Calculate the gravitation force of attraction between two planets of 1024kg and 1027kg separated by a distance of 1020meters.
Answer Details
The gravitational force of attraction between two objects is given by the formula:
F = G * (m1 * m2) / r^2
where F is the force of attraction, m1 and m2 are the masses of the two objects, r is the distance between their centers of mass, and G is the gravitational constant, which has a value of 6.67 x 10^-11 Nm^2/kg^2.
In this case, we are given the masses of the two planets (10^24 kg and 10^27 kg) and the distance between them (10^20 meters). We can plug these values into the formula to calculate the gravitational force of attraction:
F = (6.67 x 10^-11 Nm^2/kg^2) * ((10^24 kg) * (10^27 kg)) / (10^20 meters)^2
F = 6.67 x 10^-11 * 10^51 / 10^40
F = 6.67 x 10^11 N
Therefore, the gravitational force of attraction between the two planets is approximately 6.67 x 10^11 N. ("6.67N") is the correct answer.
Note: The answer may seem very large, but this is because the masses and distances involved are very large (in astronomical scales).