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 = 10 kggh = 11 m

A 10 kg ball is dropped from rest from a height of 11 m. Ignore air resistance. Find its kinetic energy Ek just before it hits the ground.

m = 10 kgh = 11 mg = 9.81 m/s²
Ek = J
2.Easy
m = 2.5 kggh = 36 m

A 2.5 kg ball is dropped from rest from a height of 36 m. Ignore air resistance. Find its speed v just before it hits the ground.

m = 2.5 kgh = 36 mg = 9.81 m/s²
v = m/s
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 8 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 = 8 cmg = 9.81 m/s²
h = m
4.Medium
40°d = 13 mμ = 0.25

A block slides from rest down a slope at 40° to the horizontal. The coefficient of kinetic friction is 0.25. Find its speed v after it has slid 13 m along the slope.

θ = 40°μ = 0.25d = 13 mg = 9.81 m/s²
v = m/s
5.Hard
h = 1 mL = 1.5 mμ = 0.1k = 4000 N/m

A 5 kg block is released from rest at height 1 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 1.5 m long (μ = 0.1) and then runs onto a spring (k = 4000 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 5 kgh = 1 mL = 1.5 mμ = 0.1k = 4000 N/mg = 9.81 m/s²
x = cm
6.Hard
h = 2 mL = 1.5 mμ = 0.3k = 5000 N/m

A 5 kg block is released from rest at height 2 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 1.5 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 = 5 kgh = 2 mL = 1.5 mμ = 0.3k = 5000 N/mg = 9.81 m/s²
x = cm

Answer key

  1. 1. Ek = 1079 J
  2. 2. v = 26.58 m/s
  3. 3. h = 0.6524 m
  4. 4. v = 10.73 m/s
  5. 5. x = 14.44 cm
  6. 6. x = 17.44 cm

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