Question

In the equation for centripetal force, which expression represents the centripetal acceleration of the object? mv2 StartFraction m over r EndFraction StartFraction v Superscript 2 Baseline over r EndFraction StartFraction m times v Superscript 2 Baseline over r EndFraction

Answer 1

Answer: $\frac{V^{2}}{r}$

Explanation:

According to Newton's 2nd Law of motion the force $F$ is proportional to the mass $Fm$ and acceleration $a$:

$F=m.a$ (1)

On the other hand, the equation for the Centripetal force is:

$F=\frac{mV^{2}}{r}$ (2)

Where:

$V$ is the velocity

$r$ is the radius of the circular motion

Making (1) and (2) equal:

$m.a=\frac{mV^{2}}{r}$ (3)

Hence:

$a=\frac{V^{2}}{r}$ This is the expression for the centripetal acceleration

It should be noted, this acceleration is directed toward the center of the circumference of the circular motion (that's why it's called centripetal acceleration).

Answer 2

Answer:

c

Explanation: