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).
G*M1*M2/d^2
M1 and M2 are the two masses.
d = 5.6*10^10 m
G = 6.67*10^-11 N*m^2/kg^2
Do the numbers for the attraction force in newtons
Yes. It should be in Newtons. :)
5.6
To calculate the force of gravity between the baby and Mars, you can use the formula for Newton's law of universal gravitation:
F = (G * m1 * m2) / r^2
Where:
F is the force of gravity.
G is the gravitational constant (approximately 6.67 * 10^-11 N m^2 / kg^2).
m1 and m2 are the masses of the objects (in this case, the baby and Mars).
r is the distance between the centers of the two objects.
Now, let's plug in the values:
m1 = 2.6 kg (mass of the baby)
m2 = 6.4 × 10^23 kg (mass of Mars)
r = 5.6 × 10^10 m (distance between the baby and Mars)
Substituting these values into the formula:
F = (6.67 * 10^-11 N m^2 / kg^2) * (2.6 kg) * (6.4 × 10^23 kg) / (5.6 × 10^10 m)^2
Simplifying the equation:
F = (6.67 * 10^-11 N m^2 / kg^2) * (2.6 kg) * (6.4 × 10^23 kg) / (5.6 × 10^10 m * 5.6 × 10^10 m)
F = (6.67 * 2.6 * 6.4 × 10^23 kg N m^2 kg^-2) / (5.6 × 5.6 × 10^10 m * 10^10 m)
F = (10.89 × 10^24 kg N m^2 kg^-2) / (31.36 × 10^20 m^2)
F = (10.89 kg N) / (31.36 m^2)
F ≈ 0.347 N
Therefore, the force of gravity between the newborn baby and Mars when Mars is at its closest to Earth is approximately 0.347 Newtons.