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 = 46 m

A 0.5 kg ball is dropped from rest from a height of 46 m. Ignore air resistance. Find its kinetic energy Ek just before it hits the ground.

m = 0.5 kgh = 46 mg = 9.81 m/s²
Ek = J
2.Easy
m = 10 kggh = 21 m

A 10 kg ball is dropped from rest from a height of 21 m. Ignore air resistance. Find its speed v just before it hits the ground.

m = 10 kgh = 21 mg = 9.81 m/s²
v = m/s
3.Medium
50°L = 0.5 m5 kg

A 5 kg ball hangs on a light string of length 0.5 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 = 0.5 mθ = 50°g = 9.81 m/s²
T = N
4.Medium
40°L = 0.8 m2 kg

A 2 kg ball hangs on a light string of length 0.8 m. It is pulled aside until the string makes 40° with the vertical and released from rest. Find the tension T in the string when the ball passes the lowest point.

m = 2 kgL = 0.8 mθ = 40°g = 9.81 m/s²
T = N
5.Hard
h = 4 mL = 1.5 mμ = 0.3k = 2000 N/m

A 2 kg block is released from rest at height 4 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 = 2000 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 2 kgh = 4 mL = 1.5 mμ = 0.3k = 2000 N/mg = 9.81 m/s²
x = cm
6.Hard
h = 3 mL = 1.5 mμ = 0.15k = 800 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 1.5 m long (μ = 0.15) and then runs onto a spring (k = 800 N/m) on a smooth surface. Find the speed v of the block when it reaches the spring.

m = 4 kgh = 3 mL = 1.5 mμ = 0.15k = 800 N/mg = 9.81 m/s²
v = m/s

Answer key

  1. 1. Ek = 225.6 J
  2. 2. v = 20.3 m/s
  3. 3. T = 84.09 N
  4. 4. T = 28.8 N
  5. 5. x = 26.39 cm
  6. 6. v = 7.379 m/s

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