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
200 kgh = 22 mt = 60 s

A hoist lifts a 200 kg load at constant speed through a height of 22 m in 60 s. Find the average power P it delivers to the load, in W.

m = 200 kgh = 22 mt = 60 sg = 9.81 m/s²
P = W
2.Easy
2.5 kgv = 3 m/sk = 1000 N/m

A 2.5 kg block slides at 3 m/s on a smooth horizontal surface into a spring of stiffness 1000 N/m. Find the maximum compression x of the spring, in cm.

m = 2.5 kgv = 3 m/sk = 1000 N/m
x = cm
3.Medium
30°d = 16 mμ = 0.4

A block slides from rest down a slope at 30° to the horizontal. The coefficient of kinetic friction is 0.4. Find its speed v after it has slid 16 m along the slope.

θ = 30°μ = 0.4d = 16 mg = 9.81 m/s²
v = m/s
4.Medium
54 km/h6°1500 kg

A 1500 kg car drives up a 6° slope at a constant 54 km/h. Air resistance and rolling resistance together amount to 500 N. Find the power P the wheels must deliver, in kW.

m = 1500 kgθ = 6°Fr = 500 Nv = 54 km/hg = 9.81 m/s²
P = kW
5.Hard
k = 1000 N/m15°μ = 0.25 kg

A spring of stiffness 1000 N/m at the bottom of a 15° slope is compressed by 12 cm against a 5 kg block and released. The coefficient of kinetic friction between block and slope is 0.2. How far d up the slope does the block travel from the release point before it stops? (Ignore the short distance over which the spring pushes, i.e. take friction and gravity over the whole distance d.)

m = 5 kgk = 1000 N/mx = 12 cmθ = 15°μ = 0.2g = 9.81 m/s²
d = m
6.Hard
10 kg3 kgμ = 0.25d = 2 m

A 10 kg block rests on a rough horizontal table (μ = 0.25). A light string runs from it over a smooth pulley at the edge of the table to a hanging 3 kg block. The system is released from rest. Find the speed v of the blocks after the hanging block has dropped 2 m.

m1 = 10 kgm2 = 3 kgμ = 0.25d = 2 mg = 9.81 m/s²
v = m/s

Answer key

  1. 1. P = 719.4 W
  2. 2. x = 15 cm
  3. 3. v = 6.944 m/s
  4. 4. P = 30.57 kW
  5. 5. d = 0.3248 m
  6. 6. v = 1.229 m/s

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