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 force of 200 N did 200 J of work. How many metres did the object move?
- 2.🏋️ A force of 210 N did 210 J of work. How many metres did the object move?
- 3.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A force of 240 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 5.🏋️ 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
- 6.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) very slowly (d) without moving it
- 7.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 8.🏋️ A force of 270 N did 2160 J of work. How many metres did the object move?
- 9.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 10.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 11.🏋️ A force of 350 N did 1750 J of work. How many metres did the object move?
- 12.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 190 N did 760 J of work. How many metres did the object move?
- 14.🏋️ A force of 70 N did 700 J of work. How many metres did the object move?
- 15.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) the same effort (d) no effort
- 16.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) watt hour (d) joule (J)
- 17.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A force of 400 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 19.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 20.🏋️ 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)
- 21.🏋️ A 7 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ An 18 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A force of 380 N did 380 J of work. How many metres did the object move?
- 24.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load ÷ effort (d) load + effort
- 25.🏋️ Pushing a crate 2 m took 960 J of work. What force was used, in newtons?
- 26.🏋️ A force of 10 N did 80 J of work. How many metres did the object move?
- 27.🏋️ A force of 230 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 28.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 280 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 30.🏋️ A 3 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 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.🏋️ A 6 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A force of 150 N did 450 J of work. How many metres did the object move?
- 35.🏋️ Pushing a crate 4 m took 1400 J of work. What force was used, in newtons?
- 36.🏋️ 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?
- 37.🏋️ A force of 480 N did 2880 J of work. How many metres did the object move?
- 38.🏋️ Pushing a crate 4 m took 840 J of work. What force was used, in newtons?
- 39.🏋️ 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)
- 40.🏋️ A force of 390 N pushes a cart 10 m along the floor. How much work is done, in joules?
Answer key
- 1
- 1
- 500
- 480
- no, work stays the same
- through a distance
- 4
- 8
- 5
- 3
- 5
- 4
- 4
- 10
- less effort
- joule (J)
- 600
- 4000
- 2
- 200
- 350
- 720
- 1
- load ÷ effort
- 480
- 8
- 1610
- 6
- 1400
- 60
- 2
- 600
- 240
- 3
- 350
- 480
- 6
- 210
- 450
- 3900
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