Question
Four objects of various masses, each denotedm, all have the same radius. They are all rolling at the same speed as they approach a curved
Four objects of various masses, each denotedm, all have the same radius. They are all rolling at the same speed as they approach a curved incline as shown below.
Part ARank the objects based on the maximum height they reach along the curved incline.Rank from largest to smallest. To rank items as equivalent, overlap them.View Available Hint(s)for Part AHint 1for Part A.Using energy conservation
As the objects roll up the incline, their initial kinetic and rotational kinetic energy gets converted into gravitational potential energy. Both kinetic and rotational kinetic energy are directly proportional to mass. Thus, objects with large mass will have proportionally more energy than objects with low mass. The same is true for gravitational potential energy.
Notice that when you equate the total initial kinetic energy and the final potential energy, you are equating two quantities that are both proportional to the mass. Therefore, the mass will cancel from the equation.
Hint 2for Part A.Moment of inertia
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