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.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) very slowly (d) only upwards
- 2.🏋️ A force of 460 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 3.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) joule (J) (d) watt hour
- 4.🏋️ Pushing a crate 9 m took 3060 J of work. What force was used, in newtons?
- 5.🏋️ A force of 170 N did 340 J of work. How many metres did the object move?
- 6.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) less effort (d) more effort
- 7.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 8.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ 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)
- 10.🏋️ Pushing a crate 2 m took 160 J of work. What force was used, in newtons?
- 11.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A force of 50 N did 100 J of work. How many metres did the object move?
- 14.🏋️ A force of 230 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 15.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
- 16.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 18.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A force of 140 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 20.🏋️ Pushing a crate 5 m took 1500 J of work. What force was used, in newtons?
- 21.🏋️ A force of 430 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 22.🏋️ An 18 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A force of 440 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 490 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 25.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 26.🏋️ A force of 250 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 27.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) no, work stays the same (d) yes, always
- 28.🏋️ A force of 460 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 29.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 30.🏋️ Pushing a crate 4 m took 80 J of work. What force was used, in newtons?
- 31.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ Pushing a crate 3 m took 180 J of work. What force was used, in newtons?
- 33.🏋️ A 1 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 90 N did 900 J of work. How many metres did the object move?
- 35.🏋️ A 6 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A force of 70 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 130 N did 1170 J of work. How many metres did the object move?
- 38.🏋️ An 11 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A force of 310 N did 930 J of work. How many metres did the object move?
- 40.🏋️ Pushing a crate 9 m took 3600 J of work. What force was used, in newtons?
Answer key
- through a distance
- 4140
- joule (J)
- 340
- 2
- less effort
- 4
- 850
- 400
- 80
- 750
- 900
- 2
- 230
- 5
- 450
- 4
- 50
- 700
- 300
- 3010
- 900
- 2200
- 980
- 2
- 1250
- no, work stays the same
- 920
- load ÷ effort
- 20
- 800
- 60
- 10
- 10
- 240
- 630
- 9
- 110
- 3
- 400
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