Calculate the force of gravity between a newborn baby of mass 4 kg and the obstetrician of mass 75 kg, who is 0.5 m from the baby.



N
Which exerts more gravitational force on the baby, Mars or the obstetrician, given that Mars has a mass of 6.4 1023 kg and is 8. 1010 m from Earth?
obstetrician
Mars
both exert the same force

By how much?

hint: Part C is asking for the ratio between the forces in Part A and Part B. Divide the bigger force by the smaller force to get your answer (should be greater than 1).

To calculate the force of gravity between two objects, we can use Newton's law of universal gravitation. The formula is as follows:

F = (G * m1 * m2) / r^2

Where:
F is the force of gravity
G is the gravitational constant (approximately 6.67430 × 10^-11 N m^2 / kg^2)
m1 and m2 are the masses of the two objects
r is the distance between the centers of the two objects

For the first part of the question, we need to calculate the force of gravity between the newborn baby and the obstetrician. The mass of the baby is 4 kg, the mass of the obstetrician is 75 kg, and the distance between them is 0.5 m.

Plugging these values into the formula:

F = (6.67430 × 10^-11 N m^2 / kg^2) * (4 kg) * (75 kg) / (0.5 m)^2

Calculating this, we get:

F = (6.67430 × 10^-11) * (4) * (75) / (0.5^2)

F = 1.335 × 10^-9 N

Therefore, the force of gravity between the newborn baby and the obstetrician is approximately 1.335 × 10^-9 N.

For the second part of the question, we need to compare the gravitational force between the baby and the obstetrician with the force between Mars and Earth. The mass of Mars is 6.4 × 10^23 kg, and the distance between Mars and Earth is 8 × 10^10 m.

Using the same formula, we can calculate the force between Mars and Earth:

F = (6.67430 × 10^-11 N m^2 / kg^2) * (6.4 × 10^23 kg) * (5.98 × 10^24 kg) / (8 × 10^10 m)^2

Calculating this, we get:

F = (6.67430 × 10^-11) * (6.4 × 10^23) * (5.98 × 10^24) / (8 × 10^10)^2

F = 2.4206 × 10^15 N

Therefore, the force of gravity between Mars and Earth is approximately 2.4206 × 10^15 N.

Since the force between the obstetrician and the baby is significantly smaller (1.335 × 10^-9 N) compared to the force between Mars and Earth (2.4206 × 10^15 N), we can conclude that Mars exerts more gravitational force on the baby than the obstetrician.