what is the transfer of heat energy by direct contact. A . convection b. radiation c. thermal or heat and d. conduction
2 answers:
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a) Object C (the disk) has the greatest rotational inertia ()
b) Object B (the sphere) has the smallest rotational inertia ()
Explanation:
The moments of inertia of the three objects are the following:
1) For a hoop of negligible thickness, it is
where M is its mass and R its radius. For the hoop in this problem,
M = m
R = r
Therefore, its moment of inertia is
2) For a solid sphere, the moment of inertia is
where M is its mass and R its radius. For the sphere in this problem,
M = 2m
R = r
Therefore, its moment of inertia is
3) For a disk of negligible thickness, the moment of inertia is
where M is its mass and R its radius. For the disk in this problem,
M = 3m
R = r
Therefore, its moment of inertia is
So now we can answer the two questions:
a) Object C (the disk) has the greatest rotational inertia ()
b) Object B (the sphere) has the smallest rotational inertia ()
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Answer:
The block has an acceleration of
Explanation:
By means of Newton's second law it can be determine the acceleration of the block.
(1)
Where represents the net force, m is the mass and a is the acceleration.
(2)
The forces present in x are and
(the friction force):
Notice that subtracts to
since it is at the opposite direction.
The forces present in y balance each other:
Therefore:
(3)
But and writing (3) in terms of a it is get:
So the block has an acceleration of .
