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 15 m long and rises 3 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 2.🏋️ A force of 260 N did 1040 J of work. How many metres did the object move?
- 3.🏋️ An 18 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A force of 470 N did 940 J of work. How many metres did the object move?
- 5.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) only upwards (d) through a distance
- 6.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) effort ÷ load (c) load ÷ effort (d) load × effort
- 7.🏋️ A machine lifts a load of 400 N when you push with 80 N. What is its mechanical advantage (MA)?
- 8.🏋️ Pushing a crate 8 m took 1840 J of work. What force was used, in newtons?
- 9.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 10.🏋️ A force of 180 N did 540 J of work. How many metres did the object move?
- 11.🏋️ A 5 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A force of 50 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 13.🏋️ A force of 460 N did 2300 J of work. How many metres did the object move?
- 14.🏋️ A force of 80 N did 560 J of work. How many metres did the object move?
- 15.🏋️ Pushing a crate 5 m took 250 J of work. What force was used, in newtons?
- 16.🏋️ Pushing a crate 6 m took 1200 J of work. What force was used, in newtons?
- 17.🏋️ A machine lifts a load of 640 N when you push with 160 N. What is its mechanical advantage (MA)?
- 18.🏋️ An 11 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
- 22.🏋️ A machine lifts a load of 480 N when you push with 120 N. What is its mechanical advantage (MA)?
- 23.🏋️ A force of 60 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 24.🏋️ A force of 10 N did 70 J of work. How many metres did the object move?
- 25.🏋️ A force of 10 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 490 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 27.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A force of 120 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 180 N did 360 J of work. How many metres did the object move?
- 30.🏋️ A force of 40 N did 40 J of work. How many metres did the object move?
- 31.🏋️ Pushing a crate 8 m took 1680 J of work. What force was used, in newtons?
- 32.🏋️ A machine lifts a load of 180 N when you push with 30 N. What is its mechanical advantage (MA)?
- 33.🏋️ Pushing a crate 8 m took 1120 J of work. What force was used, in newtons?
- 34.🏋️ A force of 110 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 430 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 36.🏋️ A force of 410 N did 820 J of work. How many metres did the object move?
- 37.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A force of 210 N did 1680 J of work. How many metres did the object move?
- 39.🏋️ A machine lifts a load of 80 N when you push with 20 N. What is its mechanical advantage (MA)?
- 40.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
Answer key
- 450
- 4
- 720
- 2
- through a distance
- load ÷ effort
- 5
- 230
- 3
- 3
- 150
- 100
- 5
- 7
- 50
- 200
- 4
- 440
- 800
- 10
- 3
- 4
- 300
- 7
- 60
- 3430
- 400
- 960
- 2
- 1
- 210
- 6
- 140
- 990
- 4300
- 2
- 450
- 8
- 4
- 3
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