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 3 m long and rises 1 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A 6 kg box is lifted straight up by 4 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) only on Mondays (b) no, work stays the same (c) yes, by half (d) yes, always
- 4.🏋️ A force of 390 N did 3900 J of work. How many metres did the object move?
- 5.🏋️ In which unit is work measured? (a) newton (N) (b) metre (m) (c) watt hour (d) joule (J)
- 6.🏋️ A machine lifts a load of 850 N when you push with 170 N. What is its mechanical advantage (MA)?
- 7.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 8.🏋️ A force of 440 N did 2200 J of work. How many metres did the object move?
- 9.🏋️ A force of 20 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 10.🏋️ A force of 50 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 420 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 20 N did 40 J of work. How many metres did the object move?
- 13.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) load ÷ effort (d) effort ÷ load
- 14.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A machine lifts a load of 540 N when you push with 90 N. What is its mechanical advantage (MA)?
- 16.🏋️ A machine lifts a load of 360 N when you push with 180 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 10 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 18.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1250 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A force of 110 N did 1100 J of work. How many metres did the object move?
- 21.🏋️ Pushing a crate 1 m took 420 J of work. What force was used, in newtons?
- 22.🏋️ A 20 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ Pushing a crate 9 m took 1890 J of work. What force was used, in newtons?
- 24.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A force of 130 N did 130 J of work. How many metres did the object move?
- 26.🏋️ A force of 80 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 27.🏋️ A 1 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2550 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A force of 260 N did 520 J of work. How many metres did the object move?
- 30.🏋️ Pushing a crate 9 m took 3510 J of work. What force was used, in newtons?
- 31.🏋️ A 16 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ Pushing a crate 6 m took 1680 J of work. What force was used, in newtons?
- 33.🏋️ A force of 130 N did 780 J of work. How many metres did the object move?
- 34.🏋️ A machine lifts a load of 100 N when you push with 20 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 350 N did 1050 J of work. How many metres did the object move?
- 36.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ An 18 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A force of 40 N did 280 J of work. How many metres did the object move?
- 39.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A force of 480 N did 480 J of work. How many metres did the object move?
Answer key
- 850
- 240
- no, work stays the same
- 10
- joule (J)
- 5
- 3
- 5
- 100
- 50
- 4200
- 2
- load ÷ effort
- 500
- 6
- 2
- 100
- 250
- 500
- 10
- 420
- 800
- 210
- 30
- 1
- 640
- 50
- 850
- 2
- 390
- 320
- 280
- 6
- 5
- 3
- 100
- 540
- 7
- 700
- 1
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