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 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A force of 290 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 3.🏋️ 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
- 4.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) more effort (d) less effort
- 5.🏋️ A 7 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A machine lifts a load of 400 N when you push with 100 N. What is its mechanical advantage (MA)?
- 8.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Work is done when a force moves something … (a) only upwards (b) without moving it (c) through a distance (d) very slowly
- 10.🏋️ A force of 260 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 220 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 12.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 450 N did 2250 J of work. How many metres did the object move?
- 14.🏋️ A 2 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A 4 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ Pushing a crate 2 m took 740 J of work. What force was used, in newtons?
- 17.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) joule (J) (d) metre (m)
- 18.🏋️ Pushing a crate 10 m took 4500 J of work. What force was used, in newtons?
- 19.🏋️ A force of 260 N did 1820 J of work. How many metres did the object move?
- 20.🏋️ A force of 330 N did 2640 J of work. How many metres did the object move?
- 21.🏋️ A machine lifts a load of 760 N when you push with 190 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 270 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 23.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ 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?
- 25.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load ÷ effort (d) load × effort
- 26.🏋️ A machine lifts a load of 300 N when you push with 150 N. What is its mechanical advantage (MA)?
- 27.🏋️ A force of 120 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 460 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 29.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
- 30.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 290 N did 1160 J of work. How many metres did the object move?
- 32.🏋️ Pushing a crate 5 m took 500 J of work. What force was used, in newtons?
- 33.🏋️ Pushing a crate 8 m took 2320 J of work. What force was used, in newtons?
- 34.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 35.🏋️ Pushing a crate 1 m took 390 J of work. What force was used, in newtons?
- 36.🏋️ Pushing a crate 6 m took 1320 J of work. What force was used, in newtons?
- 37.🏋️ A force of 460 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 490 N did 1470 J of work. How many metres did the object move?
- 39.🏋️ A force of 490 N did 490 J of work. How many metres did the object move?
- 40.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
Answer key
- 600
- 1160
- no, work stays the same
- less effort
- 280
- 300
- 4
- 850
- through a distance
- 2080
- 1540
- 6
- 5
- 80
- 200
- 370
- joule (J)
- 450
- 7
- 8
- 4
- 810
- 650
- 80
- load ÷ effort
- 2
- 1080
- 920
- 6
- 550
- 4
- 100
- 290
- 2
- 390
- 220
- 2760
- 3
- 1
- 5
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