.

m = 4 kgh = 17 mg = 9.81 m/s²

v = m/s

2.Easy

A 5 kg ball is dropped from rest from a height of 32 m. Ignore air resistance. Find its speed v just before it hits the ground.

m = 5 kgh = 32 mg = 9.81 m/s²

v = m/s

3.Medium

A 1000 kg car drives up a 6° slope at a constant 54 km/h. Air resistance and rolling resistance together amount to 800 N. Find the power P the wheels must deliver, in kW.

m = 1000 kgθ = 6°F_r = 800 Nv = 54 km/hg = 9.81 m/s²

P = kW

4.Medium

A 2 kg block slides 11 m down a slope at 45° to the horizontal, with a coefficient of kinetic friction of 0.3. Find the work W_f done against friction.

m = 2 kgθ = 45°μ = 0.3d = 11 mg = 9.81 m/s²

W_f = J

5.Hard

A 1 kg cart is released from rest at a height of 18 m on a smooth track that leads into a vertical circular loop of radius 4 m. Find the normal force N the track exerts on the cart at the top of the loop.

m = 1 kgh = 18 mR = 4 mg = 9.81 m/s²

N = N

6.Hard

A 10 kg cart is released from rest at a height of 3.2 m on a smooth track that leads into a vertical circular loop of radius 1 m. Find the normal force N the track exerts on the cart at the top of the loop.

m = 10 kgh = 3.2 mR = 1 mg = 9.81 m/s²

N = N

Answer key

1. v = 18.26 m/s
2. v = 25.06 m/s
3. P = 27.38 kW
4. W_f = 45.78 J
5. N = 39.24 N
6. N = 137.3 N

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