ind the force of gravity between a newborn baby (mass = 2.9kg ) and the planet Mars (mass = 6.4×10^23kg), when Mars is at its closest to Earth (distance = 5.6×10^10m).
To find the force of gravity between the newborn baby and the planet Mars, we can use Newton's law of universal gravitation, which states that the force of gravity between two objects is given by the equation:
F = (G * m1 * m2) / r^2
Where:
F is the force of gravity
G is the gravitational constant (6.67430 × 10^-11 N m^2 kg^-2)
m1 and m2 are the masses of the objects
r is the distance between the centers of the two objects
In this case, the mass of the newborn baby (m1) is 2.9 kg, the mass of Mars (m2) is 6.4 × 10^23 kg, and the distance between them (r) is 5.6 × 10^10 m.
Using the provided values and Newton's law of universal gravitation, we can calculate the force of gravity between the newborn baby and Mars.
First, let's convert the distances to SI units:
mass of Mars (m2) = 6.4 × 10^23 kg
distance (r) = 5.6 × 10^10 m
Substituting the values into the equation:
F = (6.67430 × 10^-11 N m^2 kg^-2 * 2.9 kg * 6.4 × 10^23 kg) / (5.6 × 10^10 m)^2
Now, let's simplify the equation:
F = (6.67430 × 2.9 × 6.4 × 10^23) / (5.6 × 10^20)
To determine the force of gravity, we can evaluate this expression using a calculator:
F ≈ 4.15 × 10^20 N
Therefore, the force of gravity between the newborn baby and Mars, when Mars is at its closest, is approximately 4.15 × 10^20 Newtons.