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 force of 100 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 2.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3900 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 4.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) only on Mondays (d) yes, always
- 5.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ Pushing a crate 3 m took 1140 J of work. What force was used, in newtons?
- 8.🏋️ A force of 290 N did 870 J of work. How many metres did the object move?
- 9.🏋️ Pushing a crate 8 m took 2160 J of work. What force was used, in newtons?
- 10.🏋️ A 7 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 12.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) the same effort (d) no effort
- 13.🏋️ A machine lifts a load of 160 N when you push with 80 N. What is its mechanical advantage (MA)?
- 14.🏋️ A machine lifts a load of 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 15.🏋️ A force of 190 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 16.🏋️ Pushing a crate 8 m took 720 J of work. What force was used, in newtons?
- 17.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) effort ÷ load (c) load × effort (d) load + effort
- 18.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
- 19.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 20.🏋️ A force of 170 N did 1530 J of work. How many metres did the object move?
- 21.🏋️ 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)
- 22.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 23.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 24.🏋️ A force of 300 N did 1500 J of work. How many metres did the object move?
- 25.🏋️ A force of 480 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 26.🏋️ A 12 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ Pushing a crate 4 m took 1360 J of work. What force was used, in newtons?
- 28.🏋️ A force of 270 N did 2430 J of work. How many metres did the object move?
- 29.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 30.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 31.🏋️ Work is done when a force moves something … (a) very slowly (b) only upwards (c) without moving it (d) through a distance
- 32.🏋️ A force of 10 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 33.🏋️ A force of 220 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 34.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 35.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ Pushing a crate 3 m took 150 J of work. What force was used, in newtons?
- 38.🏋️ Pushing a crate 2 m took 620 J of work. What force was used, in newtons?
- 39.🏋️ Pushing a crate 6 m took 1860 J of work. What force was used, in newtons?
- 40.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
Answer key
- 100
- 650
- 2
- no, work stays the same
- 550
- 40
- 380
- 3
- 270
- 210
- 6
- less effort
- 2
- 4
- 380
- 90
- load ÷ effort
- 5
- 2
- 9
- 850
- 2
- joule (J)
- 5
- 960
- 360
- 340
- 9
- 3
- 4
- through a distance
- 60
- 1100
- 3
- 900
- 450
- 50
- 310
- 310
- 6
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