Engineering Worksheet: Mechanical Advantage and Work
Engineer's tip (Less force, more distance): MA = load ÷ effort. Work (J) = force (N) × distance (m); force = work ÷ distance; distance = work ÷ force. Ideal ramp: MA = length ÷ height, effort = load ÷ MA.
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- 1.🏋️ Pushing a crate 10 m took 2800 J of work. What force was used, in newtons?
- 2.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 3.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
- 5.🏋️ A force of 230 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 6.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 7.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 8.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
- 9.🏋️ Pushing a crate 4 m took 1680 J of work. What force was used, in newtons?
- 10.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A force of 140 N did 140 J of work. How many metres did the object move?
- 12.🏋️ Pushing a crate 4 m took 560 J of work. What force was used, in newtons?
- 13.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 14.🏋️ Pushing a crate 9 m took 2430 J of work. What force was used, in newtons?
- 15.🏋️ A 9 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A 17 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 18.🏋️ A force of 360 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 19.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A force of 450 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 21.🏋️ Pushing a crate 5 m took 1200 J of work. What force was used, in newtons?
- 22.🏋️ A force of 500 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 23.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 500 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 10 N did 80 J of work. How many metres did the object move?
- 27.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 10 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 29.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 120 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 220 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 32.🏋️ A 15 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A 2 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) less effort (d) the same effort
- 35.🏋️ A force of 40 N did 240 J of work. How many metres did the object move?
- 36.🏋️ A force of 50 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 37.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A force of 70 N did 140 J of work. How many metres did the object move?
- 39.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A force of 350 N pushes a cart 3 m along the floor. How much work is done, in joules?
Answer key
- 280
- through a distance
- 700
- 3
- 1380
- 4
- 5
- load ÷ effort
- 420
- 40
- 1
- 140
- 2
- 270
- 90
- 340
- 3
- 2520
- 850
- 4500
- 240
- 1500
- 350
- 2
- 4000
- 8
- 950
- 60
- 3
- 840
- 1540
- 150
- 100
- less effort
- 6
- 450
- 400
- 2
- 100
- 1050
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