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.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 2.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) no, work stays the same (d) yes, by half
- 3.🏋️ A 17 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A 5 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A force of 100 N did 600 J of work. How many metres did the object move?
- 6.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) watt hour (d) metre (m)
- 7.🏋️ A force of 140 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 8.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Pushing a crate 10 m took 1100 J of work. What force was used, in newtons?
- 10.🏋️ An 8 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.🏋️ Pushing a crate 2 m took 360 J of work. What force was used, in newtons?
- 12.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A force of 150 N did 450 J of work. How many metres did the object move?
- 14.🏋️ A force of 30 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 15.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 16.🏋️ A force of 270 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 17.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ 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?
- 20.🏋️ Pushing a crate 1 m took 410 J of work. What force was used, in newtons?
- 21.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 22.🏋️ A force of 40 N did 240 J of work. How many metres did the object move?
- 23.🏋️ A machine lifts a load of 480 N when you push with 80 N. What is its mechanical advantage (MA)?
- 24.🏋️ A 10 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 5700 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ An 8 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 40 N did 360 J of work. How many metres did the object move?
- 28.🏋️ A force of 220 N did 440 J of work. How many metres did the object move?
- 29.🏋️ Pushing a crate 9 m took 2070 J of work. What force was used, in newtons?
- 30.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A machine lifts a load of 40 N when you push with 10 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 200 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 33.🏋️ Pushing a crate 2 m took 280 J of work. What force was used, in newtons?
- 34.🏋️ A force of 460 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 35.🏋️ Pushing a crate 8 m took 1920 J of work. What force was used, in newtons?
- 36.🏋️ A force of 380 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 37.🏋️ 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?
- 38.🏋️ Pushing a crate 3 m took 180 J of work. What force was used, in newtons?
- 39.🏋️ A force of 490 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 40.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
Answer key
- through a distance
- no, work stays the same
- 510
- 50
- 6
- joule (J)
- 280
- 900
- 110
- 240
- 180
- 400
- 3
- 60
- less effort
- 2160
- 200
- 300
- 600
- 410
- load ÷ effort
- 6
- 6
- 200
- 950
- 80
- 9
- 2
- 230
- 100
- 4
- 400
- 140
- 2760
- 240
- 1900
- 680
- 60
- 4410
- 2
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