Calculate the force of gravity between a newborn baby of mass 4 kg and the obstetrician of mass 75 kg, who is 0.3 m from the baby. Which exerts more gravitational force on the baby, Mars or the obstetrician? By how much?
Force of gravity between a new-born baby and the obstetrician.
To identify: The object that will exert more force on the baby along with the amount of excessive force.
Answer to Problem 27A
The force of gravity between baby and the obstetrician
Explanation of Solution
Given:
The mass of new-born baby is,
The mass of the obstetrician is,
Distance between new-born baby and obstetrician,
The mass of the planet mars is,
Mars position closest to Earth,
Formula Used:
From Newton’s law of gravitation,
Calculation:
As gravitational constant
On substituting the values in above relation, the force of gravity between new-born baby and the obstetrician,
And, the force of gravity between a new-born baby and the planet Mars, when Mars is closest to earth is
Here,
So, the obstetrician exerts more force on the baby by,
Conclusion:
Therefore, the force of gravity between a new-born baby and the obstetrician
The obstetrician exerts more force on the baby by 8.33 times.
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