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
150 kgh = 17 mt = 10 s

A hoist lifts a 150 kg load at constant speed through a height of 17 m in 10 s. Find the average power P it delivers to the load, in kW.

m = 150 kgh = 17 mt = 10 sg = 9.81 m/s²
P = kW
2.Easy
5 kgv = 4 m/sk = 800 N/m

A 5 kg block slides at 4 m/s on a smooth horizontal surface into a spring of stiffness 800 N/m. Find the maximum compression x of the spring, in cm.

m = 5 kgv = 4 m/sk = 800 N/m
x = cm
3.Medium
0.2 kgk = 1000 N/mh = ?

A toy launcher has a vertical spring of stiffness 1000 N/m. A 0.2 kg ball is placed on it and the spring is compressed by 4 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 = 1000 N/mx = 4 cmg = 9.81 m/s²
h = m
4.Medium
45°d = 10 mμ = 0.25

A 10 kg block slides 10 m down a slope at 45° to the horizontal, with a coefficient of kinetic friction of 0.25. Find the work Wf done against friction.

m = 10 kgθ = 45°μ = 0.25d = 10 mg = 9.81 m/s²
Wf = J
5.Hard
h = 2 mL = 3.5 mμ = 0.3k = 800 N/m

A 2.5 kg block is released from rest at height 2 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 3.5 m long (μ = 0.3) and then runs onto a spring (k = 800 N/m) on a smooth surface. Find the speed v of the block when it reaches the spring.

m = 2.5 kgh = 2 mL = 3.5 mμ = 0.3k = 800 N/mg = 9.81 m/s²
v = m/s
6.Hard
h = 10.4 mR = 4 mv = ?

A 5 kg cart is released from rest at a height of 10.4 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 = 5 kgh = 10.4 mR = 4 mg = 9.81 m/s²
v = m/s

Answer key

  1. 1. P = 2.502 kW
  2. 2. x = 31.62 cm
  3. 3. h = 0.4077 m
  4. 4. Wf = 173.4 J
  5. 5. v = 4.317 m/s
  6. 6. v = 6.862 m/s

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