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
5 kgv = 2 m/sk = 2000 N/m

A 5 kg block slides at 2 m/s on a smooth horizontal surface into a spring of stiffness 2000 N/m. Find the maximum compression x of the spring, in cm.

m = 5 kgv = 2 m/sk = 2000 N/m
x = cm
2.Easy
F = 190 N20°d = 15 m

A crate is pulled 15 m along a level floor by a rope that makes 20° with the horizontal. The tension in the rope is 190 N. Find the work W done by the rope on the crate.

F = 190 Nd = 15 mθ = 20°
W = J
3.Medium
30°d = 17 mμ = 0.4

A 0.5 kg block slides 17 m down a slope at 30° to the horizontal, with a coefficient of kinetic friction of 0.4. Find the work Wf done against friction.

m = 0.5 kgθ = 30°μ = 0.4d = 17 mg = 9.81 m/s²
Wf = J
4.Medium
25°d = 11 mμ = 0.3

A 2.5 kg block slides 11 m down a slope at 25° to the horizontal, with a coefficient of kinetic friction of 0.3. Find the work Wf done against friction.

m = 2.5 kgθ = 25°μ = 0.3d = 11 mg = 9.81 m/s²
Wf = J
5.Hard
h = 4.5 mL = 3 mμ = 0.1k = 4000 N/m

A 0.5 kg block is released from rest at height 4.5 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 3 m long (μ = 0.1) and then runs onto a spring (k = 4000 N/m) on a smooth surface. Find the speed v of the block when it reaches the spring.

m = 0.5 kgh = 4.5 mL = 3 mμ = 0.1k = 4000 N/mg = 9.81 m/s²
v = m/s
6.Hard
h = 15 mR = 5 mN = ?

A 0.5 kg cart is released from rest at a height of 15 m on a smooth track that leads into a vertical circular loop of radius 5 m. Find the normal force N the track exerts on the cart at the top of the loop.

m = 0.5 kgh = 15 mR = 5 mg = 9.81 m/s²
N = N

Answer key

  1. 1. x = 10 cm
  2. 2. W = 2678 J
  3. 3. Wf = 28.89 J
  4. 4. Wf = 73.35 J
  5. 5. v = 9.078 m/s
  6. 6. N = 4.905 N

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