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.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 2.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load + effort (d) load × effort
- 3.🏋️ An 8 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ Pushing a crate 10 m took 400 J of work. What force was used, in newtons?
- 5.🏋️ A force of 140 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 6.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 8.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Pushing a crate 8 m took 3440 J of work. What force was used, in newtons?
- 10.🏋️ A 12 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) the same effort (d) less effort
- 13.🏋️ A force of 340 N did 2720 J of work. How many metres did the object move?
- 14.🏋️ A force of 90 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 15.🏋️ A force of 340 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 450 N did 1350 J of work. How many metres did the object move?
- 17.🏋️ A force of 10 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 18.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ An 11 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ Pushing a crate 6 m took 2040 J of work. What force was used, in newtons?
- 21.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) only on Mondays (d) no, work stays the same
- 23.🏋️ A force of 430 N did 1720 J of work. How many metres did the object move?
- 24.🏋️ A 3 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A force of 430 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 26.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) metre (m) (d) watt hour
- 27.🏋️ A force of 280 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 28.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 310 N did 620 J of work. How many metres did the object move?
- 30.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 32.🏋️ Pushing a crate 10 m took 1700 J of work. What force was used, in newtons?
- 33.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 10 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 36.🏋️ Pushing a crate 3 m took 420 J of work. What force was used, in newtons?
- 37.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 38.🏋️ A force of 140 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 39.🏋️ A 17 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ Pushing a crate 4 m took 840 J of work. What force was used, in newtons?
Answer key
- through a distance
- load ÷ effort
- 80
- 40
- 140
- 650
- 2
- 600
- 430
- 360
- 700
- less effort
- 8
- 360
- 1700
- 3
- 90
- 150
- 550
- 340
- 500
- no, work stays the same
- 4
- 150
- 430
- joule (J)
- 1960
- 3
- 2
- 50
- 2
- 170
- 650
- 5
- 70
- 140
- 6
- 1260
- 680
- 210
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