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 = 1 kggh = 46 m

A 1 kg ball is dropped from rest from a height of 46 m. Ignore air resistance. Find its kinetic energy Ek just before it hits the ground.

m = 1 kgh = 46 mg = 9.81 m/s²
Ek = J
2.Easy
m = 0.5 kggh = 2 m

A 0.5 kg ball is dropped from rest from a height of 2 m. Ignore air resistance. Find its speed v just before it hits the ground.

m = 0.5 kgh = 2 mg = 9.81 m/s²
v = m/s
3.Medium
40°d = 11 mμ = 0.15

A block slides from rest down a slope at 40° to the horizontal. The coefficient of kinetic friction is 0.15. Find its speed v after it has slid 11 m along the slope.

θ = 40°μ = 0.15d = 11 mg = 9.81 m/s²
v = m/s
4.Medium
0.25 kgk = 1000 N/mh = ?

A toy launcher has a vertical spring of stiffness 1000 N/m. A 0.25 kg ball is placed on it and the spring is compressed by 5 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 = 0.25 kgk = 1000 N/mx = 5 cmg = 9.81 m/s²
h = m
5.Hard
F = 90 N15°μ = 0.310 kg

A 10 kg block starts from rest at the bottom of a 15° slope and is pulled up the slope by a constant force of 90 N parallel to the slope. The coefficient of kinetic friction is 0.3. Find the speed v of the block after it has moved 6 m up the slope.

m = 10 kgF = 90 Nθ = 15°μ = 0.3d = 6 mg = 9.81 m/s²
v = m/s
6.Hard
3 kg3 kgμ = 0.1d = 1.5 m

A 3 kg block rests on a rough horizontal table (μ = 0.1). 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 1.5 m.

m1 = 3 kgm2 = 3 kgμ = 0.1d = 1.5 mg = 9.81 m/s²
v = m/s

Answer key

  1. 1. Ek = 451.3 J
  2. 2. v = 6.264 m/s
  3. 3. v = 10.67 m/s
  4. 4. h = 0.5097 m
  5. 5. v = 6.589 m/s
  6. 6. v = 3.639 m/s

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