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 machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 2.🏋️ A force of 130 N did 130 J of work. How many metres did the object move?
- 3.🏋️ A 1 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 6.🏋️ 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?
- 7.🏋️ A force of 320 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 8.🏋️ A force of 50 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 70 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 10.🏋️ Pushing a crate 3 m took 1440 J of work. What force was used, in newtons?
- 11.🏋️ A force of 300 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 12.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) joule (J) (d) metre (m)
- 14.🏋️ A force of 70 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 15.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 17.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
- 18.🏋️ A force of 90 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 120 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 20.🏋️ Pushing a crate 9 m took 900 J of work. What force was used, in newtons?
- 21.🏋️ Pushing a crate 4 m took 1360 J of work. What force was used, in newtons?
- 22.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) more effort (d) the same effort
- 23.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 280 N did 280 J of work. How many metres did the object move?
- 25.🏋️ A force of 250 N did 1250 J of work. How many metres did the object move?
- 26.🏋️ Pushing a crate 2 m took 340 J of work. What force was used, in newtons?
- 27.🏋️ A force of 60 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 28.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 110 N did 550 J of work. How many metres did the object move?
- 31.🏋️ Pushing a crate 10 m took 5000 J of work. What force was used, in newtons?
- 32.🏋️ A force of 110 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 33.🏋️ 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
- 34.🏋️ Pushing a crate 3 m took 1290 J of work. What force was used, in newtons?
- 35.🏋️ A machine lifts a load of 900 N when you push with 150 N. What is its mechanical advantage (MA)?
- 36.🏋️ A force of 30 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 37.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load × effort (d) load + effort
- 38.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 39.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 40.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 2
- 1
- 40
- 200
- 3
- 50
- 1600
- 400
- 420
- 480
- 2700
- 100
- joule (J)
- 490
- 400
- through a distance
- 6
- 540
- 360
- 100
- 340
- less effort
- 200
- 1
- 5
- 170
- 240
- 40
- 2
- 5
- 500
- 880
- no, work stays the same
- 430
- 6
- 300
- load ÷ effort
- 3
- 3
- 550
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