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) more effort (d) the same effort
- 2.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) joule (J) (d) watt hour
- 4.🏋️ 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?
- 5.🏋️ A force of 250 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 6.🏋️ 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?
- 7.🏋️ 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?
- 8.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) load + effort (d) effort ÷ load
- 9.🏋️ A force of 380 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 10.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) yes, always (d) no, work stays the same
- 11.🏋️ A 13 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ Pushing a crate 2 m took 40 J of work. What force was used, in newtons?
- 13.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 15.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3300 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 18.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 450 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A force of 450 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 120 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 21.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) through a distance (d) without moving it
- 22.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 330 N did 990 J of work. How many metres did the object move?
- 24.🏋️ Pushing a crate 3 m took 960 J of work. What force was used, in newtons?
- 25.🏋️ A 7 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 27.🏋️ Pushing a crate 5 m took 2250 J of work. What force was used, in newtons?
- 28.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 330 N did 1650 J of work. How many metres did the object move?
- 30.🏋️ An 11 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
- 32.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ Pushing a crate 8 m took 880 J of work. What force was used, in newtons?
- 34.🏋️ A force of 30 N did 270 J of work. How many metres did the object move?
- 35.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 36.🏋️ A force of 40 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 37.🏋️ Pushing a crate 8 m took 3200 J of work. What force was used, in newtons?
- 38.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 210 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 40.🏋️ Pushing a crate 1 m took 450 J of work. What force was used, in newtons?
Answer key
- less effort
- 1000
- joule (J)
- 320
- 500
- 100
- 150
- load ÷ effort
- 1140
- no, work stays the same
- 390
- 20
- 250
- 2
- 200
- 550
- 2
- 150
- 450
- 360
- through a distance
- 250
- 3
- 320
- 280
- 2
- 450
- 4
- 5
- 440
- 6
- 150
- 110
- 9
- 2
- 80
- 400
- 2
- 1260
- 450
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