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 8 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A force of 170 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 3.🏋️ A force of 10 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 4.🏋️ 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)
- 5.🏋️ A 17 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ 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
- 8.🏋️ Pushing a crate 7 m took 2030 J of work. What force was used, in newtons?
- 9.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) more effort (d) the same effort
- 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.🏋️ Pushing a crate 3 m took 210 J of work. What force was used, in newtons?
- 12.🏋️ A 9 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ Pushing a crate 2 m took 960 J of work. What force was used, in newtons?
- 14.🏋️ Pushing a crate 1 m took 440 J of work. What force was used, in newtons?
- 15.🏋️ A force of 10 N did 50 J of work. How many metres did the object move?
- 16.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 17.🏋️ A machine lifts a load of 950 N when you push with 190 N. What is its mechanical advantage (MA)?
- 18.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) joule (J) (d) watt hour
- 19.🏋️ Pushing a crate 1 m took 260 J of work. What force was used, in newtons?
- 20.🏋️ A 1 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ 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)
- 22.🏋️ A force of 140 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 23.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 24.🏋️ Pushing a crate 10 m took 1500 J of work. What force was used, in newtons?
- 25.🏋️ A force of 240 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 90 N did 180 J of work. How many metres did the object move?
- 27.🏋️ A force of 500 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 420 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 190 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 30.🏋️ A 12 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 31.🏋️ A force of 490 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 130 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 33.🏋️ 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?
- 34.🏋️ A force of 310 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 35.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) effort ÷ load (d) load ÷ effort
- 36.🏋️ A machine lifts a load of 540 N when you push with 90 N. What is its mechanical advantage (MA)?
- 37.🏋️ Pushing a crate 8 m took 400 J of work. What force was used, in newtons?
- 38.🏋️ Pushing a crate 3 m took 390 J of work. What force was used, in newtons?
- 39.🏋️ A force of 60 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 410 N did 410 J of work. How many metres did the object move?
Answer key
- 500
- 170
- 10
- 300
- 340
- 250
- no, work stays the same
- 290
- less effort
- 100
- 70
- 180
- 480
- 440
- 5
- 4
- 5
- joule (J)
- 260
- 40
- 250
- 1400
- through a distance
- 150
- 720
- 2
- 3000
- 1680
- 760
- 120
- 1960
- 910
- 80
- 2480
- load ÷ effort
- 6
- 50
- 130
- 60
- 1
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