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 = 17 m

A 1 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 = 1 kgh = 17 mg = 9.81 m/s²
v = m/s
2.Easy
m = 10 kggh = 22 m

A 10 kg ball is dropped from rest from a height of 22 m. Ignore air resistance. Find its speed v just before it hits the ground.

m = 10 kgh = 22 mg = 9.81 m/s²
v = m/s
3.Medium
54 km/h8°2000 kg

A 2000 kg car drives up an 8° slope at a constant 54 km/h. Air resistance and rolling resistance together amount to 450 N. Find the power P the wheels must deliver, in kW.

m = 2000 kgθ = 8°Fr = 450 Nv = 54 km/hg = 9.81 m/s²
P = kW
4.Medium
72 km/h5°1000 kg

A 1000 kg car drives up a 5° slope at a constant 72 km/h. Air resistance and rolling resistance together amount to 350 N. Find the power P the wheels must deliver, in kW.

m = 1000 kgθ = 5°Fr = 350 Nv = 72 km/hg = 9.81 m/s²
P = kW
5.Hard
h = 4.5 mL = 1.5 mμ = 0.15k = 2000 N/m

A 0.5 kg block is released from rest at height 4.5 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 1.5 m long (μ = 0.15) and then runs onto a spring (k = 2000 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 0.5 kgh = 4.5 mL = 1.5 mμ = 0.15k = 2000 N/mg = 9.81 m/s²
x = cm
6.Hard
h = 3.5 mL = 2 mμ = 0.3k = 2000 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 2 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 = 2.5 kgh = 3.5 mL = 2 mμ = 0.3k = 2000 N/mg = 9.81 m/s²
x = cm

Answer key

  1. 1. v = 18.26 m/s
  2. 2. v = 20.78 m/s
  3. 3. P = 47.71 kW
  4. 4. P = 24.1 kW
  5. 5. x = 14.48 cm
  6. 6. x = 26.67 cm

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