Problem: A sphere of radius exttip{r_0}{r_0} = 23.0 cm and mass m = 1.20 kg starts from rest and rolls without slipping down a 36.0 degree incline that is 13.0 m long.a) Calculate its translational speed when it reaches the bottom.b) Calculate its rotational speed when it reaches the bottom.c) What is the ratio of translational to rotational kinetic energy at the bottom?d) Does your answer in part A depend on mass or radius of the ball? Part B? Part C?

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Problem Details

A sphere of radius = 23.0 cm and mass m = 1.20 kg starts from rest and rolls without slipping down a 36.0 degree incline that is 13.0 m long.
a) Calculate its translational speed when it reaches the bottom.
b) Calculate its rotational speed when it reaches the bottom.
c) What is the ratio of translational to rotational kinetic energy at the bottom?
d) Does your answer in part A depend on mass or radius of the ball? Part B? Part C?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Conservation of Energy in Rolling Motion concept. You can view video lessons to learn Conservation of Energy in Rolling Motion. Or if you need more Conservation of Energy in Rolling Motion practice, you can also practice Conservation of Energy in Rolling Motion practice problems.

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