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 force of 310 N did 620 J of work. How many metres did the object move?
- 2.🏋️ A 5 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 4.🏋️ Pushing a crate 8 m took 2960 J of work. What force was used, in newtons?
- 5.🏋️ Pushing a crate 5 m took 2400 J of work. What force was used, in newtons?
- 6.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ Pushing a crate 9 m took 1980 J of work. What force was used, in newtons?
- 8.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A 7 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A 2 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
- 12.🏋️ A force of 200 N did 600 J of work. How many metres did the object move?
- 13.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 470 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 15.🏋️ Pushing a crate 2 m took 600 J of work. What force was used, in newtons?
- 16.🏋️ 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?
- 17.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A force of 480 N did 2880 J of work. How many metres did the object move?
- 19.🏋️ A force of 310 N did 3100 J of work. How many metres did the object move?
- 20.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 21.🏋️ A force of 130 N did 260 J of work. How many metres did the object move?
- 22.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 400 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 4 m took 360 J of work. What force was used, in newtons?
- 25.🏋️ A force of 490 N did 2450 J of work. How many metres did the object move?
- 26.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ In which unit is work measured? (a) joule (J) (b) newton (N) (c) metre (m) (d) watt hour
- 28.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) only on Mondays (d) yes, by half
- 30.🏋️ A force of 410 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 330 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 32.🏋️ Pushing a crate 4 m took 1440 J of work. What force was used, in newtons?
- 33.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 34.🏋️ 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)
- 35.🏋️ A force of 110 N did 220 J of work. How many metres did the object move?
- 36.🏋️ Pushing a crate 4 m took 1520 J of work. What force was used, in newtons?
- 37.🏋️ Pushing a crate 2 m took 180 J of work. What force was used, in newtons?
- 38.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 130 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 40.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
Answer key
- 2
- 150
- through a distance
- 370
- 480
- 450
- 220
- 200
- 350
- 100
- load ÷ effort
- 3
- 750
- 940
- 300
- 80
- 100
- 6
- 10
- 3
- 2
- 2
- 1200
- 90
- 5
- 250
- joule (J)
- 300
- no, work stays the same
- 4100
- 1980
- 360
- 3
- 550
- 2
- 380
- 90
- 3
- 1170
- 3
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