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.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 2.🏋️ 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
- 3.🏋️ A force of 10 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 4.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 5.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) metre (m) (d) newton (N)
- 7.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 8.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 9.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 10.🏋️ Pushing a crate 2 m took 780 J of work. What force was used, in newtons?
- 11.🏋️ 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?
- 12.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A force of 160 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 14.🏋️ A machine lifts a load of 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 15.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A force of 440 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 17.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 18.🏋️ A force of 70 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 220 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 210 N did 1680 J of work. How many metres did the object move?
- 21.🏋️ Pushing a crate 1 m took 380 J of work. What force was used, in newtons?
- 22.🏋️ A force of 230 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 23.🏋️ A force of 80 N did 800 J of work. How many metres did the object move?
- 24.🏋️ A force of 250 N did 750 J of work. How many metres did the object move?
- 25.🏋️ A force of 340 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 26.🏋️ 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)
- 27.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 28.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A 15 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A force of 200 N did 1400 J of work. How many metres did the object move?
- 31.🏋️ Pushing a crate 1 m took 470 J of work. What force was used, in newtons?
- 32.🏋️ Pushing a crate 7 m took 2800 J of work. What force was used, in newtons?
- 33.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) less effort (d) the same effort
- 34.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 35.🏋️ Pushing a crate 7 m took 2520 J of work. What force was used, in newtons?
- 36.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 37.🏋️ Pushing a crate 1 m took 210 J of work. What force was used, in newtons?
- 38.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 40.🏋️ A 1 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
- load ÷ effort
- no, work stays the same
- 100
- 5
- 50
- joule (J)
- 3
- through a distance
- 6
- 390
- 140
- 800
- 960
- 6
- 800
- 3520
- 2
- 560
- 1760
- 8
- 380
- 690
- 10
- 3
- 3060
- 850
- 4
- 750
- 150
- 7
- 470
- 400
- less effort
- 4
- 360
- 2
- 210
- 650
- 6
- 10
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