**1. Homework Statement**

A pendulum consists of a mass M hanging at the bottom end of a massless rod of length l, which has a frictionless pivot at its top end. A mass m, moving as shown in the figure with velocity v impacts M and becomes embedded.

What is the smallest value of v sufficient to cause the pendulum (with embedded mass m) to swing clear over the top of its arc?

**2. Homework Equations**

[tex]p=mv[/tex]

**3. The Attempt at a Solution**

I realize that the acceleration must be [tex]\frac{v^2}{l}=g[/tex] to swing over the arc. Thus, I found:

[tex]v_f=mv_i/(m+M)[/tex], and set V

_{f}equal to [tex]\sqrt{lg}[/tex] from the first equation.

I got:

[tex]v_i=\frac{(m+M)\sqrt{lg}}{m}[/tex]

But the software returned:

Code:

`Your answer either contains an incorrect numerical multiplier or is missing one.`

Thanks!