Calculate the force of gravity between a newborn baby of mass 4 kg and the obstetrician of mass 60 kg, who is 0.5 m from the baby.
1 N
Which exerts more gravitational force on the baby, Mars or the obstetrician?
2
obstetrician
Mars
both exert the same force
.
By how much?
what school do you go to?
To calculate the force of gravity between two objects, you can use the formula:
F = (G * m1 * m2) / r^2
where F is the force of gravity, G is the gravitational constant (6.67430 x 10^-11 N.m^2/kg^2), m1 and m2 are the masses of the objects, and r is the distance between the objects.
Let's calculate the force of gravity between the newborn baby and the obstetrician:
m1 (mass of the baby) = 4 kg
m2 (mass of the obstetrician) = 60 kg
r (distance between them) = 0.5 m
Plugging in these values into the formula, we get:
F = (6.67430 x 10^-11 N.m^2/kg^2 * 4 kg * 60 kg) / (0.5 m)^2
Simplifying the equation further:
F = (6.67430 x 10^-11 * 4 * 60) / (0.5 * 0.5)
F = (6.67430 x 10^-11 * 4 * 60) / 0.25
F = (6.67430 x 10^-11 * 240) / 0.25
F = 1.601232 × 10^-9 N
Therefore, the force of gravity between the newborn baby and the obstetrician is approximately 1.601232 x 10^-9 N.
Now, to determine which exerts more gravitational force on the baby, Mars or the obstetrician, we need to compare the force of gravity between the baby and Mars.
The mass of Mars is approximately 0.64171 x 10^24 kg.
Using the same formula and plugging in the values:
F = (6.67430 x 10^-11 N.m^2/kg^2 * 4 kg * 0.64171 x 10^24 kg) / (distance between Mars and the baby)^2
The average distance between Mars and Earth is approximately 225 million km (225 x 10^6 km) or 2.25 x 10^11 m.
F = (6.67430 x 10^-11 * 4 * 0.64171 x 10^24) / (2.25 x 10^11)^2
Simplifying the equation:
F = (6.67430 x 10^-11 * 4 * 0.64171 x 10^24) / 5.0625 x 10^22
F = 1.071592 x 10^4 N
Therefore, the force of gravity between the baby and Mars is approximately 1.071592 x 10^4 N.
Comparing the two forces, we can see that the gravitational force exerted by Mars is significantly higher than the gravitational force exerted by the obstetrician. Therefore, Mars exerts more gravitational force on the baby than the obstetrician. The difference between the two forces is the force of gravity exerted by Mars minus the force of gravity exerted by the obstetrician:
Difference = 1.071592 x 10^4 N - 1.601232 x 10^-9 N
Difference = 1.071592 x 10^4 N
Therefore, Mars exerts approximately 1.071592 x 10^4 N more gravitational force on the baby than the obstetrician.