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 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 2.🏋️ A force of 480 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 3.🏋️ A force of 310 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 260 N did 260 J of work. How many metres did the object move?
- 5.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 6.🏋️ A force of 150 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 7.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ A force of 170 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 390 N did 3120 J of work. How many metres did the object move?
- 10.🏋️ Pushing a crate 6 m took 2040 J of work. What force was used, in newtons?
- 11.🏋️ A force of 30 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 12.🏋️ A machine lifts a load of 450 N when you push with 90 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 480 N did 2880 J of work. How many metres did the object move?
- 14.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 16.🏋️ A force of 330 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 17.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 18.🏋️ A force of 280 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 19.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) less effort (d) more effort
- 21.🏋️ A force of 390 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 22.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 23.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A machine lifts a load of 540 N when you push with 90 N. What is its mechanical advantage (MA)?
- 25.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) no, work stays the same (c) yes, always (d) only on Mondays
- 26.🏋️ Pushing a crate 4 m took 1640 J of work. What force was used, in newtons?
- 27.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load × effort (d) load ÷ effort
- 29.🏋️ A force of 70 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 30.🏋️ Pushing a crate 2 m took 360 J of work. What force was used, in newtons?
- 31.🏋️ Pushing a crate 1 m took 420 J of work. What force was used, in newtons?
- 32.🏋️ A force of 50 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 33.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2600 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ Pushing a crate 3 m took 210 J of work. What force was used, in newtons?
- 35.🏋️ A force of 180 N did 1620 J of work. How many metres did the object move?
- 36.🏋️ A force of 160 N did 160 J of work. How many metres did the object move?
- 37.🏋️ A 15 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A force of 230 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 39.🏋️ Pushing a crate 10 m took 1100 J of work. What force was used, in newtons?
- 40.🏋️ Pushing a crate 2 m took 1000 J of work. What force was used, in newtons?
Answer key
- 3
- 960
- 310
- 1
- joule (J)
- 1200
- 500
- 170
- 8
- 340
- 30
- 5
- 6
- 750
- through a distance
- 330
- 5
- 840
- 800
- less effort
- 2730
- 3
- 650
- 6
- no, work stays the same
- 410
- 850
- load ÷ effort
- 490
- 180
- 420
- 200
- 650
- 70
- 9
- 1
- 750
- 1380
- 110
- 500
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