Question

Find the mass of the other body if a 30kg object is placed within 5 meters and a force of 0.0005 N acts on them.​

Answer 1

Answer:

2000kg

Explanation:

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Answer 2

Answer:

The mass of the other is $6.19\times10^{-16}kg$.

Explanation:

Given the mass of the object, $m=30kg$

Let the mass of the other body be M.

Distance of separation, $r=5m$

The force acting on the object, $F=0.0005N=5\times 10^{-4} N$

According to Newton's universal law of gravitation, 'the force of attraction $F$ acting between any two bodies of masses $m_1~\&~m_2$ is directly proportional to the product of their masses and is inversely proportional to the square of the distance $r$ between them'.

$F=G\dfrac{m_{1}m_{2} }{r^{2} }$

where $G$ is called the gravitational constant, $=6.73\times10^{11} Nm^{2} /kg^{2}$

Using the given values in the above formula, we get

$5\times 10^{-4} =6.73\times10^{11}\times \dfrac{30\times M}{5^{2} }$

Thus the mass of the other body is

$M= \dfrac{5\times 10^{-4}\times25}{6.73\times10^{11}\times30}$

    $=\dfrac{ 10^{-15}\times25}{6.73\times6} =\dfrac{ 10^{-15}\times25}{40.38}$

    $=0.619\times10^{-15}kg=6.19\times10^{-16}kg$

Therefore, the mass of the other is $6.19\times10^{-16}kg$.

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