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
m = 4 kggh = 46 m

A 4 kg ball is dropped from rest from a height of 46 m. Ignore air resistance. Find its speed v just before it hits the ground.

m = 4 kgh = 46 mg = 9.81 m/s²
v = m/s
2.Easy
F = 200 N45°d = 18 m

A crate is pulled 18 m along a level floor by a rope that makes 45° with the horizontal. The tension in the rope is 200 N. Find the work W done by the rope on the crate.

F = 200 Nd = 18 mθ = 45°
W = J
3.Medium
0.2 kgk = 400 N/mh = ?

A toy launcher has a vertical spring of stiffness 400 N/m. A 0.2 kg ball is placed on it and the spring is compressed by 10 cm, then released. Ignoring air resistance and the spring’s mass, find the height h the ball rises, measured from its position when the spring was compressed.

m = 0.2 kgk = 400 N/mx = 10 cmg = 9.81 m/s²
h = m
4.Medium
120 km/h

A car travelling at 120 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 0.8. Find the stopping distance d.

v = 120 km/hμ = 0.8g = 9.81 m/s²
d = m
5.Hard
F = 65 N20°μ = 0.35 kg

A 5 kg block starts from rest at the bottom of a 20° slope and is pulled up the slope by a constant force of 65 N parallel to the slope. The coefficient of kinetic friction is 0.3. Find the speed v of the block after it has moved 9 m up the slope.

m = 5 kgF = 65 Nθ = 20°μ = 0.3d = 9 mg = 9.81 m/s²
v = m/s
6.Hard
h = 3.5 mL = 5 mμ = 0.3k = 5000 N/m

A 4 kg block is released from rest at height 3.5 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 5 m long (μ = 0.3) and then runs onto a spring (k = 5000 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 4 kgh = 3.5 mL = 5 mμ = 0.3k = 5000 N/mg = 9.81 m/s²
x = cm

Answer key

  1. 1. v = 30.04 m/s
  2. 2. W = 2546 J
  3. 3. h = 1.019 m
  4. 4. d = 70.79 m
  5. 5. v = 11.13 m/s
  6. 6. x = 17.72 cm

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