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.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) only on Mondays (d) yes, by half
- 2.🏋️ A force of 290 N did 2610 J of work. How many metres did the object move?
- 3.🏋️ A force of 240 N did 480 J of work. How many metres did the object move?
- 4.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) no effort (d) the same effort
- 5.🏋️ Pushing a crate 3 m took 990 J of work. What force was used, in newtons?
- 6.🏋️ A machine lifts a load of 600 N when you push with 120 N. What is its mechanical advantage (MA)?
- 7.🏋️ A force of 200 N did 1200 J of work. How many metres did the object move?
- 8.🏋️ A force of 440 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 9.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) very slowly (d) without moving it
- 10.🏋️ 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?
- 11.🏋️ A force of 180 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 450 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 220 N did 220 J of work. How many metres did the object move?
- 14.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 16.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 17.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 18.🏋️ A 17 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A 16 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ A force of 340 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 21.🏋️ A 16 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A machine lifts a load of 140 N when you push with 70 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 140 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 24.🏋️ A machine lifts a load of 400 N when you push with 200 N. What is its mechanical advantage (MA)?
- 25.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 26.🏋️ Pushing a crate 3 m took 600 J of work. What force was used, in newtons?
- 27.🏋️ A force of 140 N did 420 J of work. How many metres did the object move?
- 28.🏋️ A force of 380 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 29.🏋️ Pushing a crate 10 m took 900 J of work. What force was used, in newtons?
- 30.🏋️ A force of 30 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 31.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A force of 250 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 33.🏋️ Pushing a crate 5 m took 450 J of work. What force was used, in newtons?
- 34.🏋️ A 1 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ In which unit is work measured? (a) joule (J) (b) newton (N) (c) watt hour (d) metre (m)
- 36.🏋️ Pushing a crate 1 m took 270 J of work. What force was used, in newtons?
- 37.🏋️ A 5 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A machine lifts a load of 650 N when you push with 130 N. What is its mechanical advantage (MA)?
- 39.🏋️ A machine lifts a load of 600 N when you push with 150 N. What is its mechanical advantage (MA)?
- 40.🏋️ Pushing a crate 3 m took 210 J of work. What force was used, in newtons?
Answer key
- no, work stays the same
- 9
- 2
- less effort
- 330
- 5
- 6
- 4400
- through a distance
- 240
- 1440
- 4050
- 1
- 750
- 6
- 5
- 2
- 680
- 160
- 680
- 800
- 2
- 840
- 2
- load ÷ effort
- 200
- 3
- 1140
- 90
- 120
- 200
- 2250
- 90
- 50
- joule (J)
- 270
- 200
- 5
- 4
- 70
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