Question

Question: True or false Newton’s 2nd law can be used to create the centripetal force equation as long as you know how to calculate centripetal acceleration.

Answer 1

Answer:

True

Step-by-step explanation:

Newton's second law of motion states that the rate of change of linear momentum is proportional to the applied for and takes place in the direction of the force.

This can be expressed mathematically as:

`\begin{gathered} F=(m\mleft(v-u\mright))/(t) \\ \text{where a = }(v-u)/(t) \end{gathered}`

Therefore, F = ma

To find the centripetal force:

`F_c=ma_c`

The centripetal acceleration is:

`\begin{gathered} a_c=(v^2)/(r) \\ F_c=(mv^2)/(r) \end{gathered}`

From the above equation, the centripetal force was gotten from the second law of motion when the centripetal acceleration has already been given