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 machine lifts a load of 350 N when you push with 70 N. What is its mechanical advantage (MA)?
- 2.🏋️ Pushing a crate 7 m took 1680 J of work. What force was used, in newtons?
- 3.🏋️ Pushing a crate 9 m took 3150 J of work. What force was used, in newtons?
- 4.🏋️ A force of 310 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 5.🏋️ A force of 90 N did 270 J of work. How many metres did the object move?
- 6.🏋️ 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?
- 7.🏋️ Pushing a crate 8 m took 2880 J of work. What force was used, in newtons?
- 8.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) no, work stays the same (d) yes, always
- 9.🏋️ A machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
- 10.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ 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?
- 12.🏋️ A force of 110 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 13.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) the same effort (d) more effort
- 14.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load ÷ effort (d) load + effort
- 15.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 30 N did 300 J of work. How many metres did the object move?
- 17.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ Pushing a crate 2 m took 780 J of work. What force was used, in newtons?
- 19.🏋️ A force of 160 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 20.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 22.🏋️ A force of 290 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 23.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) only upwards (d) without moving it
- 24.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 410 N did 4100 J of work. How many metres did the object move?
- 26.🏋️ Pushing a crate 3 m took 870 J of work. What force was used, in newtons?
- 27.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A 7 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 8 m long and rises 2 m. What effort pushes a 2600 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A force of 250 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 31.🏋️ A machine lifts a load of 280 N when you push with 140 N. What is its mechanical advantage (MA)?
- 32.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A 1 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A force of 240 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 110 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 150 N did 450 J of work. How many metres did the object move?
- 37.🏋️ Pushing a crate 2 m took 800 J of work. What force was used, in newtons?
- 38.🏋️ A force of 340 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 39.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ Pushing a crate 7 m took 910 J of work. What force was used, in newtons?
Answer key
- 5
- 240
- 350
- 1550
- 3
- 750
- 360
- no, work stays the same
- 4
- 500
- 300
- 770
- less effort
- load ÷ effort
- 2
- 10
- 50
- 390
- 1440
- 450
- joule (J)
- 1160
- through a distance
- 5
- 10
- 290
- 300
- 70
- 650
- 250
- 2
- 200
- 30
- 1200
- 880
- 3
- 400
- 2040
- 40
- 130
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