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 smooth ramp is 2 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A force of 440 N did 880 J of work. How many metres did the object move?
- 3.🏋️ 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)
- 4.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) yes, always (d) only on Mondays
- 5.🏋️ Pushing a crate 5 m took 350 J of work. What force was used, in newtons?
- 6.🏋️ A 5 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ Pushing a crate 5 m took 500 J of work. What force was used, in newtons?
- 8.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Pushing a crate 8 m took 1680 J of work. What force was used, in newtons?
- 10.🏋️ A 6 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A force of 170 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 12.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3200 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 130 N did 390 J of work. How many metres did the object move?
- 15.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ 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?
- 17.🏋️ A force of 290 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 320 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 19.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) watt hour (d) newton (N)
- 20.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 21.🏋️ A force of 450 N did 450 J of work. How many metres did the object move?
- 22.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load ÷ effort (c) load × effort (d) effort ÷ load
- 23.🏋️ A force of 430 N did 1290 J of work. How many metres did the object move?
- 24.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 25.🏋️ Pushing a crate 10 m took 1000 J of work. What force was used, in newtons?
- 26.🏋️ A machine lifts a load of 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 27.🏋️ Pushing a crate 7 m took 210 J of work. What force was used, in newtons?
- 28.🏋️ Pushing a crate 7 m took 140 J of work. What force was used, in newtons?
- 29.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) no effort (d) more effort
- 30.🏋️ A 10 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 20 N did 100 J of work. How many metres did the object move?
- 33.🏋️ A force of 230 N did 1840 J of work. How many metres did the object move?
- 34.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 400 N did 2400 J of work. How many metres did the object move?
- 36.🏋️ A machine lifts a load of 500 N when you push with 100 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 320 N did 3200 J of work. How many metres did the object move?
- 38.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ Pushing a crate 9 m took 3780 J of work. What force was used, in newtons?
- 40.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) through a distance (d) without moving it
Answer key
- 600
- 2
- 400
- no, work stays the same
- 70
- 100
- 100
- 150
- 210
- 60
- 170
- 800
- 950
- 3
- 120
- 20
- 2030
- 1600
- joule (J)
- 6
- 1
- load ÷ effort
- 3
- 2
- 100
- 6
- 30
- 20
- less effort
- 400
- 2
- 5
- 8
- 5
- 6
- 5
- 10
- 800
- 420
- through a distance
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