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 smooth ramp is 5 m long and rises 1 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 3.🏋️ A 15 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) yes, by half (d) only on Mondays
- 7.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ Pushing a crate 7 m took 2660 J of work. What force was used, in newtons?
- 9.🏋️ A 17 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A force of 20 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 11.🏋️ A machine lifts a load of 600 N when you push with 100 N. What is its mechanical advantage (MA)?
- 12.🏋️ Pushing a crate 1 m took 90 J of work. What force was used, in newtons?
- 13.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3900 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) load ÷ effort (d) effort ÷ load
- 15.🏋️ 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?
- 16.🏋️ A machine lifts a load of 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 17.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) very slowly (d) only upwards
- 18.🏋️ Pushing a crate 9 m took 1260 J of work. What force was used, in newtons?
- 19.🏋️ In which unit is work measured? (a) joule (J) (b) newton (N) (c) watt hour (d) metre (m)
- 20.🏋️ Pushing a crate 8 m took 320 J of work. What force was used, in newtons?
- 21.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 22.🏋️ Pushing a crate 1 m took 470 J of work. What force was used, in newtons?
- 23.🏋️ A force of 80 N did 560 J of work. How many metres did the object move?
- 24.🏋️ Pushing a crate 4 m took 280 J of work. What force was used, in newtons?
- 25.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 27.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 28.🏋️ A 16 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4750 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A 12 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ Pushing a crate 3 m took 60 J of work. What force was used, in newtons?
- 32.🏋️ A force of 460 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 160 N did 480 J of work. How many metres did the object move?
- 34.🏋️ Pushing a crate 4 m took 880 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 1 m took 220 J of work. What force was used, in newtons?
- 36.🏋️ Pushing a crate 8 m took 1920 J of work. What force was used, in newtons?
- 37.🏋️ A force of 360 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 290 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 39.🏋️ Pushing a crate 7 m took 2940 J of work. What force was used, in newtons?
- 40.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 500
- 2
- 600
- 80
- 250
- no, work stays the same
- 500
- 380
- 170
- 140
- 6
- 90
- 650
- load ÷ effort
- 330
- 6
- through a distance
- 140
- joule (J)
- 40
- 4
- 470
- 7
- 70
- 400
- 4
- 6
- 800
- 950
- 120
- 20
- 3680
- 3
- 220
- 220
- 240
- 1800
- 580
- 420
- 800
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