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 machine lifts a load of 550 N when you push with 110 N. What is its mechanical advantage (MA)?
- 2.🏋️ A machine lifts a load of 250 N when you push with 50 N. What is its mechanical advantage (MA)?
- 3.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A machine lifts a load of 570 N when you push with 190 N. What is its mechanical advantage (MA)?
- 5.🏋️ A force of 310 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 6.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4750 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) more effort (d) no effort
- 8.🏋️ A force of 360 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 9.🏋️ Pushing a crate 1 m took 490 J of work. What force was used, in newtons?
- 10.🏋️ A force of 110 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 11.🏋️ A machine lifts a load of 60 N when you push with 10 N. What is its mechanical advantage (MA)?
- 12.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 13.🏋️ A force of 70 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 14.🏋️ A force of 320 N did 3200 J of work. How many metres did the object move?
- 15.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load × effort (c) load + effort (d) effort ÷ load
- 17.🏋️ Pushing a crate 4 m took 1520 J of work. What force was used, in newtons?
- 18.🏋️ A machine lifts a load of 160 N when you push with 40 N. What is its mechanical advantage (MA)?
- 19.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) no, work stays the same (d) yes, always
- 20.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ 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)
- 22.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 150 N did 600 J of work. How many metres did the object move?
- 24.🏋️ A 4 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A 16 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 330 N did 2640 J of work. How many metres did the object move?
- 29.🏋️ A 10 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A force of 50 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 31.🏋️ In which unit is work measured? (a) newton (N) (b) watt hour (c) joule (J) (d) metre (m)
- 32.🏋️ An 18 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 34.🏋️ 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)
- 35.🏋️ A force of 350 N did 1400 J of work. How many metres did the object move?
- 36.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 37.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1100 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A force of 150 N did 1350 J of work. How many metres did the object move?
- 39.🏋️ A force of 440 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 40.🏋️ A machine lifts a load of 200 N when you push with 50 N. What is its mechanical advantage (MA)?
Answer key
- 5
- 5
- 700
- 3
- 1240
- 950
- less effort
- 1080
- 490
- 660
- 6
- through a distance
- 420
- 10
- 750
- load ÷ effort
- 380
- 4
- no, work stays the same
- 750
- 850
- 300
- 4
- 160
- 50
- 640
- 800
- 8
- 200
- 200
- joule (J)
- 360
- 6
- 50
- 4
- 950
- 550
- 9
- 1760
- 4
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