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 450 N when you push with 90 N. What is its mechanical advantage (MA)?
- 2.🏋️ 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?
- 3.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) more effort (d) the same effort
- 4.🏋️ A force of 200 N did 600 J of work. How many metres did the object move?
- 5.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 6.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 7.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) no, work stays the same (d) yes, by half
- 8.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load + effort (d) load × effort
- 9.🏋️ A force of 180 N did 1260 J of work. How many metres did the object move?
- 10.🏋️ A 20 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 force of 400 N did 1600 J of work. How many metres did the object move?
- 12.🏋️ A force of 230 N did 230 J of work. How many metres did the object move?
- 13.🏋️ A machine lifts a load of 550 N when you push with 110 N. What is its mechanical advantage (MA)?
- 14.🏋️ A force of 280 N did 2240 J of work. How many metres did the object move?
- 15.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A force of 210 N did 1890 J of work. How many metres did the object move?
- 17.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 18.🏋️ A force of 70 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 290 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 20.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) watt hour (d) newton (N)
- 21.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 470 N did 940 J of work. How many metres did the object move?
- 23.🏋️ Pushing a crate 4 m took 1960 J of work. What force was used, in newtons?
- 24.🏋️ A force of 260 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 25.🏋️ An 8 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ An 11 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A force of 40 N did 160 J of work. How many metres did the object move?
- 30.🏋️ A force of 250 N did 2250 J of work. How many metres did the object move?
- 31.🏋️ A force of 210 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 230 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 330 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 110 N did 880 J of work. How many metres did the object move?
- 35.🏋️ 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)
- 36.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 390 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 38.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 350 N did 1750 J of work. How many metres did the object move?
- 40.🏋️ A force of 310 N did 930 J of work. How many metres did the object move?
Answer key
- 5
- 20
- less effort
- 3
- through a distance
- 2
- no, work stays the same
- load ÷ effort
- 7
- 1000
- 4
- 1
- 5
- 8
- 500
- 9
- 6
- 70
- 1450
- joule (J)
- 6
- 2
- 490
- 260
- 400
- 550
- 650
- 350
- 4
- 9
- 630
- 1150
- 990
- 8
- 600
- 3
- 3900
- 400
- 5
- 3
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