- #1
kayron
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Homework Statement
A sphere of mass 50gm and radius 10cm rolls without slipping with a velocity of 5cm/s.
Its total kinetic energy in ergs is?
kayron said:ok i got the answer. thank you.
i have a question though, i want to know what the question means when it says that the sphere rolls without slipping??
jhae2.718 said:When an object rolls without slipping, it means the velocity of the center of mass is equal to the radius times angular velocity, [itex]v_{cm}=r\omega[/itex]
This is called the nonslip condition. When an object rolls with slipping, the linear velocity is not [itex]r\omega[/itex]
Kinetic energy is the energy an object possesses due to its motion.
The kinetic energy of a rolling sphere can be calculated using the formula KE = 1/2 * mv^2, where m is the mass of the sphere and v is its velocity.
Yes, the mass of the sphere directly affects its kinetic energy. The larger the mass, the greater the kinetic energy.
The kinetic energy of a rolling sphere can be affected by its mass, velocity, and the surface it is rolling on.
Yes, the kinetic energy of a rolling sphere can be converted into other forms of energy, such as heat or sound, upon colliding with another object.