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.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) yes, always (d) only on Mondays
- 2.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ Pushing a crate 10 m took 1900 J of work. What force was used, in newtons?
- 4.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) effort ÷ load (d) load + effort
- 5.🏋️ A force of 300 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 6.🏋️ Pushing a crate 9 m took 2700 J of work. What force was used, in newtons?
- 7.🏋️ A force of 50 N did 350 J of work. How many metres did the object move?
- 8.🏋️ Pushing a crate 1 m took 410 J of work. What force was used, in newtons?
- 9.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ Pushing a crate 2 m took 640 J of work. What force was used, in newtons?
- 11.🏋️ 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?
- 12.🏋️ A force of 470 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 13.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) very slowly (d) without moving it
- 14.🏋️ A force of 100 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 15.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) no effort (d) the same effort
- 16.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 18.🏋️ A 3 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A 14 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 21.🏋️ A force of 300 N did 600 J of work. How many metres did the object move?
- 22.🏋️ A force of 190 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 23.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 24.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 25.🏋️ A force of 30 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 140 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 27.🏋️ A force of 220 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 28.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 29.🏋️ 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?
- 30.🏋️ A force of 130 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 31.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A force of 370 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 350 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 50 N did 100 J of work. How many metres did the object move?
- 35.🏋️ Pushing a crate 3 m took 1170 J of work. What force was used, in newtons?
- 36.🏋️ Pushing a crate 8 m took 3600 J of work. What force was used, in newtons?
- 37.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 390 N did 390 J of work. How many metres did the object move?
Answer key
- no, work stays the same
- 900
- 190
- load ÷ effort
- 2400
- 300
- 7
- 410
- 450
- 320
- 350
- 1410
- through a distance
- 300
- less effort
- 600
- 5
- 90
- 560
- joule (J)
- 2
- 1140
- 5
- 5
- 60
- 1260
- 1760
- 2
- 100
- 390
- 700
- 1110
- 2100
- 2
- 390
- 450
- 300
- 300
- 2
- 1
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