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.
NameDateTime takenScore ___ / 40
- 1.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 2.🏋️ Pushing a crate 3 m took 1200 J of work. What force was used, in newtons?
- 3.🏋️ A force of 30 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 4.🏋️ 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)
- 5.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A force of 240 N did 1440 J of work. How many metres did the object move?
- 7.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) effort ÷ load (c) load ÷ effort (d) load + effort
- 8.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) yes, by half (d) no, work stays the same
- 9.🏋️ A force of 490 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 10.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) only upwards (d) very slowly
- 11.🏋️ A machine lifts a load of 420 N when you push with 70 N. What is its mechanical advantage (MA)?
- 12.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) newton (N) (d) metre (m)
- 13.🏋️ A 6 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A force of 460 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 15.🏋️ A force of 490 N did 4900 J of work. How many metres did the object move?
- 16.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 18.🏋️ A 20 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ An 18 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ 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)
- 21.🏋️ A force of 100 N did 700 J of work. How many metres did the object move?
- 22.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A machine lifts a load of 360 N when you push with 120 N. What is its mechanical advantage (MA)?
- 24.🏋️ A force of 250 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 25.🏋️ A 16 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) no effort (d) more effort
- 27.🏋️ A force of 220 N did 440 J of work. How many metres did the object move?
- 28.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 29.🏋️ A force of 130 N did 390 J of work. How many metres did the object move?
- 30.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 31.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 250 N box up it, in newtons? (ideal ramp, no friction)
- 33.🏋️ 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?
- 34.🏋️ A force of 240 N did 240 J of work. How many metres did the object move?
- 35.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A force of 260 N did 1820 J of work. How many metres did the object move?
- 37.🏋️ A force of 200 N did 1800 J of work. How many metres did the object move?
- 38.🏋️ A force of 10 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 39.🏋️ A force of 80 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 40.🏋️ A force of 430 N did 2580 J of work. How many metres did the object move?
Answer key
- 5
- 400
- 270
- 250
- 750
- 6
- load ÷ effort
- no, work stays the same
- 1960
- through a distance
- 6
- joule (J)
- 60
- 4600
- 10
- 200
- 850
- 200
- 900
- 1000
- 7
- 700
- 3
- 250
- 480
- less effort
- 2
- 6
- 3
- 2
- 200
- 50
- 680
- 1
- 600
- 7
- 9
- 60
- 640
- 6
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