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.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) yes, always (d) only on Mondays
- 3.🏋️ Pushing a crate 5 m took 1600 J of work. What force was used, in newtons?
- 4.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) through a distance (d) very slowly
- 7.🏋️ A force of 250 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 8.🏋️ Pushing a crate 2 m took 220 J of work. What force was used, in newtons?
- 9.🏋️ 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?
- 10.🏋️ A 17 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.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 12.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) metre (m) (d) newton (N)
- 14.🏋️ A 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A force of 380 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 500 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 17.🏋️ A 7 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.🏋️ 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)
- 19.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2600 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 21.🏋️ A force of 90 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 22.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) load × effort (d) effort ÷ load
- 23.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 80 N did 560 J of work. How many metres did the object move?
- 25.🏋️ A force of 300 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 26.🏋️ Pushing a crate 6 m took 600 J of work. What force was used, in newtons?
- 27.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 30.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 31.🏋️ A machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 420 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 320 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 34.🏋️ Pushing a crate 5 m took 800 J of work. What force was used, in newtons?
- 35.🏋️ A 19 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 5000 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ Pushing a crate 7 m took 210 J of work. What force was used, in newtons?
- 38.🏋️ A force of 440 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 39.🏋️ Pushing a crate 9 m took 3690 J of work. What force was used, in newtons?
- 40.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
Answer key
- 850
- no, work stays the same
- 320
- 400
- 450
- through a distance
- 2250
- 110
- 170
- 850
- 3
- 250
- joule (J)
- 120
- 1140
- 3500
- 210
- 100
- 650
- 4
- 450
- load ÷ effort
- 650
- 7
- 600
- 100
- 600
- 150
- 3
- 3
- 4
- 2520
- 2560
- 160
- 950
- 1000
- 30
- 3960
- 410
- 6
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