a. The box will haveboth the greater kinetic energy and the greater speed. b. Th

Question

a. The box will haveboth the greater kinetic energy and the greater speed. b. The hoop will haveboth the greater kinetic energy and the greater speed. c. Both will have thesame kinetic energy but the hoop will have the greater speed. d. Both will have thesame kinetic energy but the box will have the greater speed. A box slides down a frictionless incline, and a hoop rolls downanother incline. Both inclines have the same height, and both thebox and the hoop have the same mass. If both objects start fromrest, upon reaching the bottom of the incline which one will havethe greater kinetic energy and which one will have the greaterspeed? a. The box will haveboth the greater kinetic energy and the greater speed. b. The hoop will haveboth the greater kinetic energy and the greater speed. c. Both will have thesame kinetic energy but the hoop will have the greater speed. d. Both will have thesame kinetic energy but the box will have the greater speed.

Explanation / Answer

The answer is D because both items are starting at the sameheight with the same mass therefore the potential energies will bethe same meaning the kinetic at the bottom will also be thesame The box will have more speed because some of the hoops kineticenergy will be in the form of rotational kinetic energy and rotational speed lowering its translationial speed. All of thebox's kinetic energy will be translational meaning its speed willbe faster.

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