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.🏋️ An 18 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ 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
- 4.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 5.🏋️ 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?
- 6.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 7.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 8.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) only upwards (d) very slowly
- 9.🏋️ A 15 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 11.🏋️ A force of 470 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 70 N did 210 J of work. How many metres did the object move?
- 13.🏋️ A force of 450 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 14.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 15.🏋️ A 15 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 16.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ Pushing a crate 5 m took 1400 J of work. What force was used, in newtons?
- 19.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 21.🏋️ A machine lifts a load of 540 N when you push with 90 N. What is its mechanical advantage (MA)?
- 22.🏋️ A force of 10 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 23.🏋️ A machine lifts a load of 600 N when you push with 120 N. What is its mechanical advantage (MA)?
- 24.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 25.🏋️ Pushing a crate 2 m took 20 J of work. What force was used, in newtons?
- 26.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
- 27.🏋️ A force of 490 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 190 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 29.🏋️ A machine lifts a load of 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 30.🏋️ A machine lifts a load of 750 N when you push with 150 N. What is its mechanical advantage (MA)?
- 31.🏋️ A force of 410 N did 2460 J of work. How many metres did the object move?
- 32.🏋️ 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?
- 33.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
- 34.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) metre (m) (d) joule (J)
- 36.🏋️ A force of 450 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 37.🏋️ 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)
- 38.🏋️ A force of 330 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 39.🏋️ A force of 60 N did 300 J of work. How many metres did the object move?
- 40.🏋️ A force of 300 N pushes a cart 8 m along the floor. How much work is done, in joules?
Answer key
- 720
- 700
- no, work stays the same
- 4
- 680
- less effort
- 300
- through a distance
- 600
- 850
- 2820
- 3
- 1350
- 3
- 450
- 550
- 600
- 280
- 550
- 2
- 6
- 60
- 5
- 4
- 10
- load ÷ effort
- 1470
- 950
- 4
- 5
- 6
- 180
- 3
- 400
- joule (J)
- 900
- 650
- 660
- 5
- 2400
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