Question

the mass of one body is 50 kg and that of another body is 100 kg. if the distance between their centres is 20m, calculate the gravitational force between them.​

Answer 1

Answer:

The gravitational force between two objects is 83.375 × 10⁻¹¹ N.

Explanation:

We have given the masses of two objects and the distance between them.

We have to calculate the gravitational force between two objects.

$\displaystyle{\bullet\:\sf\:Mass\:of\:one\:object\:(\:m_1\:)\:=\:50\:kg}$

$\displaystyle{\bullet\:\sf\:Mass\:of\:other\:object\:(\:m_2\:)\:=\:100\:kg}$

$\displaystyle{\bullet\:\sf\:Distance\:between\:objects\:(\:d\:)\:=\:20\:m}$

$\displaystyle{\bullet\:\sf\:Universal\:gravitational\:constant\:(\:G\:)\:=\:6.67\:\times\:10^{-\:11}\:N\:.\:m^2\:/\:kg^2}$

Now, we know that,

$\displaystyle{\pink{\sf\:F\:=\:G\:\dfrac{m_1\:m_2}{d^2}}}$

$\displaystyle{\implies\sf\:F\:=\:G\:\dfrac{50\:\times\:100}{(\:20\:)^2}}$

$\displaystyle{\implies\sf\:F\:=\:G\:\dfrac{50\:\times\:1\cancel{00}}{2\cancel{0}\:\times\:2\cancel{0}}}$

$\displaystyle{\implies\sf\:F\:=\:G\:\dfrac{50\:\times\:1}{2\:\times\:2}}$

$\displaystyle{\implies\sf\:F\:=\:G\:\cancel{\dfrac{50}{4}}}$

$\displaystyle{\implies\sf\:F\:=\:G\:\times\:12.5}$

$\displaystyle{\implies\sf\:F\:=\:6.67\:\times\:10^{-\:11}\:\times\:12.5}$

$\displaystyle{\implies\sf\:F\:=\:6.67\:\times\:12.5\:\times\:10^{-\:11}}$

$\displaystyle{\implies\underline{\boxed{\red{\sf\:F\:=\:83.375\:\times\:10^{-\:11}\:N}}}}$

Answer 2

Answer:

HOPE THIS HELP YOU..........