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 force of 250 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 2.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) load × effort (d) effort ÷ load
- 3.🏋️ A force of 40 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 4.🏋️ A machine lifts a load of 650 N when you push with 130 N. What is its mechanical advantage (MA)?
- 5.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) watt hour (d) joule (J)
- 6.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 7.🏋️ Pushing a crate 1 m took 230 J of work. What force was used, in newtons?
- 8.🏋️ A force of 140 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 9.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) no, work stays the same (d) yes, always
- 10.🏋️ A 13 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 12 m long and rises 2 m. What effort pushes a 4200 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ Pushing a crate 2 m took 180 J of work. What force was used, in newtons?
- 13.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ Pushing a crate 9 m took 2610 J of work. What force was used, in newtons?
- 15.🏋️ A force of 290 N did 1160 J of work. How many metres did the object move?
- 16.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 17.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ An 11 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A 20 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.🏋️ A 7 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ Pushing a crate 2 m took 560 J of work. What force was used, in newtons?
- 22.🏋️ Pushing a crate 7 m took 2030 J of work. What force was used, in newtons?
- 23.🏋️ A 2 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ Pushing a crate 3 m took 180 J of work. What force was used, in newtons?
- 25.🏋️ A 9 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ Pushing a crate 9 m took 2070 J of work. What force was used, in newtons?
- 27.🏋️ Pushing a crate 5 m took 1500 J of work. What force was used, in newtons?
- 28.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) only upwards (d) very slowly
- 29.🏋️ A force of 480 N did 4320 J of work. How many metres did the object move?
- 30.🏋️ Pushing a crate 10 m took 3000 J of work. What force was used, in newtons?
- 31.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 290 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 33.🏋️ A 19 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A force of 80 N did 720 J of work. How many metres did the object move?
- 36.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 90 N did 810 J of work. How many metres did the object move?
- 38.🏋️ A 19 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A force of 340 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 160 N did 800 J of work. How many metres did the object move?
Answer key
- 1500
- load ÷ effort
- 120
- 5
- joule (J)
- less effort
- 230
- 980
- no, work stays the same
- 390
- 700
- 90
- 250
- 290
- 4
- 6
- 400
- 330
- 1000
- 280
- 280
- 290
- 80
- 60
- 360
- 230
- 300
- through a distance
- 9
- 300
- 5
- 2900
- 570
- 850
- 9
- 2
- 9
- 380
- 3400
- 5
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