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 160 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 2.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) through a distance (d) very slowly
- 3.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 4.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) less effort (d) the same effort
- 5.🏋️ A 6 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 7.🏋️ A force of 50 N did 300 J of work. How many metres did the object move?
- 8.🏋️ Pushing a crate 7 m took 420 J of work. What force was used, in newtons?
- 9.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ Pushing a crate 4 m took 680 J of work. What force was used, in newtons?
- 11.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) only on Mondays (d) no, work stays the same
- 12.🏋️ A 10 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ A force of 390 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 230 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 15.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) newton (N) (d) metre (m)
- 16.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ Pushing a crate 3 m took 900 J of work. What force was used, in newtons?
- 18.🏋️ A 15 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
- 20.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load × effort (d) load + effort
- 23.🏋️ A force of 450 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 8 m took 2800 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 7 m took 490 J of work. What force was used, in newtons?
- 26.🏋️ 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)
- 27.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 28.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 31.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 32.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A 15 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A force of 170 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 130 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 37.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A force of 160 N did 800 J of work. How many metres did the object move?
- 39.🏋️ A force of 110 N did 550 J of work. How many metres did the object move?
- 40.🏋️ Pushing a crate 2 m took 680 J of work. What force was used, in newtons?
Answer key
- 800
- through a distance
- 5
- less effort
- 240
- 4
- 6
- 60
- 500
- 170
- no, work stays the same
- 300
- 1170
- 1610
- joule (J)
- 950
- 300
- 750
- 6
- 100
- 550
- load ÷ effort
- 450
- 350
- 70
- 600
- 2
- 130
- 800
- 6
- 6
- 800
- 250
- 300
- 1530
- 1300
- 650
- 5
- 5
- 340
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