The points are rolling chana a rump. They both have the same mass and the same a solut sphere and the other is a sold disk. Which object has the The suld disl We cannot tell without knowing the mass and radios The solid sphere They have the sppe moment of Inerila. IDONTRNOWYT

## Step 1<br />The problem involves the concept of moment of inertia, which is a measure of an object's resistance to changes in its rotational motion. The moment of inertia depends on the mass of the object and the distribution of that mass around the axis of rotation.<br /><br />## Step 2<br />In this problem, we have two objects: a solid sphere and a solid disk. Both objects have the same mass, but their shapes are different. The solid sphere has its mass evenly distributed around the axis of rotation, while the solid disk has its mass concentrated at the edge.<br /><br />## Step 3<br />The moment of inertia for a solid sphere is given by the formula \( \frac{2}{5}mr^2 \), where \( m \) is the mass and \( r \) is the radius.<br /><br />## Step 4<br />The moment of inertia for a solid disk is given by the formula \( \frac{1}{2}mr^2 \).<br /><br />## Step 5<br />Comparing the two formulas, we can see that the moment of inertia for the solid disk is greater than that for the solid sphere, because the factor of \( \frac{1}{2} \) is greater than \( \frac{2}{5} \).