What is the kinetic energy of an object that is sliding down a sphere from the top?

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What is the kinetic energy of an object that is sliding down a sphere from the top?

In terms of mass, g, radius and theta (degrees slid)

2006-12-07 23:15:30 · 2 answers · asked by ponies in outer space 1 in Science & Mathematics ➔ Physics

2 answers

Kinetic Energy + Potential Energy = Constant
Difference in Kinetic Energy=Difference in Potential Energy
Kinetic Energy = mgh
=mg(R - R Cos theta)
Kinetic Energy = mgR(1-Cos theta)

2006-12-08 00:46:07 · answer #1 · answered by Ormoz 3 · 0⤊ 0⤋

k = (1/2)m*x^2
x on the sphere is (R-Rsin (theta))
there for k = (1/2)m(R-Rsin(theta))^2

2006-12-08 08:49:48 · answer #2 · answered by Bahram E(IGS TEAM) 1 · 0⤊ 0⤋