Aplanet has a mass of about 6.4 x 1023 kg, and its moon has a mass of about 9.6 x 1015 kg. if the magnitude of the gravitational force between the two bodies is 4.6 x 1015 n, how far apart are the planet and its moon?
a. 9.4 x 106
c. 4.6 x 109
b. 2.6 x 1015
d. 1.2 x 102

This can be solve using the law of gravitation:

F = G(m1*m2)/r^2

where:

·         F is the force between the masses;

·         G is the gravitational constant (6.674×10−11 N · (m/kg)2);

·         m1 is the first mass;

·         m2 is the second mass;

·         r is the distance between the centers of the masses.

4.6x10^15 N = ( 6.674×10−11 N · (m/kg)2)(6.4x10^23 kg)(9.6x10^15 kg)/r^2

Solving for r = 9.4 x10^6 m

weather forecasts are done by collecting data about the current state of the atmosphere mainly the temperature, humidity and wind and using meteorology, to determine the atmosphere that evolves over time. the h and l mean the high and low pressure. the red strip is a warm front. the blue strip is a cold front. the blue and red strip is a stationary front. the purple strip is a occluded front.

explanation: