In $\mathbf { F } ( t ) = - \frac { \operatorname { GmM } \mathbf { r } ( t ) } { \| \mathbf { r } ( t ) \| ^ { 3 } }$ , F represents

A)The force of attraction between the planet and the sun
B)The force of attraction between the moon and Earth
C)The gravitational force on Earth
D)The force between galaxies
E)The speed of the planet moving around the sun

Question

In $\mathbf { F } ( t ) = - \frac { \operatorname { GmM } \mathbf { r } ( t ) } { \| \mathbf { r } ( t ) \| ^ { 3 } }$ , F represents

A)The force of attraction between the planet and the sun
B)The force of attraction between the moon and Earth
C)The gravitational force on Earth
D)The force between galaxies
E)The speed of the planet moving around the sun

Quizplus · Accepted Answer

This equation represents the gravitational force between two masses, such as a planet and the sun, where G is the gravitational constant, m and M are the masses, and r(t) is the position vector.

In F(t)=−GmM⁡r(t)∥r(t)∥3\mathbf { F } ( t ) = - \frac { \operatorname { GmM } \mathbf { r } ( t ) } { \| \mathbf { r } ( t ) \| ^ { 3 } }F(t)=−∥r(t)∥3GmMr(t)​

In $\mathbf { F } ( t ) = - \frac { \operatorname { GmM } \mathbf { r } ( t ) } { \| \mathbf { r } ( t ) \| ^ { 3 } }$