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) more effort (b) the same effort (c) less effort (d) no effort
- 2.🏋️ A force of 310 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 3.🏋️ A force of 350 N did 1050 J of work. How many metres did the object move?
- 4.🏋️ A 3 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 7.🏋️ A machine lifts a load of 540 N when you push with 90 N. What is its mechanical advantage (MA)?
- 8.🏋️ A machine lifts a load of 660 N when you push with 110 N. What is its mechanical advantage (MA)?
- 9.🏋️ Pushing a crate 5 m took 600 J of work. What force was used, in newtons?
- 10.🏋️ Work is done when a force moves something … (a) very slowly (b) through a distance (c) only upwards (d) without moving it
- 11.🏋️ 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
- 12.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 1900 N box up it, in newtons? (ideal ramp, no friction)
- 13.🏋️ Pushing a crate 4 m took 1960 J of work. What force was used, in newtons?
- 14.🏋️ A 1 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A force of 90 N did 720 J of work. How many metres did the object move?
- 16.🏋️ A force of 60 N did 120 J of work. How many metres did the object move?
- 17.🏋️ Pushing a crate 1 m took 280 J of work. What force was used, in newtons?
- 18.🏋️ Pushing a crate 4 m took 1480 J of work. What force was used, in newtons?
- 19.🏋️ A force of 490 N did 980 J of work. How many metres did the object move?
- 20.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
- 21.🏋️ 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)
- 22.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A force of 470 N did 940 J of work. How many metres did the object move?
- 24.🏋️ A 6 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 25.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5400 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A force of 80 N did 320 J of work. How many metres did the object move?
- 27.🏋️ A force of 240 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 80 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 29.🏋️ Pushing a crate 3 m took 1380 J of work. What force was used, in newtons?
- 30.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ A force of 220 N did 1540 J of work. How many metres did the object move?
- 33.🏋️ Pushing a crate 2 m took 740 J of work. What force was used, in newtons?
- 34.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) load ÷ effort (d) effort ÷ load
- 35.🏋️ Pushing a crate 3 m took 870 J of work. What force was used, in newtons?
- 36.🏋️ Pushing a crate 6 m took 2040 J of work. What force was used, in newtons?
- 37.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 2800 N box up it, in newtons? (ideal ramp, no friction)
- 38.🏋️ A force of 70 N did 630 J of work. How many metres did the object move?
- 39.🏋️ A force of 260 N did 1040 J of work. How many metres did the object move?
- 40.🏋️ A force of 370 N did 2590 J of work. How many metres did the object move?
Answer key
- less effort
- 2170
- 3
- 30
- 700
- 4
- 6
- 6
- 120
- through a distance
- no, work stays the same
- 950
- 490
- 30
- 8
- 2
- 280
- 370
- 2
- 3
- 500
- 200
- 2
- 60
- 900
- 4
- 2400
- 80
- 460
- 500
- 50
- 7
- 370
- load ÷ effort
- 290
- 340
- 700
- 9
- 4
- 7
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