Question

Q7. Calculate the force of gravitation
between two object of masses 50 kg
and 120 kg respectively kept at a
distance of 10 m from one another. *​

Answer 1

★ Given :-

• Mass of object 1 = 50 kg
• Mass of object 2 = 120 kg
• Distance between the two objects = 10 m

★ To find :-

• Force of gravitation

★ Solution :-

When two objects of mass m 1 and m 2 are kept at a distance r from each other a gravitaional force of attraction is developed between them

This force is given by the formula ,

$\bigstar\boxed{\mathtt{ F = \dfrac{G m_1 m_2 }{r^{2}}}}$

here ,

• G = universal gravitaional constant = 6.67 × 10^ -11 N m² /kg ²
• m 1 = mass of object 1
• m 2 = mas of object 2
• r = distance between the two objects

Now let's substitute the values in the above equation

$\implies\mathtt{ F = \dfrac{6.67 \times {10}^{ - 11} \times 50 \times 120 }{100}}$

$\implies\mathtt{ F = 6.67 \times {10}^{ - 11} \times 5 \times 12}$

$\implies\mathtt{ F = 6.67 \times {10}^{ - 11} \times 60}$

$\implies\mathtt{ F = 400.02 \times {10}^{ - 11} N }$

The force of gravitation between two objects is 400.2 × 10 ^-11 N