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 9 m along the floor. How much work is done, in joules?
- 2.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) newton (N) (d) metre (m)
- 3.🏋️ Pushing a crate 4 m took 360 J of work. What force was used, in newtons?
- 4.🏋️ A force of 70 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 5.🏋️ Pushing a crate 1 m took 450 J of work. What force was used, in newtons?
- 6.🏋️ A force of 290 N did 2030 J of work. How many metres did the object move?
- 7.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 8.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) less effort (d) more effort
- 9.🏋️ Pushing a crate 1 m took 490 J of work. What force was used, in newtons?
- 10.🏋️ A force of 60 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 420 N did 4200 J of work. How many metres did the object move?
- 12.🏋️ Pushing a crate 3 m took 570 J of work. What force was used, in newtons?
- 13.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 14.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1700 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ Pushing a crate 7 m took 3010 J of work. What force was used, in newtons?
- 16.🏋️ A force of 60 N did 540 J of work. How many metres did the object move?
- 17.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 18.🏋️ A 9 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 8 m took 2080 J of work. What force was used, in newtons?
- 20.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
- 21.🏋️ A force of 320 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 22.🏋️ A 19 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
- 24.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 210 N did 1890 J of work. How many metres did the object move?
- 26.🏋️ A force of 60 N did 180 J of work. How many metres did the object move?
- 27.🏋️ A force of 150 N did 450 J of work. How many metres did the object move?
- 28.🏋️ A machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
- 29.🏋️ Pushing a crate 9 m took 2160 J of work. What force was used, in newtons?
- 30.🏋️ Pushing a crate 7 m took 770 J of work. What force was used, in newtons?
- 31.🏋️ A force of 410 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 32.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A force of 440 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 34.🏋️ A 13 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A 20 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 37.🏋️ 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?
- 38.🏋️ 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
- 39.🏋️ Pushing a crate 3 m took 1290 J of work. What force was used, in newtons?
- 40.🏋️ A force of 420 N pushes a cart 1 m along the floor. How much work is done, in joules?
Answer key
- 3060
- joule (J)
- 90
- 140
- 450
- 7
- 3
- less effort
- 490
- 360
- 10
- 190
- through a distance
- 850
- 430
- 9
- 2
- 90
- 260
- 2
- 3200
- 380
- load ÷ effort
- 250
- 9
- 3
- 3
- 4
- 240
- 110
- 410
- 850
- 3080
- 130
- 200
- 4
- 40
- no, work stays the same
- 430
- 420
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