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 280 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 2.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) newton (N) (d) watt hour
- 5.🏋️ A force of 260 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 6.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 7.🏋️ 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?
- 8.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load + effort (d) load × effort
- 9.🏋️ A force of 490 N did 3920 J of work. How many metres did the object move?
- 10.🏋️ A 5 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 210 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 12.🏋️ A 3 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ A force of 50 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 14.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) less effort (d) no effort
- 16.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, by half (c) only on Mondays (d) yes, always
- 17.🏋️ A force of 500 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 18.🏋️ An 8 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ Pushing a crate 9 m took 810 J of work. What force was used, in newtons?
- 20.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 21.🏋️ A force of 430 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 22.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 130 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 24.🏋️ Pushing a crate 7 m took 1050 J of work. What force was used, in newtons?
- 25.🏋️ A 19 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A force of 410 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 27.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 28.🏋️ A force of 80 N did 240 J of work. How many metres did the object move?
- 29.🏋️ A force of 150 N did 300 J of work. How many metres did the object move?
- 30.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ Pushing a crate 2 m took 560 J of work. What force was used, in newtons?
- 32.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A force of 470 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 34.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 35.🏋️ Pushing a crate 7 m took 2800 J of work. What force was used, in newtons?
- 36.🏋️ A force of 40 N did 80 J of work. How many metres did the object move?
- 37.🏋️ An 18 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 470 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 39.🏋️ Pushing a crate 9 m took 900 J of work. What force was used, in newtons?
- 40.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 2520
- 850
- 650
- joule (J)
- 1560
- through a distance
- 450
- load ÷ effort
- 8
- 100
- 1890
- 90
- 350
- 650
- less effort
- no, work stays the same
- 1000
- 400
- 90
- 3
- 1290
- 3
- 130
- 150
- 760
- 410
- 5
- 3
- 2
- 550
- 280
- 250
- 3290
- 6
- 400
- 2
- 900
- 1410
- 100
- 150
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