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 = 0.5 kggh = 25 m

A 0.5 kg ball is dropped from rest from a height of 25 m. Ignore air resistance. Find its kinetic energy Ek just before it hits the ground.

m = 0.5 kgh = 25 mg = 9.81 m/s²
Ek = J
2.Easy
m = 2.5 kggh = 44 m

A 2.5 kg ball is dropped from rest from a height of 44 m. Ignore air resistance. Find its speed v just before it hits the ground.

m = 2.5 kgh = 44 mg = 9.81 m/s²
v = m/s
3.Medium
60°L = 0.5 m10 kg

A 10 kg ball hangs on a light string of length 0.5 m. It is pulled aside until the string makes 60° with the vertical and released from rest. Find the tension T in the string when the ball passes the lowest point.

m = 10 kgL = 0.5 mθ = 60°g = 9.81 m/s²
T = N
4.Medium
50°L = 2 m5 kg

A 5 kg ball hangs on a light string of length 2 m. It is pulled aside until the string makes 50° with the vertical and released from rest. Find the tension T in the string when the ball passes the lowest point.

m = 5 kgL = 2 mθ = 50°g = 9.81 m/s²
T = N
5.Hard
k = 500 N/m15°μ = 0.33 kg

A spring of stiffness 500 N/m at the bottom of a 15° slope is compressed by 15 cm against a 3 kg block and released. The coefficient of kinetic friction between block and slope is 0.3. 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 = 3 kgk = 500 N/mx = 15 cmθ = 15°μ = 0.3g = 9.81 m/s²
d = m
6.Hard
k = 800 N/m25°μ = 0.250.5 kg

A spring of stiffness 800 N/m at the bottom of a 25° slope is compressed by 5 cm against a 0.5 kg block and released. The coefficient of kinetic friction between block and slope is 0.25. 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 = 0.5 kgk = 800 N/mx = 5 cmθ = 25°μ = 0.25g = 9.81 m/s²
d = m

Answer key

  1. 1. Ek = 122.6 J
  2. 2. v = 29.38 m/s
  3. 3. T = 196.2 N
  4. 4. T = 84.09 N
  5. 5. d = 0.3484 m
  6. 6. d = 0.314 m

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