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 longer ramp to the same height needs … (a) no effort (b) more effort (c) less effort (d) the same effort
- 2.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A force of 430 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 4.🏋️ 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?
- 5.🏋️ A 12 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A force of 120 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 450 N did 2700 J of work. How many metres did the object move?
- 8.🏋️ 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
- 9.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 11.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 330 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 14.🏋️ Pushing a crate 10 m took 400 J of work. What force was used, in newtons?
- 15.🏋️ Pushing a crate 4 m took 1120 J of work. What force was used, in newtons?
- 16.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) joule (J) (d) newton (N)
- 17.🏋️ 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?
- 18.🏋️ Pushing a crate 9 m took 1890 J of work. What force was used, in newtons?
- 19.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 20.🏋️ A force of 480 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 30 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 22.🏋️ Pushing a crate 1 m took 130 J of work. What force was used, in newtons?
- 23.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) effort ÷ load (d) load ÷ effort
- 24.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 25.🏋️ A 20 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A force of 140 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 27.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 440 N did 1320 J of work. How many metres did the object move?
- 29.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 30.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 31.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A force of 370 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 35.🏋️ A 14 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A force of 40 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 250 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 39.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
- 40.🏋️ An 18 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- less effort
- 350
- 430
- 250
- 240
- 960
- 6
- no, work stays the same
- 950
- 5
- 150
- 4
- 1650
- 40
- 280
- joule (J)
- 570
- 210
- 6
- 1920
- 270
- 130
- load ÷ effort
- 2
- 400
- 1400
- 850
- 3
- through a distance
- 2
- 350
- 650
- 100
- 2590
- 700
- 450
- 320
- 250
- 6
- 900
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