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.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 2.🏋️ A force of 50 N did 100 J of work. How many metres did the object move?
- 3.🏋️ A force of 380 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 4.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 5.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) only on Mondays (d) yes, by half
- 6.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 7.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load ÷ effort (d) load × effort
- 8.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 10.🏋️ Pushing a crate 9 m took 2340 J of work. What force was used, in newtons?
- 11.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 12.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ Pushing a crate 1 m took 220 J of work. What force was used, in newtons?
- 14.🏋️ A force of 150 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 15.🏋️ A 20 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 force of 270 N did 810 J of work. How many metres did the object move?
- 17.🏋️ 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)
- 18.🏋️ A force of 240 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 19.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) less effort (d) the same effort
- 20.🏋️ A force of 240 N did 240 J of work. How many metres did the object move?
- 21.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A force of 160 N did 1120 J of work. How many metres did the object move?
- 23.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 24.🏋️ Pushing a crate 2 m took 160 J of work. What force was used, in newtons?
- 25.🏋️ A force of 450 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 26.🏋️ A machine lifts a load of 720 N when you push with 180 N. What is its mechanical advantage (MA)?
- 27.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 28.🏋️ Pushing a crate 10 m took 2800 J of work. What force was used, in newtons?
- 29.🏋️ A force of 280 N did 2240 J of work. How many metres did the object move?
- 30.🏋️ A force of 290 N did 2610 J of work. How many metres did the object move?
- 31.🏋️ Pushing a crate 10 m took 1000 J of work. What force was used, in newtons?
- 32.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
- 33.🏋️ A 3 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A force of 80 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 36.🏋️ Pushing a crate 3 m took 180 J of work. What force was used, in newtons?
- 37.🏋️ A force of 360 N did 1440 J of work. How many metres did the object move?
- 38.🏋️ A force of 430 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 39.🏋️ Pushing a crate 4 m took 1000 J of work. What force was used, in newtons?
- 40.🏋️ A 14 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 2
- 2
- 1520
- 4
- no, work stays the same
- through a distance
- load ÷ effort
- 40
- 6
- 260
- 6
- 250
- 220
- 900
- 200
- 3
- 650
- 720
- less effort
- 1
- 150
- 7
- 2
- 80
- 4050
- 4
- 6
- 280
- 8
- 9
- 100
- 3
- 120
- 100
- 480
- 60
- 4
- 2150
- 250
- 420
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