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 210 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 2.🏋️ Pushing a crate 2 m took 180 J of work. What force was used, in newtons?
- 3.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A force of 320 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 5.🏋️ A force of 20 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 6.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 7.🏋️ In which unit is work measured? (a) joule (J) (b) metre (m) (c) newton (N) (d) watt hour
- 8.🏋️ An 11 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 10.🏋️ A force of 440 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 11.🏋️ A 14 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ A force of 220 N did 1100 J of work. How many metres did the object move?
- 14.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2200 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2750 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 330 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 18.🏋️ Pushing a crate 3 m took 600 J of work. What force was used, in newtons?
- 19.🏋️ A force of 120 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 310 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 21.🏋️ A 16 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) the same effort (d) more effort
- 23.🏋️ A force of 130 N did 1040 J of work. How many metres did the object move?
- 24.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 200 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 10 N did 70 J of work. How many metres did the object move?
- 27.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) yes, by half (d) no, work stays the same
- 29.🏋️ A force of 450 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 30.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 31.🏋️ Pushing a crate 2 m took 360 J of work. What force was used, in newtons?
- 32.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 4250 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ A force of 20 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 200 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 35.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
- 36.🏋️ A machine lifts a load of 450 N when you push with 150 N. What is its mechanical advantage (MA)?
- 37.🏋️ A machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
- 38.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ Pushing a crate 8 m took 2560 J of work. What force was used, in newtons?
- 40.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 630
- 90
- 850
- 3200
- 100
- load ÷ effort
- joule (J)
- 440
- 3
- 2640
- 140
- 300
- 5
- 550
- 550
- 6
- 330
- 200
- 1080
- 1860
- 800
- less effort
- 8
- 150
- 1200
- 7
- 150
- no, work stays the same
- 1350
- 4
- 180
- 850
- 160
- 1400
- 3
- 3
- 4
- 600
- 320
- 700
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