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 750 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 3.🏋️ Pushing a crate 10 m took 1400 J of work. What force was used, in newtons?
- 4.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 6.🏋️ A force of 430 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 360 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 8.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A force of 180 N did 1440 J of work. How many metres did the object move?
- 10.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) only on Mondays (d) yes, always
- 11.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load × effort (d) load + effort
- 12.🏋️ Pushing a crate 4 m took 1200 J of work. What force was used, in newtons?
- 13.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 14.🏋️ A 5 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A force of 240 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 16.🏋️ 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?
- 17.🏋️ A 6 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 30 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 480 N did 480 J of work. How many metres did the object move?
- 21.🏋️ Pushing a crate 9 m took 3060 J of work. What force was used, in newtons?
- 22.🏋️ A 17 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ Pushing a crate 7 m took 630 J of work. What force was used, in newtons?
- 24.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) less effort (d) no effort
- 25.🏋️ Pushing a crate 8 m took 640 J of work. What force was used, in newtons?
- 26.🏋️ A 13 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 430 N did 2150 J of work. How many metres did the object move?
- 28.🏋️ A force of 280 N did 1960 J of work. How many metres did the object move?
- 29.🏋️ Pushing a crate 1 m took 400 J of work. What force was used, in newtons?
- 30.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ 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?
- 32.🏋️ A 9 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ An 11 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4750 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 40 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 37.🏋️ An 8 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 39.🏋️ 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?
- 40.🏋️ A force of 90 N pushes a cart 3 m along the floor. How much work is done, in joules?
Answer key
- 150
- 3
- 140
- 650
- 4
- 430
- 3240
- 700
- 8
- no, work stays the same
- load ÷ effort
- 300
- 2
- 50
- 480
- 240
- 300
- 5
- 60
- 1
- 340
- 510
- 90
- less effort
- 80
- 520
- 5
- 7
- 400
- 400
- 40
- 450
- 220
- 100
- 950
- 360
- 160
- through a distance
- 250
- 270
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