Question

What is the magnitude of the gravitational force exerted by a mass of 15 Kg mass on a 25 Kg mass seperated at a distance of 25cm?what is the acceleration produce on each mass?

Answer 1

Gravitational force = GMm/R²

Here value of G = 6.67 × 10-¹¹

M = 25 kg, m = 15 kg and

R or d = 25 cm or 0.25 m

F = ( 6.67 × 10-¹¹ × 15 × 25 )/( 0.25 )²

F = ( 6.67 × 10-¹¹ × 375 × 100² )/(25 × 25)

F = ( 6.67 × 10-¹¹ × 10⁴ × 15 )/25

F = (6.67 × 10-⁷ × 3)/5

F = 4.002 × 10-⁷ N

Thus the force acting between them is negligible.

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Since F = ma

4.002 × 10-⁷ = 15 kg × a

0.2688 × 10-⁷ m/s² = a

Or 2.7 × 10-⁸ m/s² = a

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4.002 × 10-⁷ = 25 kg × a

0.16 × 10-⁷ m/s² = a

Or 1.6 × 10-⁸ m/s² = a