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 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ 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)
- 3.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 4.🏋️ A force of 110 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 5.🏋️ A 19 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A force of 130 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 7.🏋️ Pushing a crate 3 m took 1470 J of work. What force was used, in newtons?
- 8.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ A 14 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 370 N did 2220 J of work. How many metres did the object move?
- 11.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) newton (N) (d) metre (m)
- 12.🏋️ Pushing a crate 8 m took 1680 J of work. What force was used, in newtons?
- 13.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) the same effort (d) more effort
- 16.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A machine lifts a load of 550 N when you push with 110 N. What is its mechanical advantage (MA)?
- 18.🏋️ A 13 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ Pushing a crate 8 m took 1600 J of work. What force was used, in newtons?
- 20.🏋️ A force of 320 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 21.🏋️ A force of 430 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 22.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) effort ÷ load (d) load ÷ effort
- 24.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ Pushing a crate 2 m took 180 J of work. What force was used, in newtons?
- 26.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 27.🏋️ Pushing a crate 9 m took 4500 J of work. What force was used, in newtons?
- 28.🏋️ A force of 360 N did 2880 J of work. How many metres did the object move?
- 29.🏋️ Pushing a crate 8 m took 480 J of work. What force was used, in newtons?
- 30.🏋️ A force of 270 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 490 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 370 N did 370 J of work. How many metres did the object move?
- 33.🏋️ A force of 200 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 34.🏋️ Pushing a crate 10 m took 4200 J of work. What force was used, in newtons?
- 35.🏋️ A force of 450 N did 1350 J of work. How many metres did the object move?
- 36.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 37.🏋️ Pushing a crate 5 m took 950 J of work. What force was used, in newtons?
- 38.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ Pushing a crate 6 m took 2340 J of work. What force was used, in newtons?
- 40.🏋️ A 9 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- 130
- 700
- 3
- 1100
- 190
- 1300
- 490
- 50
- 420
- 6
- joule (J)
- 210
- 800
- 200
- less effort
- 250
- 5
- 650
- 200
- 3200
- 1290
- 350
- load ÷ effort
- 450
- 90
- 6
- 500
- 8
- 60
- 270
- 3920
- 1
- 200
- 420
- 3
- through a distance
- 190
- 100
- 390
- 90
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