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 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 2.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 3.🏋️ A force of 230 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 4.🏋️ A force of 170 N did 680 J of work. How many metres did the object move?
- 5.🏋️ 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?
- 6.🏋️ A force of 490 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 7.🏋️ Pushing a crate 3 m took 1500 J of work. What force was used, in newtons?
- 8.🏋️ A machine lifts a load of 850 N when you push with 170 N. What is its mechanical advantage (MA)?
- 9.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ A force of 430 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 11.🏋️ Pushing a crate 2 m took 480 J of work. What force was used, in newtons?
- 12.🏋️ 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)
- 13.🏋️ A force of 310 N did 930 J of work. How many metres did the object move?
- 14.🏋️ A force of 400 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 15.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 16.🏋️ Work is done when a force moves something … (a) only upwards (b) through a distance (c) without moving it (d) very slowly
- 17.🏋️ Pushing a crate 8 m took 3360 J of work. What force was used, in newtons?
- 18.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1750 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ Pushing a crate 6 m took 2460 J of work. What force was used, in newtons?
- 20.🏋️ A force of 440 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 21.🏋️ A machine lifts a load of 120 N when you push with 60 N. What is its mechanical advantage (MA)?
- 22.🏋️ A machine lifts a load of 200 N when you push with 40 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 70 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 24.🏋️ 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?
- 25.🏋️ A 2 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 force of 290 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 27.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 110 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 29.🏋️ A longer ramp to the same height needs … (a) more effort (b) no effort (c) the same effort (d) less effort
- 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 9 m long and rises 3 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A machine lifts a load of 960 N when you push with 160 N. What is its mechanical advantage (MA)?
- 33.🏋️ Pushing a crate 1 m took 410 J of work. What force was used, in newtons?
- 34.🏋️ A machine lifts a load of 300 N when you push with 60 N. What is its mechanical advantage (MA)?
- 35.🏋️ A force of 190 N did 190 J of work. How many metres did the object move?
- 36.🏋️ A force of 380 N did 1520 J of work. How many metres did the object move?
- 37.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 39.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 40.🏋️ Pushing a crate 10 m took 200 J of work. What force was used, in newtons?
Answer key
- 4
- load ÷ effort
- 1610
- 4
- 480
- 490
- 500
- 5
- 600
- 2580
- 240
- 950
- 3
- 4000
- no, work stays the same
- through a distance
- 420
- 350
- 410
- 4400
- 2
- 5
- 420
- 360
- 60
- 290
- 700
- 330
- less effort
- 2
- 450
- 6
- 410
- 5
- 1
- 4
- 100
- joule (J)
- 6
- 20
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