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 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 2.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, always (d) yes, by half
- 3.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) very slowly (d) only upwards
- 4.🏋️ A force of 410 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 5.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 600 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ A force of 50 N did 100 J of work. How many metres did the object move?
- 8.🏋️ A force of 310 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 9.🏋️ Pushing a crate 1 m took 260 J of work. What force was used, in newtons?
- 10.🏋️ A force of 450 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 11.🏋️ A force of 150 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 12.🏋️ A 3 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ A force of 350 N did 2800 J of work. How many metres did the object move?
- 14.🏋️ A force of 460 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 15.🏋️ A force of 180 N did 720 J of work. How many metres did the object move?
- 16.🏋️ Pushing a crate 1 m took 100 J of work. What force was used, in newtons?
- 17.🏋️ An 11 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A machine lifts a load of 800 N when you push with 200 N. What is its mechanical advantage (MA)?
- 19.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) load ÷ effort (d) effort ÷ load
- 20.🏋️ 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)
- 21.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A force of 450 N did 3600 J of work. How many metres did the object move?
- 23.🏋️ A longer ramp to the same height needs … (a) no effort (b) less effort (c) the same effort (d) more effort
- 24.🏋️ Pushing a crate 3 m took 180 J of work. What force was used, in newtons?
- 25.🏋️ A force of 10 N did 100 J of work. How many metres did the object move?
- 26.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
- 27.🏋️ A force of 490 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 28.🏋️ Pushing a crate 9 m took 4500 J of work. What force was used, in newtons?
- 29.🏋️ An 8 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 70 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 31.🏋️ A machine lifts a load of 40 N when you push with 20 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 390 N did 2730 J of work. How many metres did the object move?
- 33.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 2700 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A 13 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ A force of 500 N did 4500 J of work. How many metres did the object move?
- 36.🏋️ A force of 220 N did 1100 J of work. How many metres did the object move?
- 37.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A force of 140 N did 280 J of work. How many metres did the object move?
- 39.🏋️ A force of 370 N did 1110 J of work. How many metres did the object move?
- 40.🏋️ A machine lifts a load of 270 N when you push with 90 N. What is its mechanical advantage (MA)?
Answer key
- 3
- no, work stays the same
- through a distance
- 2460
- 200
- 750
- 2
- 1240
- 260
- 2700
- 1200
- 150
- 8
- 4140
- 4
- 100
- 110
- 4
- load ÷ effort
- 950
- 350
- 8
- less effort
- 60
- 10
- 5
- 2450
- 500
- 160
- 700
- 2
- 7
- 450
- 260
- 9
- 5
- 120
- 2
- 3
- 3
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