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 340 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 2.🏋️ Pushing a crate 3 m took 990 J of work. What force was used, in newtons?
- 3.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 4.🏋️ Pushing a crate 2 m took 240 J of work. What force was used, in newtons?
- 5.🏋️ 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?
- 6.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 7.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 8.🏋️ A force of 190 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 290 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 10.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) more effort (d) less effort
- 11.🏋️ A force of 290 N did 1160 J of work. How many metres did the object move?
- 12.🏋️ Pushing a crate 8 m took 1360 J of work. What force was used, in newtons?
- 13.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) without moving it (d) very slowly
- 14.🏋️ Pushing a crate 10 m took 2200 J of work. What force was used, in newtons?
- 15.🏋️ A machine lifts a load of 600 N when you push with 120 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 430 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 210 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 18.🏋️ A force of 340 N did 1700 J of work. How many metres did the object move?
- 19.🏋️ A 10 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ A force of 60 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 21.🏋️ Pushing a crate 10 m took 3100 J of work. What force was used, in newtons?
- 22.🏋️ A 16 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 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)
- 24.🏋️ A force of 330 N did 330 J of work. How many metres did the object move?
- 25.🏋️ Pushing a crate 2 m took 960 J of work. What force was used, in newtons?
- 26.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A force of 170 N did 170 J of work. How many metres did the object move?
- 28.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) yes, by half (d) no, work stays the same
- 29.🏋️ Pushing a crate 1 m took 70 J of work. What force was used, in newtons?
- 30.🏋️ A force of 240 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 31.🏋️ Pushing a crate 10 m took 900 J of work. What force was used, in newtons?
- 32.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 33.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A force of 120 N did 480 J of work. How many metres did the object move?
- 35.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ Pushing a crate 9 m took 1800 J of work. What force was used, in newtons?
- 37.🏋️ A 14 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 39.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load ÷ effort (d) load + effort
Answer key
- 2720
- 330
- joule (J)
- 120
- 320
- 2
- 2
- 1330
- 2900
- less effort
- 4
- 170
- through a distance
- 220
- 5
- 3870
- 1680
- 5
- 500
- 120
- 310
- 640
- 700
- 1
- 480
- 950
- 1
- no, work stays the same
- 70
- 1440
- 90
- 6
- 900
- 4
- 400
- 200
- 280
- 5
- 450
- load ÷ effort
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