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 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?
- 2.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 3.🏋️ A 16 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A force of 110 N did 660 J of work. How many metres did the object move?
- 6.🏋️ Pushing a crate 3 m took 600 J of work. What force was used, in newtons?
- 7.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 8.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) metre (m) (d) newton (N)
- 9.🏋️ A 15 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A force of 470 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 11.🏋️ Pushing a crate 3 m took 1500 J of work. What force was used, in newtons?
- 12.🏋️ A force of 380 N did 760 J of work. How many metres did the object move?
- 13.🏋️ A machine lifts a load of 600 N when you push with 120 N. What is its mechanical advantage (MA)?
- 14.🏋️ Pushing a crate 10 m took 4800 J of work. What force was used, in newtons?
- 15.🏋️ A force of 30 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 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 4 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A machine lifts a load of 540 N when you push with 90 N. What is its mechanical advantage (MA)?
- 19.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) only on Mondays (d) no, work stays the same
- 20.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 21.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A 15 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) through a distance (d) very slowly
- 24.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load + effort (d) load × effort
- 25.🏋️ Pushing a crate 1 m took 320 J of work. What force was used, in newtons?
- 26.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 27.🏋️ Pushing a crate 2 m took 20 J of work. What force was used, in newtons?
- 28.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4750 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A 2 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A force of 100 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 31.🏋️ A machine lifts a load of 550 N when you push with 110 N. What is its mechanical advantage (MA)?
- 32.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3900 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A 20 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.🏋️ Pushing a crate 1 m took 480 J of work. What force was used, in newtons?
- 36.🏋️ A force of 320 N did 320 J of work. How many metres did the object move?
- 37.🏋️ A force of 250 N did 250 J of work. How many metres did the object move?
- 38.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 39.🏋️ 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?
- 40.🏋️ A 16 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 570
- 6
- 640
- 50
- 6
- 200
- less effort
- joule (J)
- 450
- 470
- 500
- 2
- 5
- 480
- 30
- 450
- 160
- 6
- no, work stays the same
- 6
- 700
- 150
- through a distance
- load ÷ effort
- 320
- 6
- 10
- 950
- 60
- 900
- 5
- 200
- 650
- 600
- 480
- 1
- 1
- 2
- 110
- 320
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