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 longer ramp to the same height needs … (a) less effort (b) more effort (c) the same effort (d) no effort
- 2.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) through a distance (d) very slowly
- 3.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 4.🏋️ An 8 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ In which unit is work measured? (a) newton (N) (b) joule (J) (c) metre (m) (d) watt hour
- 6.🏋️ Pushing a crate 1 m took 430 J of work. What force was used, in newtons?
- 7.🏋️ Pushing a crate 3 m took 660 J of work. What force was used, in newtons?
- 8.🏋️ A force of 340 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 9.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A force of 210 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 11.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) load ÷ effort (d) effort ÷ load
- 12.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
- 13.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) only on Mondays (c) yes, always (d) yes, by half
- 14.🏋️ A force of 380 N did 3040 J of work. How many metres did the object move?
- 15.🏋️ A force of 80 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 16.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 17.🏋️ A force of 50 N did 350 J of work. How many metres did the object move?
- 18.🏋️ A 12 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A force of 460 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 21.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 22.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 240 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 24.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A force of 360 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 26.🏋️ A 15 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 430 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 28.🏋️ A 5 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3800 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 40 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 140 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 33.🏋️ A 5 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 machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 35.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 36.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 10 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 440 N did 1760 J of work. How many metres did the object move?
- 39.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A machine lifts a load of 180 N when you push with 90 N. What is its mechanical advantage (MA)?
Answer key
- less effort
- through a distance
- 3
- 240
- joule (J)
- 430
- 220
- 1020
- 300
- 210
- load ÷ effort
- 3
- no, work stays the same
- 8
- 560
- 2
- 7
- 360
- 500
- 920
- 2
- 850
- 1440
- 50
- 2520
- 450
- 1290
- 250
- 300
- 950
- 360
- 140
- 200
- 3
- 4
- 5
- 60
- 4
- 1000
- 2
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