Question

The equation for centripetal force can be derived by substituting the equation for centripetal acceleration into Newton’s second law.

Please select the best answer from the choices provided

T
F

Answer 1

True.

Step-by-step explanation:

Newton's Second Law of Motion states that the acceleration of a physical object is directly proportional to the net force acting on the physical object and inversely proportional to its mass.

Mathematically, it is given by the formula;

Force = mass * acceleration

`F = ma`

Centripetal acceleration is given by the formula;

`Acceleration, a = \frac {v^(2)}{r}`

Where;

v is the velocity.

r is the radius.

The equation for centripetal force can be derived by substituting the equation for centripetal acceleration into Newton’s second law.

Let centripetal force be Fc

Fc = ma

Substituting the value of "a" into the above formula;

`Fc = m \frac {v^(2)}{r}`

`Fc = \frac {mv^(2)}{r}`