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 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?
- 2.🏋️ A force of 20 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 3.🏋️ A force of 250 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 4.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ Pushing a crate 2 m took 20 J of work. What force was used, in newtons?
- 6.🏋️ A force of 440 N did 3080 J of work. How many metres did the object move?
- 7.🏋️ Pushing a crate 6 m took 180 J of work. What force was used, in newtons?
- 8.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A force of 110 N did 220 J of work. How many metres did the object move?
- 10.🏋️ A 9 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ 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)
- 12.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load + effort (d) load × effort
- 13.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 14.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) through a distance (d) very slowly
- 15.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 270 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 250 N did 1250 J of work. How many metres did the object move?
- 18.🏋️ A force of 310 N did 930 J of work. How many metres did the object move?
- 19.🏋️ Pushing a crate 4 m took 520 J of work. What force was used, in newtons?
- 20.🏋️ Pushing a crate 6 m took 1620 J of work. What force was used, in newtons?
- 21.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) only on Mondays (d) no, work stays the same
- 22.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 23.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) more effort (d) the same effort
- 24.🏋️ Pushing a crate 8 m took 3600 J of work. What force was used, in newtons?
- 25.🏋️ Pushing a crate 7 m took 3430 J of work. What force was used, in newtons?
- 26.🏋️ A force of 310 N did 2170 J of work. How many metres did the object move?
- 27.🏋️ A force of 50 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 28.🏋️ Pushing a crate 6 m took 300 J of work. What force was used, in newtons?
- 29.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) joule (J) (d) newton (N)
- 30.🏋️ A force of 280 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 31.🏋️ A 19 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ Pushing a crate 4 m took 680 J of work. What force was used, in newtons?
- 33.🏋️ 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)
- 34.🏋️ A force of 400 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 35.🏋️ A 9 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 machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 37.🏋️ Pushing a crate 6 m took 3000 J of work. What force was used, in newtons?
- 38.🏋️ A force of 200 N did 400 J of work. How many metres did the object move?
- 39.🏋️ A 13 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 force of 20 N pushes a cart 8 m along the floor. How much work is done, in joules?
Answer key
- 210
- 100
- 750
- 500
- 10
- 7
- 30
- 800
- 2
- 180
- 100
- load ÷ effort
- 5
- through a distance
- 3
- 540
- 5
- 3
- 130
- 270
- no, work stays the same
- 3
- less effort
- 450
- 490
- 7
- 300
- 50
- joule (J)
- 2800
- 570
- 170
- 500
- 400
- 450
- 6
- 500
- 2
- 650
- 160
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