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 = 19 m

A 5 kg ball is dropped from rest from a height of 19 m. Ignore air resistance. Find its kinetic energy Ek just before it hits the ground.

m = 5 kgh = 19 mg = 9.81 m/s²
Ek = J
2.Easy
m = 4 kggh = 8 m

A 4 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 = 4 kgh = 8 mg = 9.81 m/s²
Ek = J
3.Medium
20°d = 10 mμ = 0.1

A block slides from rest down a slope at 20° to the horizontal. The coefficient of kinetic friction is 0.1. Find its speed v after it has slid 10 m along the slope.

θ = 20°μ = 0.1d = 10 mg = 9.81 m/s²
v = m/s
4.Medium
35°d = 12 mμ = 0.2

A 5 kg block slides 12 m down a slope at 35° to the horizontal, with a coefficient of kinetic friction of 0.2. Find the work Wf done against friction.

m = 5 kgθ = 35°μ = 0.2d = 12 mg = 9.81 m/s²
Wf = J
5.Hard
h = 4.8 mR = 1.5 mN = ?

A 1 kg cart is released from rest at a height of 4.8 m on a smooth track that leads into a vertical circular loop of radius 1.5 m. Find the normal force N the track exerts on the cart at the top of the loop.

m = 1 kgh = 4.8 mR = 1.5 mg = 9.81 m/s²
N = N
6.Hard
k = 800 N/m35°μ = 0.152 kg

A spring of stiffness 800 N/m at the bottom of a 35° slope is compressed by 20 cm against a 2 kg block and released. The coefficient of kinetic friction between block and slope is 0.15. 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 = 2 kgk = 800 N/mx = 20 cmθ = 35°μ = 0.15g = 9.81 m/s²
d = m

Answer key

  1. 1. Ek = 932 J
  2. 2. Ek = 313.9 J
  3. 3. v = 6.976 m/s
  4. 4. Wf = 96.43 J
  5. 5. N = 13.73 N
  6. 6. d = 1.171 m

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