a) A metallic bar has a 200 g mass at poles. Does it change when it is taken to the equator?
(b) Is there any weight change when brought to the equator?
(c) What would happen when there is no acceleration due to gravity?
(d) Differentiate between acceleration due to gravity and universal gravitational constant.
(e) Derive a relation between G and g.
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Answer:
Hey Friend!
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Here's your answer:
a) The mass of the metallic bar remains the same when it is taken to the equator. Mass is an intrinsic property of an object and does not change with location.
b) The weight of the metallic bar would decrease when it is brought to the equator. Weight is the force exerted on an object due to gravity and depends on the mass of the object and the acceleration due to gravity. Since the acceleration due to gravity is less at the equator compared to the poles due to the Earth's rotation, the weight of the metallic bar would decrease.
c) When there is no acceleration due to gravity, the metallic bar would be weightless. Weight is the force exerted on an object due to gravity, and if there is no gravity, there would be no weight.
d) Acceleration due to gravity is the acceleration experienced by an object in a gravitational field. It depends on the mass of the object and the distance from the center of mass of the attracting body. Universal gravitational constant is a fundamental constant in physics that determines the strength of the gravitational force between two objects. It is denoted by G and has a fixed value.
e) The acceleration due to gravity (g) can be related to the universal gravitational constant (G) and the mass (M) and radius (R) of the Earth using the formula:
g = GM/R^2
Rearranging this formula, we get:
G = gR^2/M
Therefore, the universal gravitational constant can be calculated if the acceleration due to gravity, mass, and radius of the Earth are known
Hope that helped you!
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-A r i a