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
4 kgv = 1.5 m/sk = 200 N/m

A 4 kg block slides at 1.5 m/s on a smooth horizontal surface into a spring of stiffness 200 N/m. Find the maximum compression x of the spring, in cm.

m = 4 kgv = 1.5 m/sk = 200 N/m
x = cm
2.Easy
m = 0.5 kggh = 5 m

A 0.5 kg ball is dropped from rest from a height of 5 m. Ignore air resistance. Find its kinetic energy Ek just before it hits the ground.

m = 0.5 kgh = 5 mg = 9.81 m/s²
Ek = J
3.Medium
30°d = 18 mμ = 0.35

A block slides from rest down a slope at 30° to the horizontal. The coefficient of kinetic friction is 0.35. Find its speed v after it has slid 18 m along the slope.

θ = 30°μ = 0.35d = 18 mg = 9.81 m/s²
v = m/s
4.Medium
90°L = 2 m10 kg

A 10 kg ball hangs on a light string of length 2 m. It is pulled aside until the string makes 90° with the vertical and released from rest. Find the tension T in the string when the ball passes the lowest point.

m = 10 kgL = 2 mθ = 90°g = 9.81 m/s²
T = N
5.Hard
h = 2 mL = 2 mμ = 0.15k = 5000 N/m

A 2 kg block is released from rest at height 2 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 2 m long (μ = 0.15) and then runs onto a spring (k = 5000 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 2 kgh = 2 mL = 2 mμ = 0.15k = 5000 N/mg = 9.81 m/s²
x = cm
6.Hard
10 kg6 kgμ = 0.1d = 3 m

A 10 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 = 10 kgm2 = 6 kgμ = 0.1d = 3 mg = 9.81 m/s²
v = m/s

Answer key

  1. 1. x = 21.21 cm
  2. 2. Ek = 24.53 J
  3. 3. v = 8.339 m/s
  4. 4. T = 294.3 N
  5. 5. x = 11.55 cm
  6. 6. v = 4.289 m/s

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