Question

Two particle of mass 1.0and 2.0kg are placed at a seperation of 50cm. Then the gravitational force between then is

Answer 1

$\huge\underline{\underline{\bf \orange{Question-}}}$

Two particle of mass 1.0and 2.0kg are placed at a seperation of 50cm. Then the gravitational force between them is

$\huge\underline{\underline{\bf \orange{Solution-}}}$

$\large\underline{\underline{\sf Given:}}$

• Mass ${\sf (m_1)}$ = 1kg
• Mass ${\sf (m_2)}$ = 2kg
• Separation between masses (r) = 50cm or 0.5m

$\large\underline{\underline{\sf To\:Find:}}$

• Gravitational Force ( F )

✪$\large{\boxed{\bf \blue{F = G\dfrac{m_1m_2}{r^2}} }}$

Here , G = Gravitational Constant

G = ${\sf 6.67×10^{-11}Nm^2kg^{-2}}$

$\implies{\sf F = 6.67×10^{-11}×\dfrac{1×2}{(0.5)^2} }$

$\implies{\sf F = 6.67×10^{-11}×\dfrac{2}{0.25}}$

$\implies{\sf F = \dfrac{13.34×10^{-11}}{0.25}}$

$\implies{\bf \red{Gravitational\: Force ( F) = 35.36×10^{-11}N }}$

$\huge\underline{\underline{\bf \orange{Answer-}}}$

Gravitational force between masses is ${\bf \red{35.36×10^{-11}N}}$.