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.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) effort ÷ load (d) load ÷ effort
- 2.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) the same effort (d) less effort
- 3.🏋️ A machine lifts a load of 200 N when you push with 50 N. What is its mechanical advantage (MA)?
- 4.🏋️ A force of 340 N did 1700 J of work. How many metres did the object move?
- 5.🏋️ A 3 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.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) only upwards (d) without moving it
- 7.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A force of 70 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 500 N did 4500 J of work. How many metres did the object move?
- 10.🏋️ Pushing a crate 7 m took 1400 J of work. What force was used, in newtons?
- 11.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A 16 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 14.🏋️ Pushing a crate 4 m took 1520 J of work. What force was used, in newtons?
- 15.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3200 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 17.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 18.🏋️ Pushing a crate 5 m took 1650 J of work. What force was used, in newtons?
- 19.🏋️ A force of 30 N did 240 J of work. How many metres did the object move?
- 20.🏋️ A force of 140 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 21.🏋️ Pushing a crate 2 m took 720 J of work. What force was used, in newtons?
- 22.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 450 N did 2250 J of work. How many metres did the object move?
- 24.🏋️ Pushing a crate 8 m took 3360 J of work. What force was used, in newtons?
- 25.🏋️ A machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
- 26.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A machine lifts a load of 760 N when you push with 190 N. What is its mechanical advantage (MA)?
- 28.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, always (d) yes, by half
- 29.🏋️ Pushing a crate 9 m took 3780 J of work. What force was used, in newtons?
- 30.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 31.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ Pushing a crate 4 m took 1120 J of work. What force was used, in newtons?
- 33.🏋️ Pushing a crate 1 m took 90 J of work. What force was used, in newtons?
- 34.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) joule (J) (d) newton (N)
- 37.🏋️ 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)
- 38.🏋️ Pushing a crate 3 m took 210 J of work. What force was used, in newtons?
- 39.🏋️ A 20 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A force of 480 N pushes a cart 10 m along the floor. How much work is done, in joules?
Answer key
- load ÷ effort
- less effort
- 4
- 5
- 30
- through a distance
- 40
- 210
- 9
- 200
- 400
- 160
- 6
- 380
- 800
- 5
- 6
- 330
- 8
- 1260
- 360
- 4
- 5
- 420
- 4
- 500
- 4
- no, work stays the same
- 420
- 3
- 200
- 280
- 90
- 1000
- 450
- joule (J)
- 250
- 70
- 400
- 4800
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