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.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) only on Mondays (d) yes, by half
- 2.🏋️ A 15 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ A force of 500 N did 2000 J of work. How many metres did the object move?
- 4.🏋️ A force of 290 N did 290 J of work. How many metres did the object move?
- 5.🏋️ A force of 480 N did 3840 J of work. How many metres did the object move?
- 6.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 7.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 8.🏋️ A force of 110 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 210 N did 210 J of work. How many metres did the object move?
- 10.🏋️ Pushing a crate 2 m took 860 J of work. What force was used, in newtons?
- 11.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 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.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 5400 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) the same effort (d) less effort
- 15.🏋️ A machine lifts a load of 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 16.🏋️ Pushing a crate 9 m took 3240 J of work. What force was used, in newtons?
- 17.🏋️ A force of 80 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 18.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 19.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 20.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 21.🏋️ A force of 170 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 440 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 23.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 24.🏋️ An 8 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A force of 50 N did 100 J of work. How many metres did the object move?
- 26.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 270 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 28.🏋️ 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)
- 29.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 310 N did 930 J of work. How many metres did the object move?
- 32.🏋️ A 9 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A 2 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A force of 500 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 35.🏋️ A machine lifts a load of 350 N when you push with 70 N. What is its mechanical advantage (MA)?
- 36.🏋️ A force of 10 N did 50 J of work. How many metres did the object move?
- 37.🏋️ A force of 340 N did 2720 J of work. How many metres did the object move?
- 38.🏋️ An 8 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A force of 280 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 40.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1750 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- no, work stays the same
- 600
- 4
- 1
- 8
- 3
- joule (J)
- 330
- 1
- 430
- through a distance
- 250
- 900
- less effort
- 4
- 360
- 720
- 5
- 2
- load ÷ effort
- 1020
- 880
- 2
- 320
- 2
- 40
- 810
- 450
- 400
- 600
- 3
- 90
- 20
- 2500
- 5
- 5
- 8
- 160
- 1960
- 350
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