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 9 m long and rises 3 m. What effort pushes a 450 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) through a distance (d) only upwards
- 3.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 4.🏋️ A force of 260 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 5.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) yes, always (d) no, work stays the same
- 6.🏋️ A 5 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ Pushing a crate 1 m took 10 J of work. What force was used, in newtons?
- 8.🏋️ A force of 320 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 9.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) the same effort (d) no effort
- 11.🏋️ Pushing a crate 5 m took 1350 J of work. What force was used, in newtons?
- 12.🏋️ A force of 450 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 100 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 14.🏋️ Pushing a crate 1 m took 130 J of work. What force was used, in newtons?
- 15.🏋️ A force of 480 N did 1440 J of work. How many metres did the object move?
- 16.🏋️ A force of 460 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 70 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 18.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
- 19.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 20.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 21.🏋️ A force of 140 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 22.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ Pushing a crate 8 m took 2400 J of work. What force was used, in newtons?
- 24.🏋️ A 16 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A 3 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A force of 460 N did 4140 J of work. How many metres did the object move?
- 27.🏋️ A force of 390 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 28.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 430 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 380 N did 3420 J of work. How many metres did the object move?
- 32.🏋️ Pushing a crate 5 m took 750 J of work. What force was used, in newtons?
- 33.🏋️ A force of 60 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 80 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 390 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 36.🏋️ 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?
- 37.🏋️ A 1 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ Pushing a crate 4 m took 520 J of work. What force was used, in newtons?
- 39.🏋️ A force of 60 N did 420 J of work. How many metres did the object move?
- 40.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
Answer key
- 150
- through a distance
- joule (J)
- 1040
- no, work stays the same
- 250
- 10
- 640
- 350
- less effort
- 270
- 3600
- 600
- 130
- 3
- 1380
- 280
- 6
- 3
- 3
- 140
- 550
- 300
- 320
- 90
- 9
- 2340
- 50
- 2
- 2580
- 9
- 150
- 240
- 480
- 390
- 550
- 40
- 130
- 7
- load ÷ effort
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