A physicist does 100 joules of work on a simple machine that raise a box of bioks through a heigjt of 0.2metres. if the efficien
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Answer:
2271.16N/C upward
Explanation:
The diagram well illustrate all the forces acting on the mass. The weight is acting downward and the force is acting upward in other to balance the weight.since the question says it is motionless, then indeed the forces are balanced.
First we determine the downward weight using
Hence for a mass of 3.82g 0r 0.00382kg we have the weight to be
To calculate the electric field,
Since the charge on the mass is negative, in order to generate upward force, there must be a like charge below it that is repelling it, Hebce we can conclude that the electric field lines are upward.
Hence the magnitude of the electric force is 2271.16N/C and the direction is upward
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,
Learn more about centripetal and angular acceleration here:
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