Answer:
The expression of gravitational field due to mass [tex]m_![/tex] at a distance [tex]l_a[/tex]
Explanation:
We have given mass is [tex]m_1[/tex]
Distance of the point where we have to find the gravitational field is [tex]l_a[/tex]
Gravitational constant G
We have to find the gravitational filed
Gravitational field is given by [tex]g=\frac{Gm_1}{l_a^2}[/tex]
This will be the expression of gravitational field due to mass [tex]m_![/tex] at a distance [tex]l_a[/tex]
The expression for the gravitational field g₁ at position la in terms of m₁, la, and the gravitational constant G is:
[tex]g_1 = \frac{G\times m_1}{la^{2} }[/tex]
The gravitational field is the force field that exists in the space around every mass or group of masses.
The gravitational field of m₁ is denoted by g₁, and can be represented through the following expression.
[tex]g_1 = \frac{F_1}{m}[/tex] [1]
where,
We can calculate the force (F₁) between m₁ and m that are at a distance "la" using Newton's law of universal gravitation.
[tex]F_1 = G \frac{m \times m_1 }{la^{2} }[/tex] [2]
where,
If we replace [2] in [1], we get
[tex]g_1 = \frac{G \frac{m \times m_1 }{la^{2} }}{m} = \frac{G\times m_1}{la^{2} }[/tex]
The expression for the gravitational field g₁ at position la in terms of m₁, la, and the gravitational constant G is:
[tex]g_1 = \frac{G\times m_1}{la^{2} }[/tex]
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