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 smooth ramp is 12 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A 10 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 3.🏋️ 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
- 4.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 5.🏋️ A force of 330 N did 2640 J of work. How many metres did the object move?
- 6.🏋️ A force of 170 N did 1190 J of work. How many metres did the object move?
- 7.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) load + effort (d) effort ÷ load
- 8.🏋️ A force of 440 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 9.🏋️ A force of 270 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 10.🏋️ A 2 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 130 N did 1300 J of work. How many metres did the object move?
- 12.🏋️ Pushing a crate 4 m took 160 J of work. What force was used, in newtons?
- 13.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 14.🏋️ A 15 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.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A force of 360 N did 720 J of work. How many metres did the object move?
- 17.🏋️ A force of 340 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 18.🏋️ A longer ramp to the same height needs … (a) no effort (b) the same effort (c) more effort (d) less effort
- 19.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) without moving it (d) only upwards
- 21.🏋️ A force of 320 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 22.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ 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)
- 24.🏋️ Pushing a crate 2 m took 1000 J of work. What force was used, in newtons?
- 25.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 27.🏋️ Pushing a crate 10 m took 3400 J of work. What force was used, in newtons?
- 28.🏋️ A force of 320 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 29.🏋️ Pushing a crate 2 m took 180 J of work. What force was used, in newtons?
- 30.🏋️ A force of 340 N did 340 J of work. How many metres did the object move?
- 31.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 32.🏋️ 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)
- 33.🏋️ A force of 410 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 34.🏋️ Pushing a crate 1 m took 110 J of work. What force was used, in newtons?
- 35.🏋️ A force of 90 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 440 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 430 N did 1290 J of work. How many metres did the object move?
- 38.🏋️ A force of 100 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 39.🏋️ A force of 60 N did 480 J of work. How many metres did the object move?
- 40.🏋️ A force of 180 N pushes a cart 7 m along the floor. How much work is done, in joules?
Answer key
- 500
- 500
- no, work stays the same
- 850
- 8
- 7
- load ÷ effort
- 880
- 270
- 40
- 10
- 40
- 3
- 150
- 300
- 2
- 2380
- less effort
- 1000
- through a distance
- 2560
- 80
- 150
- 500
- 100
- 6
- 340
- 1600
- 90
- 1
- joule (J)
- 300
- 3690
- 110
- 810
- 4400
- 3
- 100
- 8
- 1260
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