Max Height of Rolling Ball & Kinetic Energy Calculation

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SUMMARY

The discussion focuses on two key physics problems involving a hollow ball and a solid sphere. For the hollow ball rolling at 3.4 m/s, the maximum height reached on an incline can be calculated using energy conservation principles, where kinetic energy converts to potential energy. The solid sphere, weighing 2.4 kg and rolling at 6.6 m/s, requires calculations for both translational and rotational kinetic energy, utilizing the appropriate formulas for each type of energy. The rotational kinetic energy of a solid sphere can be derived from its moment of inertia and angular velocity.

PREREQUISITES
  • Understanding of kinetic and potential energy principles
  • Familiarity with the equations for translational and rotational kinetic energy
  • Knowledge of moment of inertia for solid and hollow spheres
  • Basic algebra for solving physics equations
NEXT STEPS
  • Calculate maximum height using energy conservation for a hollow sphere
  • Learn the formula for translational kinetic energy: KE_trans = 0.5 * m * v^2
  • Study the formula for rotational kinetic energy of a solid sphere: KE_rot = 0.5 * I * ω^2
  • Explore the relationship between linear velocity and angular velocity for rolling objects
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding energy transformations in rolling objects.

BMW25
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two question important !

1) A hollow ball is rolling along a horizontal surface at 3.4 m/s when it encounters an upward incline. If it rolls without slipping up the incline, what maximum height will it reach?
h= ...meter

2) A solid 2.4 kg sphere is rolling at 6.6 m/s . Find (a) its translational kinetic energy and (b) its rotational kinetic energy.


pleeeeeeeeeeeeease help me with that as soon as possible
 
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1, What is it's kinetic energy - if it stops at the top of the incline all this goes into potential energy what is the height.

2, You need the equation for rotational ke of a solid sphere (it's in wiki or your textbook)
Then since it is rolling you can get the radius from considering how fast a point on the circumference is moving along the plane.
 

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