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 4250 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) joule (J) (d) watt hour
- 3.🏋️ A force of 90 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 4.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A 16 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ Pushing a crate 3 m took 210 J of work. What force was used, in newtons?
- 7.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) very slowly (d) only upwards
- 9.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 10.🏋️ Pushing a crate 2 m took 40 J of work. What force was used, in newtons?
- 11.🏋️ A force of 220 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 12.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 380 N did 3800 J of work. How many metres did the object move?
- 14.🏋️ A force of 500 N did 500 J of work. How many metres did the object move?
- 15.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 16.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) load + effort (d) effort ÷ load
- 17.🏋️ A 14 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ 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?
- 20.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 21.🏋️ Pushing a crate 10 m took 1300 J of work. What force was used, in newtons?
- 22.🏋️ A force of 420 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 23.🏋️ 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)
- 24.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 10 N did 90 J of work. How many metres did the object move?
- 26.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) yes, by half (d) no, work stays the same
- 27.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ 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?
- 29.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ Pushing a crate 5 m took 550 J of work. What force was used, in newtons?
- 31.🏋️ A force of 350 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 32.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ 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)
- 34.🏋️ A 3 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 36.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ 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)
- 38.🏋️ A force of 130 N did 130 J of work. How many metres did the object move?
- 39.🏋️ A 2 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
Answer key
- 850
- joule (J)
- 630
- 300
- 160
- 70
- 850
- through a distance
- 2
- 20
- 1100
- 4
- 10
- 1
- 6
- load ÷ effort
- 140
- 600
- 300
- 3
- 130
- 2100
- 400
- 450
- 9
- no, work stays the same
- 400
- 510
- 100
- 110
- 2800
- 550
- 150
- 90
- 5
- 850
- 350
- 1
- 80
- 4
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