A ball is dropped from 215m. How long will it take to reach the ground? Use 9.8
1 answer:
Answer:
The time is
Explanation:
From the question we are told that
The height of the platform where the ball was dropped from is s = 215 m
The acceleration due to gravity is
Generally from kinematic equations
Here u is the initial velocity of the ball and the value is u = 0 m/s given that the ball was at rest before it was dropped
So
=>
=>
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Here
Mass inside the orbit in terms of Volume and Density is
Where,
V = Volume
Density
Now considering the volume of the star as a Sphere we have
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Now replacing the mass at the gravitational acceleration formula we have that
For a rotating star, the centripetal acceleration is caused by this gravitational acceleration. So centripetal acceleration of the star is
At the same time the general expression for the centripetal acceleration is
Where is the orbital velocity
Using this expression in the left hand side of the equation we have that
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As the orbital velocity is proportional to the orbital radius, it shows the rigid body rotation of stars near the galactic center.
So the rigid-body rotation near the galactic center is consistent with a spherically symmetric mass distribution of constant density