Noah drops a rock with a density of 1.73 g/cm3 into a pond. Will the rock float or sink? Explain your answer.
2 answers:
Answer:
The rock will sink in the water because it has high density than water.
Explanation:
As we know that the density of water is
And in the given question the density of the rock is .
And also it is known that any object which has higher density than the water it will sink or if it is lower density than water it will float.
Now in the given situation the density of the rock is greater than the density of the water.
Therefore, the rock will sink in the water because of high density than water.
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To solve this problem it is necessary to apply the kinematic equations of angular motion.
Torque from the rotational movement is defined as
where
I = Moment of inertia For a disk
Angular acceleration
The angular acceleration at the same time can be defined as function of angular velocity and angular displacement (Without considering time) through the expression:
Where
Final and Initial Angular velocity
Angular acceleration
Angular displacement
Our values are given as
Using the expression of angular acceleration we can find the to then find the torque, that is,
With the expression of the acceleration found it is now necessary to replace it on the torque equation and the respective moment of inertia for the disk, so
Therefore the torque exerted on it is