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.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) newton (N) (d) metre (m)
- 2.🏋️ Pushing a crate 6 m took 3000 J of work. What force was used, in newtons?
- 3.🏋️ A force of 70 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 110 N pushes a cart 1 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) no, work stays the same (d) yes, always
- 6.🏋️ A force of 490 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 7.🏋️ A force of 120 N did 960 J of work. How many metres did the object move?
- 8.🏋️ A force of 430 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 9.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) no effort (d) the same effort
- 10.🏋️ A force of 110 N did 330 J of work. How many metres did the object move?
- 11.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) through a distance (d) only upwards
- 13.🏋️ Pushing a crate 10 m took 2200 J of work. What force was used, in newtons?
- 14.🏋️ A force of 340 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 15.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 16.🏋️ A machine lifts a load of 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 190 N did 950 J of work. How many metres did the object move?
- 18.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ Pushing a crate 7 m took 3360 J of work. What force was used, in newtons?
- 20.🏋️ Pushing a crate 9 m took 2880 J of work. What force was used, in newtons?
- 21.🏋️ A force of 10 N did 20 J of work. How many metres did the object move?
- 22.🏋️ An 11 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 80 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 430 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 25.🏋️ 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?
- 26.🏋️ A force of 140 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 27.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 80 N did 480 J of work. How many metres did the object move?
- 29.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 410 N did 3690 J of work. How many metres did the object move?
- 31.🏋️ Pushing a crate 7 m took 2660 J of work. What force was used, in newtons?
- 32.🏋️ A force of 420 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 33.🏋️ Pushing a crate 6 m took 60 J of work. What force was used, in newtons?
- 34.🏋️ A force of 400 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 270 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 36.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 37.🏋️ Pushing a crate 8 m took 1520 J of work. What force was used, in newtons?
- 38.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A machine lifts a load of 760 N when you push with 190 N. What is its mechanical advantage (MA)?
- 40.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
Answer key
- joule (J)
- 500
- 420
- 110
- no, work stays the same
- 3430
- 8
- 430
- less effort
- 3
- 120
- through a distance
- 220
- 3400
- 6
- 6
- 5
- 850
- 480
- 320
- 2
- 440
- 560
- 1290
- 350
- 700
- 950
- 6
- 3
- 9
- 380
- 420
- 10
- 800
- 270
- 6
- 190
- 350
- 4
- 40
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