Calculate the force of gravity between a newborn baby of mass 4 kg and the obstetrician of mass 80 kg, who is 0.1 m from the baby.
To calculate the force of gravity between the newborn baby and the obstetrician, we can use Newton's law of universal gravitation, which states that the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
The formula for calculating the force of gravity (F) is:
F = (G * m1 * m2) / r^2
Where:
F is the force of gravity,
G is the gravitational constant (approximately 6.674 × 10^-11 Nm^2/kg^2),
m1 and m2 are the masses of the objects involved, and
r is the distance between the centers of the two objects.
In this case, the mass of the newborn baby (m1) is 4 kg, the mass of the obstetrician (m2) is 80 kg, and the distance between them (r) is 0.1 m.
We can now substitute these values into the formula to find the force of gravity:
F = (6.674 × 10^-11 Nm^2/kg^2 * 4 kg * 80 kg) / (0.1 m)^2
First, let's calculate the numerator:
Numerator = 6.674 × 10^-11 Nm^2/kg^2 * 4 kg * 80 kg = 2.13472 × 10^-7 Nm^2
Now, let's calculate the denominator:
Denominator = (0.1 m)^2 = 0.01 m^2
Finally, we can calculate the force of gravity:
F = Numerator / Denominator = 2.13472 × 10^-7 Nm^2 / 0.01 m^2
F = 2.13472 × 10^-5 N
Therefore, the force of gravity between the newborn baby and the obstetrician is approximately 2.13472 × 10^-5 Newtons.