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 20 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A 17 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ Pushing a crate 7 m took 420 J of work. What force was used, in newtons?
- 4.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A force of 380 N did 760 J of work. How many metres did the object move?
- 6.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ Pushing a crate 1 m took 180 J of work. What force was used, in newtons?
- 8.🏋️ A machine lifts a load of 480 N when you push with 120 N. What is its mechanical advantage (MA)?
- 9.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 10.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 11.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) less effort (d) the same effort
- 12.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 13.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ In which unit is work measured? (a) metre (m) (b) joule (J) (c) watt hour (d) newton (N)
- 16.🏋️ A force of 420 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 240 N did 480 J of work. How many metres did the object move?
- 18.🏋️ Pushing a crate 2 m took 760 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 5000 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 21.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3300 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ Pushing a crate 9 m took 2520 J of work. What force was used, in newtons?
- 23.🏋️ A machine lifts a load of 440 N when you push with 110 N. What is its mechanical advantage (MA)?
- 24.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 290 N did 1450 J of work. How many metres did the object move?
- 26.🏋️ Pushing a crate 7 m took 490 J of work. What force was used, in newtons?
- 27.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) no, work stays the same (d) yes, always
- 28.🏋️ A force of 390 N did 780 J of work. How many metres did the object move?
- 29.🏋️ A 14 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 32.🏋️ A 19 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 280 N when you push with 140 N. What is its mechanical advantage (MA)?
- 34.🏋️ Pushing a crate 3 m took 1410 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 1 m took 100 J of work. What force was used, in newtons?
- 36.🏋️ A machine lifts a load of 360 N when you push with 90 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 460 N did 920 J of work. How many metres did the object move?
- 38.🏋️ Pushing a crate 8 m took 2080 J of work. What force was used, in newtons?
- 39.🏋️ A force of 150 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 40.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
Answer key
- 600
- 170
- 60
- 400
- 2
- 250
- 180
- 4
- 2
- through a distance
- less effort
- 3
- 550
- 30
- joule (J)
- 4200
- 2
- 380
- 1000
- 5
- 550
- 280
- 4
- 450
- 5
- 70
- no, work stays the same
- 2
- 280
- 500
- 6
- 190
- 2
- 470
- 100
- 4
- 2
- 260
- 300
- 3
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