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 70 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 2.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 3.🏋️ 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?
- 4.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 7.🏋️ Pushing a crate 5 m took 2100 J of work. What force was used, in newtons?
- 8.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 9.🏋️ A force of 160 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 10.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) through a distance (d) only upwards
- 11.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 12.🏋️ Pushing a crate 1 m took 280 J of work. What force was used, in newtons?
- 13.🏋️ A force of 470 N did 4700 J of work. How many metres did the object move?
- 14.🏋️ A force of 220 N did 440 J of work. How many metres did the object move?
- 15.🏋️ 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
- 16.🏋️ A longer ramp to the same height needs … (a) less effort (b) more effort (c) no effort (d) the same effort
- 17.🏋️ A machine lifts a load of 450 N when you push with 90 N. What is its mechanical advantage (MA)?
- 18.🏋️ A force of 110 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 120 N did 960 J of work. How many metres did the object move?
- 20.🏋️ A force of 10 N did 90 J of work. How many metres did the object move?
- 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 machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 23.🏋️ A machine lifts a load of 700 N when you push with 140 N. What is its mechanical advantage (MA)?
- 24.🏋️ A 5 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ Pushing a crate 1 m took 380 J of work. What force was used, in newtons?
- 26.🏋️ A machine lifts a load of 600 N when you push with 150 N. What is its mechanical advantage (MA)?
- 27.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 210 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 29.🏋️ A machine lifts a load of 600 N when you push with 120 N. What is its mechanical advantage (MA)?
- 30.🏋️ A force of 60 N did 300 J of work. How many metres did the object move?
- 31.🏋️ A force of 440 N did 440 J of work. How many metres did the object move?
- 32.🏋️ Pushing a crate 4 m took 360 J of work. What force was used, in newtons?
- 33.🏋️ An 18 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A force of 260 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 340 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 120 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 300 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 38.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A machine lifts a load of 900 N when you push with 150 N. What is its mechanical advantage (MA)?
- 40.🏋️ A force of 150 N did 150 J of work. How many metres did the object move?
Answer key
- 140
- 2
- 200
- 650
- 100
- joule (J)
- 420
- 2
- 800
- through a distance
- 5
- 280
- 10
- 2
- no, work stays the same
- less effort
- 5
- 110
- 8
- 9
- 50
- 4
- 5
- 150
- 380
- 4
- 250
- 1470
- 5
- 5
- 1
- 90
- 180
- 2600
- 340
- 1200
- 1200
- 1000
- 6
- 1
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