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 smooth ramp is 3 m long and rises 1 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ 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)
- 5.🏋️ A force of 380 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 6.🏋️ A machine lifts a load of 780 N when you push with 130 N. What is its mechanical advantage (MA)?
- 7.🏋️ A force of 250 N did 2000 J of work. How many metres did the object move?
- 8.🏋️ A force of 100 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 9.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 10.🏋️ A machine lifts a load of 700 N when you push with 140 N. What is its mechanical advantage (MA)?
- 11.🏋️ A force of 220 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 12.🏋️ Pushing a crate 2 m took 180 J of work. What force was used, in newtons?
- 13.🏋️ A machine lifts a load of 900 N when you push with 180 N. What is its mechanical advantage (MA)?
- 14.🏋️ A force of 240 N did 480 J of work. How many metres did the object move?
- 15.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) load + effort (d) effort ÷ load
- 16.🏋️ A force of 440 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 20 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 18.🏋️ Pushing a crate 5 m took 350 J of work. What force was used, in newtons?
- 19.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ Pushing a crate 7 m took 1050 J of work. What force was used, in newtons?
- 21.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) through a distance (d) without moving it
- 22.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) yes, by half (d) only on Mondays
- 23.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 24.🏋️ A force of 170 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 25.🏋️ Pushing a crate 1 m took 340 J of work. What force was used, in newtons?
- 26.🏋️ A force of 320 N did 2560 J of work. How many metres did the object move?
- 27.🏋️ A force of 150 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 310 N did 310 J of work. How many metres did the object move?
- 29.🏋️ A force of 210 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 30.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 31.🏋️ 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)
- 32.🏋️ 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)
- 33.🏋️ 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)
- 34.🏋️ A force of 40 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 340 N did 680 J of work. How many metres did the object move?
- 36.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 100 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 38.🏋️ A machine lifts a load of 520 N when you push with 130 N. What is its mechanical advantage (MA)?
- 39.🏋️ A force of 310 N did 1860 J of work. How many metres did the object move?
- 40.🏋️ Pushing a crate 4 m took 1560 J of work. What force was used, in newtons?
Answer key
- 800
- 350
- 400
- 500
- 3420
- 6
- 8
- 200
- joule (J)
- 5
- 2200
- 90
- 5
- 2
- load ÷ effort
- 2640
- 60
- 70
- 600
- 150
- through a distance
- no, work stays the same
- 100
- 1530
- 340
- 8
- 750
- 1
- 1680
- 6
- 50
- 850
- 500
- 280
- 2
- 2
- 900
- 4
- 6
- 390
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