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.
NameDateTime takenScore ___ / 40
- 1.🏋️ A force of 40 N did 280 J of work. How many metres did the object move?
- 2.🏋️ A force of 180 N did 1260 J of work. How many metres did the object move?
- 3.🏋️ A force of 200 N did 1400 J of work. How many metres did the object move?
- 4.🏋️ A force of 470 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 5.🏋️ A force of 120 N did 1200 J of work. How many metres did the object move?
- 6.🏋️ A force of 410 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 50 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 8.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) through a distance (d) only upwards
- 9.🏋️ A force of 120 N did 600 J of work. How many metres did the object move?
- 10.🏋️ 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)
- 11.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 12.🏋️ A force of 140 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 13.🏋️ 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?
- 14.🏋️ 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?
- 15.🏋️ A force of 40 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 16.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
- 17.🏋️ Pushing a crate 4 m took 400 J of work. What force was used, in newtons?
- 18.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
- 19.🏋️ A force of 150 N did 900 J of work. How many metres did the object move?
- 20.🏋️ A force of 380 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 21.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 22.🏋️ 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
- 23.🏋️ A force of 140 N did 560 J of work. How many metres did the object move?
- 24.🏋️ Pushing a crate 8 m took 240 J of work. What force was used, in newtons?
- 25.🏋️ A force of 480 N did 960 J of work. How many metres did the object move?
- 26.🏋️ A 5 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 10 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ Pushing a crate 3 m took 750 J of work. What force was used, in newtons?
- 29.🏋️ Pushing a crate 3 m took 1080 J of work. What force was used, in newtons?
- 30.🏋️ Pushing a crate 9 m took 1800 J of work. What force was used, in newtons?
- 31.🏋️ Pushing a crate 5 m took 750 J of work. What force was used, in newtons?
- 32.🏋️ A force of 480 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 33.🏋️ Pushing a crate 6 m took 420 J of work. What force was used, in newtons?
- 34.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 36.🏋️ A force of 100 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 37.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4250 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ An 18 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
Answer key
- 7
- 7
- 7
- 2820
- 10
- 4100
- 200
- through a distance
- 5
- 400
- load ÷ effort
- 560
- 180
- 450
- 40
- 3
- 100
- joule (J)
- 6
- 1900
- less effort
- no, work stays the same
- 4
- 30
- 2
- 250
- 300
- 250
- 360
- 200
- 150
- 960
- 70
- 650
- 3
- 700
- 850
- 720
- 150
- 3
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