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 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A force of 400 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 3.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) no, work stays the same (d) yes, by half
- 6.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 7.🏋️ A force of 170 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 8.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 10.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 11.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ Pushing a crate 4 m took 120 J of work. What force was used, in newtons?
- 13.🏋️ Pushing a crate 1 m took 120 J of work. What force was used, in newtons?
- 14.🏋️ A force of 370 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 15.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 16.🏋️ A 19 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 500 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 1100 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) no effort (d) the same effort
- 20.🏋️ A force of 200 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 21.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) load × effort (d) effort ÷ load
- 22.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) metre (m) (d) joule (J)
- 23.🏋️ An 18 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 25.🏋️ A machine lifts a load of 480 N when you push with 160 N. What is its mechanical advantage (MA)?
- 26.🏋️ 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)
- 27.🏋️ A 1 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.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A 20 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ Pushing a crate 7 m took 210 J of work. What force was used, in newtons?
- 31.🏋️ A force of 30 N did 210 J of work. How many metres did the object move?
- 32.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) only upwards (d) without moving it
- 33.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 34.🏋️ A 5 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A force of 70 N did 210 J of work. How many metres did the object move?
- 36.🏋️ A force of 20 N did 160 J of work. How many metres did the object move?
- 37.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A 14 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 500 N did 2500 J of work. How many metres did the object move?
Answer key
- 120
- 800
- 600
- 750
- no, work stays the same
- 2
- 850
- 100
- 2
- 2
- 350
- 30
- 120
- 1480
- 4
- 570
- 100
- 550
- less effort
- 400
- load ÷ effort
- joule (J)
- 540
- 2
- 3
- 450
- 30
- 750
- 400
- 30
- 7
- through a distance
- 2
- 150
- 3
- 8
- 900
- 700
- 6
- 5
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