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

M represents the mass of the sun in the context of gravitational force equations, where G is the gravitational constant, m is the mass of an object, 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 $\mathbf { F } ( t ) = - \frac { \operatorname { GmM } \mathbf { r } ( t ) } { \| \mathbf { r } ( t ) \| ^ { 3 } }$