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 420 J of work. What force was used, in newtons?
- 2.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 3.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ Pushing a crate 3 m took 1230 J of work. What force was used, in newtons?
- 5.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 6.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) only upwards (d) very slowly
- 7.🏋️ A force of 40 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 8.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4250 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) only on Mondays (d) no, work stays the same
- 10.🏋️ A force of 130 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 11.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) less effort (d) more effort
- 12.🏋️ A force of 340 N did 340 J of work. How many metres did the object move?
- 13.🏋️ A 15 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ Pushing a crate 5 m took 1050 J of work. What force was used, in newtons?
- 15.🏋️ A force of 300 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 16.🏋️ A 12 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 18.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A 20 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ A force of 270 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 21.🏋️ A 5 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A force of 120 N did 480 J of work. How many metres did the object move?
- 23.🏋️ Pushing a crate 10 m took 500 J of work. What force was used, in newtons?
- 24.🏋️ A force of 370 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 260 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 26.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 27.🏋️ A force of 30 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 28.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 100 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 30.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
- 31.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A force of 420 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 33.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 34.🏋️ A force of 100 N did 1000 J of work. How many metres did the object move?
- 35.🏋️ A force of 140 N did 140 J of work. How many metres did the object move?
- 36.🏋️ A 9 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ An 8 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A force of 410 N did 2870 J of work. How many metres did the object move?
- 39.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 40.🏋️ A 13 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
- 60
- load ÷ effort
- 70
- 410
- joule (J)
- through a distance
- 320
- 850
- no, work stays the same
- 390
- less effort
- 1
- 750
- 210
- 2400
- 240
- 2
- 400
- 1000
- 1080
- 50
- 4
- 50
- 1480
- 2340
- 5
- 30
- 2
- 400
- 5
- 300
- 2520
- 4
- 10
- 1
- 180
- 160
- 7
- 4
- 130
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