The gravitational force between two masses is modeled using the following function: $$F _ { g } ( r ) = G \frac { m _ { 1 } m _ { 2 } } { r ^ { 2 } }$$
where $F _ { g } =$ gravitational force (newtons)
$$\begin{array} { l }
G = 6.673 ^ { \times } 10 ^ { - 11 } \frac { \mathrm { N.m } ^ { 2 } } { \mathrm {~kg} ^ { 2 } } \
m _ { 1 } = \text { mass number } 1 \text { (kilograms) } \
m _ { 2 } = \text { mass number } 2 \text { (kilograms) } \
r = \text { distance between centers of masses (meters) }
\end{array}$$ Which type of mathematical model is used here to describe the gravitational force?
A)Linear model
B)Nonlinear model
C)Exponential model
D)Trigonometric model

Question

The gravitational force between two masses is modeled using the following function: $$F _ { g } ( r ) = G \frac { m _ { 1 } m _ { 2 } } { r ^ { 2 } }$$
where $F _ { g } =$ gravitational force (newtons)
$$\begin{array} { l } 
G = 6.673 ^ { \times } 10 ^ { - 11 } \frac { \mathrm { N.m } ^ { 2 } } { \mathrm {~kg} ^ { 2 } } \
m _ { 1 } = \text { mass number } 1 \text { (kilograms) } \
m _ { 2 } = \text { mass number } 2 \text { (kilograms) } \
r = \text { distance between centers of masses (meters) }
\end{array}$$ Which type of mathematical model is used here to describe the gravitational force?
A)Linear model
B)Nonlinear model
C)Exponential model
D)Trigonometric model

Quizplus · Accepted Answer

The gravitational force equation is a nonlinear model because it involves the inverse square of the distance $ r $.

The Gravitational Force Between Two Masses Is Modeled Using the Following