Question

The force F of gravity on a rocket varies directly with its mass m and inversely with the square of its distance d from Earth. Write a model for this combined variation. Write an equation to find the mass of the rocket in terms of F and d .

Answer 1

Model for the Combined variation  is  $F = \frac{km}{d^{2} }$

Equation to find the mass of the rocket in terms of F and d is :

$m=\frac{F d^{2} }{k}$

What is Force ?

A force is the quantity that change the motion of the object. Force is that influence which can cause any object having some mass, to change it's position or to accelerate from it's original position.

Force (F) and mass (m) of any object are  directly proportional to each other. More the mass of the object , more the force will require to accelerate it.

Mathematically, we can write the equation of force as :

F = m . a

where , m = mass of the object

             a = constant value

In the statement given,

As, force of gravity varies directly with its mass

Therefore, F= k m , where k is a constant

Also force is inversely varies with square of distance d

Thus, F = k / d²

Combining both equations :

$F = \frac{km}{d^{2} }$  

and the equation of mass in terms of F and d can be written as :

$m=\frac{F d^{2} }{k}$

To know more about Force and it's equation, visit :

brainly.com/question/14857727

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