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 = 1 kggh = 22 m

A 1 kg ball is dropped from rest from a height of 22 m. Ignore air resistance. Find its kinetic energy Ek just before it hits the ground.

m = 1 kgh = 22 mg = 9.81 m/s²
Ek = J
2.Easy
m = 2.5 kggh = 17 m

A 2.5 kg ball is dropped from rest from a height of 17 m. Ignore air resistance. Find its speed v just before it hits the ground.

m = 2.5 kgh = 17 mg = 9.81 m/s²
v = m/s
3.Medium
25°d = 2 mμ = 0.25

A block slides from rest down a slope at 25° to the horizontal. The coefficient of kinetic friction is 0.25. Find its speed v after it has slid 2 m along the slope.

θ = 25°μ = 0.25d = 2 mg = 9.81 m/s²
v = m/s
4.Medium
0.15 kgk = 1000 N/mh = ?

A toy launcher has a vertical spring of stiffness 1000 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 = 1000 N/mx = 6 cmg = 9.81 m/s²
h = m
5.Hard
2 kg6 kgμ = 0.1d = 3 m

A 2 kg block rests on a rough horizontal table (μ = 0.1). A light string runs from it over a smooth pulley at the edge of the table to a hanging 6 kg block. The system is released from rest. Find the speed v of the blocks after the hanging block has dropped 3 m.

m1 = 2 kgm2 = 6 kgμ = 0.1d = 3 mg = 9.81 m/s²
v = m/s
6.Hard
h = 3.5 mL = 4 mμ = 0.3k = 500 N/m

A 2.5 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 = 500 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 2.5 kgh = 3.5 mL = 4 mμ = 0.3k = 500 N/mg = 9.81 m/s²
x = cm

Answer key

  1. 1. Ek = 215.8 J
  2. 2. v = 18.26 m/s
  3. 3. v = 2.774 m/s
  4. 4. h = 1.223 m
  5. 5. v = 6.532 m/s
  6. 6. x = 47.5 cm

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