Calculate the force of gravity between a newborn baby (mass = 2.6 kg) and the planet Mars (mass = 6.4 * 10^23kg) when Mars is at its closest to Earth (distance = 5.6 * 10^10m).

To calculate the force of gravity between the newborn baby and Mars, we can use the equation for gravitational force:

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/kg)^2),
m1 is the mass of the newborn baby,
m2 is the mass of Mars, and
r is the distance between the newborn baby and Mars.

Now let's plug in the values:

m1 = 2.6 kg
m2 = 6.4 * 10^23 kg
r = 5.6 * 10^10 m

To calculate the force of gravity, we can substitute these values into the equation and solve:

F = (6.67430 × 10^-11 N(m/kg)^2) * (2.6 kg) * (6.4 * 10^23 kg) / (5.6 * 10^10 m)^2

Now, calculating the numerator:

(6.67430 × 10^-11 N(m/kg)^2) * (2.6 kg) * (6.4 * 10^23 kg) = 1.2734256752 × 10^14 N(m)

Now calculating the denominator:

(5.6 * 10^10 m)^2 = 3.136 × 10^21 m^2

Finally, dividing the numerator by the denominator:

F = (1.2734256752 × 10^14 N(m)) / (3.136 × 10^21 m^2)

F ≈ 4.06 × 10^-8 N

Therefore, the force of gravity between the newborn baby and Mars, when Mars is at its closest to Earth, is approximately 4.06 × 10^-8 Newtons.