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 machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 2.🏋️ A force of 280 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 3.🏋️ A force of 300 N did 900 J of work. How many metres did the object move?
- 4.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 5.🏋️ Pushing a crate 8 m took 2000 J of work. What force was used, in newtons?
- 6.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) without moving it (d) only upwards
- 8.🏋️ A force of 260 N did 2340 J of work. How many metres did the object move?
- 9.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) effort ÷ load (d) load + effort
- 10.🏋️ A 16 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 350 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 12.🏋️ 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
- 13.🏋️ A force of 90 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 14.🏋️ An 8 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.🏋️ In which unit is work measured? (a) joule (J) (b) newton (N) (c) metre (m) (d) watt hour
- 16.🏋️ A force of 480 N did 1920 J of work. How many metres did the object move?
- 17.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 20.🏋️ A force of 20 N did 200 J of work. How many metres did the object move?
- 21.🏋️ A force of 370 N did 740 J of work. How many metres did the object move?
- 22.🏋️ A force of 340 N did 2380 J of work. How many metres did the object move?
- 23.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ Pushing a crate 9 m took 4230 J of work. What force was used, in newtons?
- 25.🏋️ A force of 250 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 400 N did 3600 J of work. How many metres did the object move?
- 27.🏋️ Pushing a crate 4 m took 2000 J of work. What force was used, in newtons?
- 28.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 450 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 30.🏋️ 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?
- 31.🏋️ A force of 230 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 32.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ Pushing a crate 7 m took 70 J of work. What force was used, in newtons?
- 34.🏋️ 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?
- 35.🏋️ A force of 60 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 410 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 37.🏋️ A 12 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A force of 310 N did 2480 J of work. How many metres did the object move?
- 39.🏋️ A force of 20 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 300 N did 600 J of work. How many metres did the object move?
Answer key
- 4
- 1120
- 3
- 3
- 250
- 100
- through a distance
- 9
- load ÷ effort
- 160
- 2450
- no, work stays the same
- 180
- 400
- joule (J)
- 4
- 40
- 450
- 3
- 10
- 2
- 7
- 900
- 470
- 250
- 9
- 500
- 5
- 3150
- 60
- 1610
- 600
- 10
- 640
- 420
- 4100
- 480
- 8
- 80
- 2
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