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.🏋️ Pushing a crate 2 m took 20 J of work. What force was used, in newtons?
- 2.🏋️ A machine lifts a load of 1000 N when you push with 200 N. What is its mechanical advantage (MA)?
- 3.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) very slowly (d) only upwards
- 4.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 3300 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ Pushing a crate 8 m took 2880 J of work. What force was used, in newtons?
- 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.🏋️ Pushing a crate 10 m took 500 J of work. What force was used, in newtons?
- 8.🏋️ A force of 240 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 9.🏋️ Pushing a crate 2 m took 620 J of work. What force was used, in newtons?
- 10.🏋️ Pushing a crate 7 m took 1470 J of work. What force was used, in newtons?
- 11.🏋️ A force of 310 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 100 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 13.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) more effort (d) the same effort
- 14.🏋️ 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?
- 15.🏋️ 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?
- 16.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 17.🏋️ 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?
- 18.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 19.🏋️ A force of 340 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 400 N did 2000 J of work. How many metres did the object move?
- 21.🏋️ A force of 240 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 440 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 23.🏋️ Pushing a crate 2 m took 1000 J of work. What force was used, in newtons?
- 24.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ Pushing a crate 5 m took 2150 J of work. What force was used, in newtons?
- 26.🏋️ A force of 250 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 27.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 28.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load + effort (d) load ÷ effort
- 29.🏋️ A force of 260 N did 780 J of work. How many metres did the object move?
- 30.🏋️ A force of 300 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 370 N did 1110 J of work. How many metres did the object move?
- 32.🏋️ A 4 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.🏋️ Pushing a crate 9 m took 1800 J of work. What force was used, in newtons?
- 34.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A force of 200 N did 1800 J of work. How many metres did the object move?
- 36.🏋️ A force of 480 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 37.🏋️ A machine lifts a load of 720 N when you push with 180 N. What is its mechanical advantage (MA)?
- 38.🏋️ 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)
- 39.🏋️ A force of 480 N did 4800 J of work. How many metres did the object move?
- 40.🏋️ A force of 460 N pushes a cart 10 m along the floor. How much work is done, in joules?
Answer key
- 10
- 5
- through a distance
- 550
- 360
- no, work stays the same
- 50
- 1680
- 310
- 210
- 310
- 200
- less effort
- 300
- 240
- 3
- 330
- joule (J)
- 680
- 5
- 1200
- 1760
- 500
- 300
- 430
- 500
- 3
- load ÷ effort
- 3
- 300
- 3
- 200
- 200
- 950
- 9
- 3840
- 4
- 850
- 10
- 4600
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