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 longer ramp to the same height needs … (a) no effort (b) less effort (c) the same effort (d) more effort
- 2.🏋️ A force of 140 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 3.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ An 8 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A force of 210 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 6.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ Pushing a crate 5 m took 2000 J of work. What force was used, in newtons?
- 8.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 9.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 10.🏋️ A 17 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 12.🏋️ An 11 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load ÷ effort (d) load + effort
- 14.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ Pushing a crate 5 m took 550 J of work. What force was used, in newtons?
- 16.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 210 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 18.🏋️ Pushing a crate 4 m took 1720 J of work. What force was used, in newtons?
- 19.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A machine lifts a load of 1140 N when you push with 190 N. What is its mechanical advantage (MA)?
- 21.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) through a distance (d) only upwards
- 22.🏋️ A force of 190 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 120 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 3 m took 810 J of work. What force was used, in newtons?
- 25.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 26.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ Pushing a crate 7 m took 1820 J of work. What force was used, in newtons?
- 28.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) joule (J) (d) metre (m)
- 30.🏋️ A force of 40 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 31.🏋️ A force of 210 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 200 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 130 N did 1040 J of work. How many metres did the object move?
- 34.🏋️ Pushing a crate 1 m took 350 J of work. What force was used, in newtons?
- 35.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 150 N did 150 J of work. How many metres did the object move?
- 37.🏋️ 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?
- 38.🏋️ A force of 270 N did 1620 J of work. How many metres did the object move?
- 39.🏋️ A force of 440 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 40.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- less effort
- 420
- 150
- 240
- 630
- 400
- 400
- no, work stays the same
- 5
- 340
- 3
- 220
- load ÷ effort
- 1000
- 110
- 2
- 840
- 430
- 250
- 6
- through a distance
- 570
- 360
- 270
- 6
- 950
- 260
- 550
- joule (J)
- 120
- 1680
- 1600
- 8
- 350
- 250
- 1
- 100
- 6
- 2200
- 1000
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