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 = 2 kggh = 15 m

A 2 kg ball is dropped from rest from a height of 15 m. Ignore air resistance. Find its kinetic energy Ek just before it hits the ground.

m = 2 kgh = 15 mg = 9.81 m/s²
Ek = J
2.Easy
2 kgv = 4 m/sk = 200 N/m

A 2 kg block slides at 4 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 = 2 kgv = 4 m/sk = 200 N/m
x = cm
3.Medium
54 km/h8°1800 kg

A 1800 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 = 1800 kgθ = 8°Fr = 450 Nv = 54 km/hg = 9.81 m/s²
P = kW
4.Medium
90 km/h6°2000 kg

A 2000 kg car drives up a 6° slope at a constant 90 km/h. Air resistance and rolling resistance together amount to 800 N. Find the power P the wheels must deliver, in kW.

m = 2000 kgθ = 6°Fr = 800 Nv = 90 km/hg = 9.81 m/s²
P = kW
5.Hard
h = 4 mL = 1 mμ = 0.2k = 2000 N/m

A 1 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 = 0.2) and then runs onto a spring (k = 2000 N/m) on a smooth surface. Find the maximum compression x of the spring.

m = 1 kgh = 4 mL = 1 mμ = 0.2k = 2000 N/mg = 9.81 m/s²
x = cm
6.Hard
h = 4.5 mL = 2 mμ = 0.2k = 4000 N/m

A 2 kg block is released from rest at height 4.5 m on a smooth ramp. At the bottom it crosses a rough horizontal strip 2 m long (μ = 0.2) 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 = 2 kgh = 4.5 mL = 2 mμ = 0.2k = 4000 N/mg = 9.81 m/s²
v = m/s

Answer key

  1. 1. Ek = 294.3 J
  2. 2. x = 40 cm
  3. 3. P = 43.61 kW
  4. 4. P = 71.27 kW
  5. 5. x = 19.31 cm
  6. 6. v = 8.969 m/s

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