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 12 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A machine lifts a load of 280 N when you push with 140 N. What is its mechanical advantage (MA)?
- 3.🏋️ A force of 140 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 4.🏋️ A machine lifts a load of 570 N when you push with 190 N. What is its mechanical advantage (MA)?
- 5.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 6.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 7.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 8.🏋️ A force of 190 N did 190 J of work. How many metres did the object move?
- 9.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) no effort (d) the same effort
- 10.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 11.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load ÷ effort (d) load × effort
- 12.🏋️ Pushing a crate 9 m took 1710 J of work. What force was used, in newtons?
- 13.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) metre (m) (d) joule (J)
- 14.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) yes, always (c) no, work stays the same (d) only on Mondays
- 15.🏋️ A machine lifts a load of 300 N when you push with 50 N. What is its mechanical advantage (MA)?
- 16.🏋️ 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)
- 17.🏋️ A force of 160 N did 800 J of work. How many metres did the object move?
- 18.🏋️ Pushing a crate 2 m took 740 J of work. What force was used, in newtons?
- 19.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 20.🏋️ A 16 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A force of 270 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 22.🏋️ A machine lifts a load of 600 N when you push with 100 N. What is its mechanical advantage (MA)?
- 23.🏋️ 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?
- 24.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 25.🏋️ Pushing a crate 1 m took 270 J of work. What force was used, in newtons?
- 26.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 27.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 28.🏋️ A force of 340 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 29.🏋️ Pushing a crate 9 m took 2070 J of work. What force was used, in newtons?
- 30.🏋️ Pushing a crate 3 m took 1200 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 2550 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ Pushing a crate 7 m took 2380 J of work. What force was used, in newtons?
- 33.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 4000 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A force of 80 N did 560 J of work. How many metres did the object move?
- 35.🏋️ A force of 480 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 36.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A force of 280 N did 1680 J of work. How many metres did the object move?
- 38.🏋️ A force of 270 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 39.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 40.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
Answer key
- 120
- 2
- 560
- 3
- through a distance
- 5
- 4
- 1
- less effort
- 6
- load ÷ effort
- 190
- joule (J)
- no, work stays the same
- 6
- 350
- 5
- 370
- 6
- 160
- 2700
- 6
- 150
- 2
- 270
- 400
- 6
- 3400
- 230
- 400
- 850
- 340
- 1000
- 7
- 1920
- 850
- 6
- 1890
- 4
- 2
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