A compound machine is sued to lift a car. If you apply a force of 60 N to the machine, it lifts the car with a force of 550 N.
2 answers:
Answer:
a) 9.167
b) 402.5 J
Explanation:
We have a machine, which when applying a force of 60N, it returns 550N.
a) The mechanical advantage of a machine is the number of times that the machine increases an input force.
Mathematically, is the relationship between the output force and the input force.
The mechanical advantage is dimensionless.
In this case, the input force (the force we apply) is 60 N; and the output force (the force that the compound machine exerts) is 550 N.
We solve it this way:
This is the mechanical advantage of the machine in this exercise.
b)In a machine, we define the efficiency as the relationship between the work we receive from the machine, and the work we give to it.
The machine efficiency is a real number between 0 and 1 and is dimensionless.
In this exercise, the efficiency is 35% = 0.35
We solve it this way :
We obtain 402.5 J useful work from the machine.
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Answer:
Because the force one needs to apply is reduced.
Explanation:
- Work can be expressed in terms of force and distance as follows,
Work = Force × distance
- To be more precise, the selection of these two parameters should be in a manner that the distance is what the line of action of the force traces.
- It is obvious that for a given amount of work when one parameter is changed the other changes to counteract the change of the first one.
- Imagine the situation shown in the attached figure. The amount of work that needs to be done during the lifting of the mass to a height of
vertically is
.
- On the slope, however, one needs to push the object an
distance up to get the object to that
height ultimately.
- The work he does on the slope is
and since
,
.
- The force that needs to be applied is less than that applied in the vertical lift. Hence it feels easier. #SPJ4
