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

A)The mass of a planet around the sun
B)The mass of a star around the moon
C)The gravitational constant
D)The mass of the sun
E)The mass of Earth

Question

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

A)The mass of a planet around the sun
B)The mass of a star around the moon
C)The gravitational constant
D)The mass of the sun
E)The mass of Earth

Quizplus · Accepted Answer

In the given formula, $m$ represents the mass of the smaller object being influenced by the gravitational force, such as a planet orbiting the sun.

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)​