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.
NameDateTime takenScore ___ / 40
- 1.🏋️ Pushing a crate 9 m took 720 J of work. What force was used, in newtons?
- 2.🏋️ A 2 kg box is lifted straight up by 1 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) very slowly (b) through a distance (c) only upwards (d) without moving it
- 4.🏋️ Pushing a crate 1 m took 180 J of work. What force was used, in newtons?
- 5.🏋️ Pushing a crate 8 m took 1520 J of work. What force was used, in newtons?
- 6.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A force of 140 N did 700 J of work. How many metres did the object move?
- 8.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Pushing a crate 2 m took 660 J of work. What force was used, in newtons?
- 10.🏋️ A force of 250 N did 250 J of work. How many metres did the object move?
- 11.🏋️ A 6 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 13.🏋️ A 1 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ Pushing a crate 2 m took 280 J of work. What force was used, in newtons?
- 15.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ An 8 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A force of 450 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 280 N did 1120 J of work. How many metres did the object move?
- 19.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) no, work stays the same (d) yes, by half
- 20.🏋️ A 20 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) joule (J) (d) watt hour
- 22.🏋️ Pushing a crate 1 m took 350 J of work. What force was used, in newtons?
- 23.🏋️ A force of 320 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 470 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 25.🏋️ Pushing a crate 2 m took 40 J of work. What force was used, in newtons?
- 26.🏋️ A force of 350 N did 3500 J of work. How many metres did the object move?
- 27.🏋️ A force of 310 N did 3100 J of work. How many metres did the object move?
- 28.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) effort ÷ load (d) load + effort
- 29.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ Pushing a crate 7 m took 2380 J of work. What force was used, in newtons?
- 31.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ Pushing a crate 4 m took 1600 J of work. What force was used, in newtons?
- 34.🏋️ A force of 200 N did 200 J of work. How many metres did the object move?
- 35.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A 17 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A force of 160 N did 160 J of work. How many metres did the object move?
- 38.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 39.🏋️ A 10 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 machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
Answer key
- 80
- 20
- through a distance
- 180
- 190
- 950
- 5
- 200
- 330
- 1
- 60
- 3
- 20
- 140
- 900
- 320
- 450
- 4
- no, work stays the same
- 200
- joule (J)
- 350
- 2240
- 470
- 20
- 10
- 10
- load ÷ effort
- 300
- 340
- 50
- 800
- 400
- 1
- 500
- 170
- 1
- 6
- 500
- 2
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