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 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?
- 2.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 3.🏋️ A force of 350 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 170 N did 1020 J of work. How many metres did the object move?
- 5.🏋️ A force of 110 N did 220 J of work. How many metres did the object move?
- 6.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 7.🏋️ A force of 360 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 8.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 9.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) joule (J) (d) metre (m)
- 11.🏋️ Pushing a crate 2 m took 120 J of work. What force was used, in newtons?
- 12.🏋️ A force of 50 N did 250 J of work. How many metres did the object move?
- 13.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) yes, always (d) no, work stays the same
- 14.🏋️ An 11 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A force of 50 N did 100 J of work. How many metres did the object move?
- 17.🏋️ A 3 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ Pushing a crate 4 m took 1160 J of work. What force was used, in newtons?
- 20.🏋️ An 11 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A force of 10 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 22.🏋️ A force of 460 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 23.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 320 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 25.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) only upwards (d) without moving it
- 26.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) more effort (d) less effort
- 27.🏋️ Pushing a crate 7 m took 2240 J of work. What force was used, in newtons?
- 28.🏋️ A 10 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ Pushing a crate 2 m took 380 J of work. What force was used, in newtons?
- 30.🏋️ A force of 270 N did 1890 J of work. How many metres did the object move?
- 31.🏋️ A 19 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A force of 340 N did 2720 J of work. How many metres did the object move?
- 33.🏋️ A force of 270 N did 810 J of work. How many metres did the object move?
- 34.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ Pushing a crate 5 m took 1200 J of work. What force was used, in newtons?
- 36.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 37.🏋️ A machine lifts a load of 570 N when you push with 190 N. What is its mechanical advantage (MA)?
- 38.🏋️ Pushing a crate 6 m took 1320 J of work. What force was used, in newtons?
- 39.🏋️ A machine lifts a load of 1000 N when you push with 200 N. What is its mechanical advantage (MA)?
- 40.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 80
- load ÷ effort
- 350
- 6
- 2
- 3
- 1080
- 2
- 900
- joule (J)
- 60
- 5
- no, work stays the same
- 550
- 100
- 2
- 60
- 50
- 290
- 440
- 30
- 1380
- 750
- 2240
- through a distance
- less effort
- 320
- 400
- 190
- 7
- 380
- 8
- 3
- 700
- 240
- 5
- 3
- 220
- 5
- 400
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