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 = 31 m

A 0.5 kg ball is dropped from rest from a height of 31 m. Ignore air resistance. Find its speed v just before it hits the ground.

m = 0.5 kgh = 31 mg = 9.81 m/s²
v = m/s
2.Easy
m = 0.5 kggh = 8 m

A 0.5 kg ball is dropped from rest from a height of 8 m. Ignore air resistance. Find its speed v just before it hits the ground.

m = 0.5 kgh = 8 mg = 9.81 m/s²
v = m/s
3.Medium
15°d = 20 mμ = 0.15

A block slides from rest down a slope at 15° to the horizontal. The coefficient of kinetic friction is 0.15. Find its speed v after it has slid 20 m along the slope.

θ = 15°μ = 0.15d = 20 mg = 9.81 m/s²
v = m/s
4.Medium
25°d = 5 mμ = 0.35

A block slides from rest down a slope at 25° to the horizontal. The coefficient of kinetic friction is 0.35. Find its speed v after it has slid 5 m along the slope.

θ = 25°μ = 0.35d = 5 mg = 9.81 m/s²
v = m/s
5.Hard
h = 4 mL = 1 mμ = 0.15k = 4000 N/m

A 10 kg block is released from rest at height 4 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 1 m long (μ = 0.15) and then runs onto a spring (k = 4000 N/m) on a smooth surface. Find the speed v of the block when it reaches the spring.

m = 10 kgh = 4 mL = 1 mμ = 0.15k = 4000 N/mg = 9.81 m/s²
v = m/s
6.Hard
h = 4.5 mL = 5 mμ = 0.3k = 2500 N/m

A 5 kg block is released from rest at height 4.5 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 5 m long (μ = 0.3) and then runs onto a spring (k = 2500 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 5 kgh = 4.5 mL = 5 mμ = 0.3k = 2500 N/mg = 9.81 m/s²
x = cm

Answer key

  1. 1. v = 24.66 m/s
  2. 2. v = 12.53 m/s
  3. 3. v = 6.686 m/s
  4. 4. v = 3.216 m/s
  5. 5. v = 8.691 m/s
  6. 6. x = 34.31 cm

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