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 360 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 2.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) yes, by half (d) no, work stays the same
- 3.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 4.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 5.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) joule (J) (d) metre (m)
- 7.🏋️ A force of 410 N did 820 J of work. How many metres did the object move?
- 8.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) very slowly (d) without moving it
- 9.🏋️ A force of 310 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 10.🏋️ A 3 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ A force of 340 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 12.🏋️ Pushing a crate 6 m took 2520 J of work. What force was used, in newtons?
- 13.🏋️ A machine lifts a load of 120 N when you push with 30 N. What is its mechanical advantage (MA)?
- 14.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A force of 270 N did 270 J of work. How many metres did the object move?
- 16.🏋️ A force of 230 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 40 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 18.🏋️ Pushing a crate 7 m took 2730 J of work. What force was used, in newtons?
- 19.🏋️ Pushing a crate 9 m took 3150 J of work. What force was used, in newtons?
- 20.🏋️ Pushing a crate 6 m took 480 J of work. What force was used, in newtons?
- 21.🏋️ Pushing a crate 7 m took 3500 J of work. What force was used, in newtons?
- 22.🏋️ A force of 90 N did 270 J of work. How many metres did the object move?
- 23.🏋️ A longer ramp to the same height needs … (a) more effort (b) the same effort (c) no effort (d) less effort
- 24.🏋️ A 13 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.🏋️ Pushing a crate 6 m took 60 J of work. What force was used, in newtons?
- 26.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 27.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) load × effort (d) effort ÷ load
- 29.🏋️ Pushing a crate 10 m took 4500 J of work. What force was used, in newtons?
- 30.🏋️ A force of 110 N did 440 J of work. How many metres did the object move?
- 31.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 32.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A force of 20 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 34.🏋️ Pushing a crate 5 m took 1200 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 1 m took 400 J of work. What force was used, in newtons?
- 36.🏋️ A force of 290 N did 2900 J of work. How many metres did the object move?
- 37.🏋️ A machine lifts a load of 240 N when you push with 120 N. What is its mechanical advantage (MA)?
- 38.🏋️ An 18 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A machine lifts a load of 360 N when you push with 60 N. What is its mechanical advantage (MA)?
- 40.🏋️ Pushing a crate 8 m took 1760 J of work. What force was used, in newtons?
Answer key
- 1440
- no, work stays the same
- 2
- 4
- 650
- joule (J)
- 2
- through a distance
- 2480
- 150
- 1020
- 420
- 4
- 50
- 1
- 690
- 160
- 390
- 350
- 80
- 500
- 3
- less effort
- 260
- 10
- 4
- 100
- load ÷ effort
- 450
- 4
- 4
- 760
- 180
- 240
- 400
- 10
- 2
- 360
- 6
- 220
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