Question

Find the force of gravity between a newborn baby (mass = 3.5 kg

) and planet Mars (mass = 6.4×1023kg
) when Mars is at its closest to Earth (distance = 5.6×1010m
).

Answer 1

For solving this problem,we have to apply Newton’s law of gravitation which defines the magnitude of the force between two objects.

Gravitational Force -

`\:\:\:\:\:\:\:\sf \underline{\boxed{\sf{F=G* ( \: m_1 \: m_2)/(r^2)}}}`

Where:-

• F = Force of gravity.
• G = Gravitational constant.(Which is 6.7 × 10⁻¹¹ Nm² kg⁻²)
• m₁ = Mass of one object.
• m₂ = Mass of the other object.
• r = Distance between the two objects

As per question, we are given -

• Mass of newborn baby, m₁ = 3.5kg
• Mass of Mars, m₂ = 6.4×10²³ kg
• Distance, r = 5.6 ×10¹⁰m

Now that required values are given, so we can substitute the values into the formula and solve for Force of gravity:-

`\:\:\:\:\:\:\:\longrightarrow \sf Force_((gravity) )= 6.7* 10^(-11) * (3.5* 6.4* 10^(23))/((5.6* 10^(10))^2)\\`

`\:\:\:\:\:\:\:\longrightarrow \sf Force_((gravity) )=6.7* 10^(-11) * (1400.46)/(23172.08)\\`

`\:\:\:\:\:\:\:\longrightarrow \sf Force_((gravity) )=6.7* 10^(-11) * 0.06\\`

`\:\:\:\:\:\:\:\longrightarrow \sf \underline{Force_((gravity) ) = 4.02* 10^(-12)\:N}\\`

• Therefore, the force of gravitation between newborn baby and Mars is 4.02 × 10⁻¹² N.