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 = 2 kggh = 8 m

A 2 kg ball is dropped from rest from a height of 8 m. Ignore air resistance. Find its kinetic energy Ek just before it hits the ground.

m = 2 kgh = 8 mg = 9.81 m/s²
Ek = J
2.Easy
m = 1 kggh = 50 m

A 1 kg ball is dropped from rest from a height of 50 m. Ignore air resistance. Find its kinetic energy Ek just before it hits the ground.

m = 1 kgh = 50 mg = 9.81 m/s²
Ek = J
3.Medium
20°L = 3 m2 kg

A 2 kg ball hangs on a light string of length 3 m. It is pulled aside until the string makes 20° with the vertical and released from rest. Find the tension T in the string when the ball passes the lowest point.

m = 2 kgL = 3 mθ = 20°g = 9.81 m/s²
T = N
4.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 6 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 = 6 cmg = 9.81 m/s²
h = m
5.Hard
h = 3 mL = 2 mμ = 0.15k = 500 N/m

A 4 kg block is released from rest at height 3 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 2 m long (μ = 0.15) and then runs onto a spring (k = 500 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 4 kgh = 3 mL = 2 mμ = 0.15k = 500 N/mg = 9.81 m/s²
x = cm
6.Hard
h = 3.5 mL = 4 mμ = 0.3k = 5000 N/m

A 0.5 kg block is released from rest at height 3.5 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 4 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 = 0.5 kgh = 3.5 mL = 4 mμ = 0.3k = 5000 N/mg = 9.81 m/s²
x = cm

Answer key

  1. 1. Ek = 157 J
  2. 2. Ek = 490.5 J
  3. 3. T = 21.99 N
  4. 4. h = 2.446 m
  5. 5. x = 65.1 cm
  6. 6. x = 6.718 cm

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