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.🏋️ Pushing a crate 7 m took 1610 J of work. What force was used, in newtons?
- 2.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 3.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ 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?
- 5.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) joule (J) (d) metre (m)
- 6.🏋️ A force of 300 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 7.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 8.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Pushing a crate 9 m took 540 J of work. What force was used, in newtons?
- 10.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) very slowly (d) through a distance
- 11.🏋️ Pushing a crate 5 m took 1250 J of work. What force was used, in newtons?
- 12.🏋️ Pushing a crate 3 m took 1260 J of work. What force was used, in newtons?
- 13.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 14.🏋️ A force of 150 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 15.🏋️ A force of 310 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 16.🏋️ A force of 170 N did 1020 J of work. How many metres did the object move?
- 17.🏋️ Pushing a crate 2 m took 720 J of work. What force was used, in newtons?
- 18.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load ÷ effort (d) load + effort
- 19.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) no effort (d) more effort
- 20.🏋️ A force of 180 N did 540 J of work. How many metres did the object move?
- 21.🏋️ 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
- 22.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 23.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2850 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 30 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 25.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ Pushing a crate 8 m took 1600 J of work. What force was used, in newtons?
- 27.🏋️ A force of 10 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 28.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A force of 340 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 30.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 230 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 32.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 33.🏋️ Pushing a crate 9 m took 1170 J of work. What force was used, in newtons?
- 34.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 35.🏋️ Pushing a crate 8 m took 1280 J of work. What force was used, in newtons?
- 36.🏋️ A force of 420 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 330 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 38.🏋️ A machine lifts a load of 600 N when you push with 120 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 250 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 40.🏋️ Pushing a crate 1 m took 490 J of work. What force was used, in newtons?
Answer key
- 230
- 2
- 600
- 120
- joule (J)
- 300
- 2
- 150
- 60
- through a distance
- 250
- 420
- 2
- 1050
- 620
- 6
- 360
- load ÷ effort
- less effort
- 3
- no, work stays the same
- 6
- 950
- 180
- 300
- 200
- 30
- 850
- 1700
- 550
- 230
- 2
- 130
- 4
- 160
- 1260
- 330
- 5
- 2000
- 490
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