Which object will have the greatest acceleration if acted upon by a net force of 100N?
1 answer:
Answer:
The object with the greatest acceleration is the one with the mass of 5 kg. Option A
Explanation:
The conclusion is easy for getting because we can use all the given options in the equation of newton for the mass, the force, and the acceleration. We can all the results in the attached image.
Note: We can realize that for a given force, while the mass of the object is less it will be more easy to accelerate it.
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a) The length of the arm of the centrifuge is 10.9 m
b) The angular acceleration is
Explanation:
a)
In a uniform circular motion, the centripetal acceleration is given by
where:
is the angular speed of the circular motion
r is the radius of the circle
For the centrifuge in this problem, we have:
is the angular speed
The centripetal acceleration is 3.2 times the acceleration due to gravity (), so:
Therefore, we can re-arrange the previous equation to find r, the radius of the circle (which corresponds to the length of the arm of the centrifuge):
b)
In the second part of the exercise, the centrifuge speeds up from an initial angular speed of 0 to a final angular speed of 1.7 rad/s. The total acceleration experienced at the final moment is
So, 4.4 times the acceleration due to gravity.
The total acceleration is the resultant of the centripetal acceleration () and the tangential acceleration (
):
We know that:
a = 4.4g
So, we can find the tangential acceleration:
The angular acceleration is related to the tangential acceleration by
where r = 10.9 m is the length of the centrifuge. Substituting,
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The force per unit length between the two wires is
Explanation:
The magnitude of the force per unit length exerted between two current-carrying wires is given by
where
is the vacuum permeability
are the currents in the two wires
r is the separation between the two wires
For the wires in this problem, we have
r = 2.00 cm = 0.02 m
Substituting into the equation, we find
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