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 400 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 2.🏋️ A force of 110 N did 1100 J of work. How many metres did the object move?
- 3.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) the same effort (d) less effort
- 4.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 700 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 6.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) only upwards (d) very slowly
- 7.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A machine lifts a load of 480 N when you push with 120 N. What is its mechanical advantage (MA)?
- 9.🏋️ A force of 90 N pushes a cart 2 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) yes, always (c) only on Mondays (d) no, work stays the same
- 11.🏋️ A force of 460 N did 460 J of work. How many metres did the object move?
- 12.🏋️ A force of 190 N did 380 J of work. How many metres did the object move?
- 13.🏋️ An 8 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ Pushing a crate 6 m took 2340 J of work. What force was used, in newtons?
- 15.🏋️ Pushing a crate 2 m took 240 J of work. What force was used, in newtons?
- 16.🏋️ A force of 10 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 10 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 18.🏋️ 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?
- 19.🏋️ Pushing a crate 2 m took 320 J of work. What force was used, in newtons?
- 20.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 21.🏋️ Pushing a crate 10 m took 4300 J of work. What force was used, in newtons?
- 22.🏋️ A 12 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A force of 480 N did 3840 J of work. How many metres did the object move?
- 24.🏋️ A force of 330 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 25.🏋️ Pushing a crate 3 m took 1080 J of work. What force was used, in newtons?
- 26.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) watt hour (d) metre (m)
- 27.🏋️ A force of 420 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 320 N did 960 J of work. How many metres did the object move?
- 29.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) effort ÷ load (d) load ÷ effort
- 34.🏋️ A force of 230 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 35.🏋️ Pushing a crate 6 m took 720 J of work. What force was used, in newtons?
- 36.🏋️ 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?
- 37.🏋️ A machine lifts a load of 720 N when you push with 180 N. What is its mechanical advantage (MA)?
- 38.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A force of 270 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 440 N did 3520 J of work. How many metres did the object move?
Answer key
- 3200
- 10
- less effort
- 350
- 2
- through a distance
- 750
- 4
- 180
- no, work stays the same
- 1
- 2
- 320
- 390
- 120
- 80
- 50
- 160
- 160
- 6
- 430
- 360
- 8
- 2970
- 360
- joule (J)
- 3780
- 3
- 70
- 950
- 200
- 50
- load ÷ effort
- 690
- 120
- 720
- 4
- 750
- 1080
- 8
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