The mathematical expression for centripetal force is ______*1 pointmv^2/rmv/rv^2/rmv^3

1. Break Down the Problem

We need to identify which expression correctly represents the formula for centripetal force from the given options.

2. Relevant Concepts

The formula for centripetal force $F_c$ can be derived from the equations of motion and is given by: $F_c = \frac{mv^2}{r}$ where:

• $m$ is the mass of the object,
• $v$ is the velocity of the object,
• $r$ is the radius of the circular path.

3. Analysis and Detail

We can analyze the given options:

• $mv^2/r$ – This matches the formula for centripetal force.
• $mv$ – This does not represent centripetal force.
• $rv^2/r$ – This simplifies to $v^2$, which is incorrect.
• $mv^3$ – This also does not represent centripetal force.

4. Verify and Summarize

The only expression that correctly aligns with the formula for centripetal force is $\frac{mv^2}{r}$.

Final Answer

The mathematical expression for centripetal force is $\frac{mv^2}{r}$.