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 190 N did 380 J of work. How many metres did the object move?
- 2.🏋️ Pushing a crate 4 m took 360 J of work. What force was used, in newtons?
- 3.🏋️ A force of 20 N did 40 J of work. How many metres did the object move?
- 4.🏋️ Pushing a crate 3 m took 60 J of work. What force was used, in newtons?
- 5.🏋️ A force of 140 N did 1120 J of work. How many metres did the object move?
- 6.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
- 7.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) yes, always (d) no, work stays the same
- 8.🏋️ Pushing a crate 10 m took 3400 J of work. What force was used, in newtons?
- 9.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 10.🏋️ A 12 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 11.🏋️ An 11 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A longer ramp to the same height needs … (a) no effort (b) more effort (c) the same effort (d) less effort
- 13.🏋️ Pushing a crate 3 m took 1410 J of work. What force was used, in newtons?
- 14.🏋️ A 14 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A 12 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A force of 460 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 18.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 19.🏋️ A 19 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ Pushing a crate 2 m took 680 J of work. What force was used, in newtons?
- 21.🏋️ A force of 190 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 22.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 5400 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A 16 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A 4 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.🏋️ A force of 80 N did 640 J of work. How many metres did the object move?
- 26.🏋️ A 3 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 240 N did 960 J of work. How many metres did the object move?
- 28.🏋️ A force of 420 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 230 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 30.🏋️ Pushing a crate 3 m took 1050 J of work. What force was used, in newtons?
- 31.🏋️ A force of 40 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 400 N did 2800 J of work. How many metres did the object move?
- 33.🏋️ A force of 290 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 410 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 450 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 36.🏋️ A machine lifts a load of 550 N when you push with 110 N. What is its mechanical advantage (MA)?
- 37.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 39.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A force of 410 N pushes a cart 9 m along the floor. How much work is done, in joules?
Answer key
- 2
- 90
- 2
- 20
- 8
- joule (J)
- no, work stays the same
- 340
- through a distance
- 360
- 550
- less effort
- 470
- 420
- 100
- 480
- 920
- 3
- 380
- 340
- 570
- 900
- 640
- 120
- 8
- 120
- 4
- 4200
- 2300
- 350
- 240
- 7
- 870
- 1230
- 3150
- 5
- 40
- 6
- 250
- 3690
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