Gighfy95271 Gighfy95271

09-12-2022
Physics

Answered

two objects attract each other with a gravitation force of magnitude 3.80 x 10-8 n when separated by a distance of 0.350 m. if the difference in mass of the objects is 7.50 kg, what is the mass for each of these objects?

Answer :

varshamittal029 varshamittal029

17-12-2022

x = 3, 2

Gravitational Force:

The traditional hypothesis that explains gravity is Newton's law of gravitation. Only the masses of two objects and their distance from one another are taken into account by this law. According to Newton's law of gravitation, the following is how much gravitational force there is between two objects.

F = GMm/r²

where,

r is the radius.

M and m are the masses of the objects.

G = Universal constant

Given,

Gravitational Force = 3.8 × 10⁻⁸ N

Distance between two objects = 0.35 m

Let,

The mass of one object is x kg.

Then,

The mass of the second object = (x - 7.5) kg.

F = GMm/r²

3.8 × 10⁻⁸ = 6.6 × 10⁻¹¹ × x × (x - 7.5)

x² - 7.5x - 575.76 = 0

x = 3, 2

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