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 longer ramp to the same height needs … (a) no effort (b) less effort (c) the same effort (d) more effort
- 2.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 3.🏋️ A force of 240 N did 2160 J of work. How many metres did the object move?
- 4.🏋️ A force of 190 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 5.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
- 6.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 7.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 8.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) newton (N) (d) metre (m)
- 10.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) only upwards (d) without moving it
- 11.🏋️ A machine lifts a load of 500 N when you push with 100 N. What is its mechanical advantage (MA)?
- 12.🏋️ Pushing a crate 3 m took 270 J of work. What force was used, in newtons?
- 13.🏋️ Pushing a crate 10 m took 3400 J of work. What force was used, in newtons?
- 14.🏋️ Pushing a crate 1 m took 10 J of work. What force was used, in newtons?
- 15.🏋️ Pushing a crate 9 m took 4410 J of work. What force was used, in newtons?
- 16.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 17.🏋️ Pushing a crate 6 m took 2040 J of work. What force was used, in newtons?
- 18.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A force of 280 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 20.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A 9 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A force of 100 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 500 N did 1000 J of work. How many metres did the object move?
- 24.🏋️ Pushing a crate 8 m took 480 J of work. What force was used, in newtons?
- 25.🏋️ A machine lifts a load of 700 N when you push with 140 N. What is its mechanical advantage (MA)?
- 26.🏋️ A force of 70 N did 700 J of work. How many metres did the object move?
- 27.🏋️ 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?
- 28.🏋️ A 9 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ Pushing a crate 8 m took 2240 J of work. What force was used, in newtons?
- 30.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) yes, by half (d) no, work stays the same
- 31.🏋️ Pushing a crate 2 m took 560 J of work. What force was used, in newtons?
- 32.🏋️ A force of 200 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 33.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 34.🏋️ Pushing a crate 5 m took 1000 J of work. What force was used, in newtons?
- 35.🏋️ A force of 330 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 230 N did 230 J of work. How many metres did the object move?
- 37.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A 14 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
Answer key
- less effort
- load ÷ effort
- 9
- 380
- 6
- 3
- 4
- 350
- joule (J)
- through a distance
- 5
- 90
- 340
- 10
- 490
- 4
- 340
- 850
- 560
- 700
- 450
- 100
- 2
- 60
- 5
- 10
- 80
- 360
- 280
- no, work stays the same
- 280
- 400
- 2
- 200
- 1980
- 1
- 200
- 140
- 30
- 2
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