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.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
- 2.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ 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?
- 4.🏋️ A 19 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A force of 50 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 6.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) less effort (d) no effort
- 7.🏋️ 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
- 8.🏋️ A 17 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A machine lifts a load of 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 12.🏋️ A force of 40 N did 240 J of work. How many metres did the object move?
- 13.🏋️ Pushing a crate 5 m took 2000 J of work. What force was used, in newtons?
- 14.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) without moving it (d) only upwards
- 15.🏋️ Pushing a crate 2 m took 800 J of work. What force was used, in newtons?
- 16.🏋️ A force of 500 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 17.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A force of 140 N did 700 J of work. How many metres did the object move?
- 20.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ Pushing a crate 1 m took 70 J of work. What force was used, in newtons?
- 22.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 420 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 24.🏋️ 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?
- 25.🏋️ A force of 50 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 26.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 28.🏋️ Pushing a crate 9 m took 4500 J of work. What force was used, in newtons?
- 29.🏋️ A force of 280 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 30.🏋️ A force of 140 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 470 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 32.🏋️ A 17 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 force of 490 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 34.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load + effort (d) load × effort
- 35.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 36.🏋️ Pushing a crate 5 m took 1300 J of work. What force was used, in newtons?
- 37.🏋️ A 14 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ An 8 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A 12 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A force of 380 N pushes a cart 6 m along the floor. How much work is done, in joules?
Answer key
- joule (J)
- 700
- 550
- 190
- 350
- less effort
- no, work stays the same
- 850
- 100
- 850
- 4
- 6
- 400
- through a distance
- 400
- 3000
- 450
- 850
- 5
- 600
- 70
- 5
- 4200
- 300
- 100
- 50
- 3
- 500
- 560
- 980
- 2820
- 170
- 4900
- load ÷ effort
- 4
- 260
- 280
- 240
- 360
- 2280
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