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.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) yes, always (d) no, work stays the same
- 2.🏋️ A 20 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ A force of 60 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 4.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 5.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) joule (J) (d) metre (m)
- 6.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A 5 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 9.🏋️ Pushing a crate 1 m took 470 J of work. What force was used, in newtons?
- 10.🏋️ Pushing a crate 1 m took 230 J of work. What force was used, in newtons?
- 11.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load + effort (d) load ÷ effort
- 12.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) less effort (d) no effort
- 13.🏋️ A force of 390 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 14.🏋️ A 19 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 16.🏋️ A force of 210 N did 2100 J of work. How many metres did the object move?
- 17.🏋️ A force of 120 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 18.🏋️ Pushing a crate 7 m took 910 J of work. What force was used, in newtons?
- 19.🏋️ A force of 170 N did 1020 J of work. How many metres did the object move?
- 20.🏋️ A 1 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 180 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 180 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 24.🏋️ A 3 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A 7 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ An 8 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A 17 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 30.🏋️ Pushing a crate 3 m took 1470 J of work. What force was used, in newtons?
- 31.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 33.🏋️ Pushing a crate 7 m took 770 J of work. What force was used, in newtons?
- 34.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A force of 450 N did 2700 J of work. How many metres did the object move?
- 36.🏋️ A force of 80 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 180 N did 180 J of work. How many metres did the object move?
- 38.🏋️ A machine lifts a load of 850 N when you push with 170 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 160 N did 800 J of work. How many metres did the object move?
- 40.🏋️ A force of 480 N did 3360 J of work. How many metres did the object move?
Answer key
- no, work stays the same
- 600
- 540
- 2
- joule (J)
- 800
- 150
- 2
- 470
- 230
- load ÷ effort
- less effort
- 780
- 950
- 2
- 10
- 120
- 130
- 6
- 20
- 3
- 1260
- 1440
- 120
- 140
- 550
- 400
- 850
- through a distance
- 490
- 50
- 3
- 110
- 80
- 6
- 240
- 1
- 5
- 5
- 7
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