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 = 5 kggh = 28 m

A 5 kg ball is dropped from rest from a height of 28 m. Ignore air resistance. Find its kinetic energy Ek just before it hits the ground.

m = 5 kgh = 28 mg = 9.81 m/s²
Ek = J
2.Easy
m = 2 kggh = 47 m

A 2 kg ball is dropped from rest from a height of 47 m. Ignore air resistance. Find its kinetic energy Ek just before it hits the ground.

m = 2 kgh = 47 mg = 9.81 m/s²
Ek = J
3.Medium
0.15 kgk = 2000 N/mh = ?

A toy launcher has a vertical spring of stiffness 2000 N/m. A 0.15 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 = 0.15 kgk = 2000 N/mx = 8 cmg = 9.81 m/s²
h = m
4.Medium
0.25 kgk = 800 N/mh = ?

A toy launcher has a vertical spring of stiffness 800 N/m. A 0.25 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 = 0.25 kgk = 800 N/mx = 10 cmg = 9.81 m/s²
h = m
5.Hard
h = 1.5 mL = 4.5 mμ = 0.2k = 2000 N/m

A 1 kg block is released from rest at height 1.5 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 4.5 m long (μ = 0.2) and then runs onto a spring (k = 2000 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 1 kgh = 1.5 mL = 4.5 mμ = 0.2k = 2000 N/mg = 9.81 m/s²
x = cm
6.Hard
h = 3.5 mL = 2.5 mμ = 0.1k = 1500 N/m

A 2 kg block is released from rest at height 3.5 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 2.5 m long (μ = 0.1) and then runs onto a spring (k = 1500 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 2 kgh = 3.5 mL = 2.5 mμ = 0.1k = 1500 N/mg = 9.81 m/s²
x = cm

Answer key

  1. 1. Ek = 1373 J
  2. 2. Ek = 922.1 J
  3. 3. h = 4.349 m
  4. 4. h = 1.631 m
  5. 5. x = 7.672 cm
  6. 6. x = 29.16 cm

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