A ball of mass 3kg and radius 60 cm rolls down an incline of 20 degrees from a height of 1.2m. Determine:
a. The total energy of the ball at the top of the incline
b. The total energy of the ball at the bottom of the incline
The mechanical energy will be conserved as there is no non conservative force acting on the ball. The total kinetic energy will change.
a) At the top of inline there is no kinetic energy only potential energy. Potential energy of an object can be calculated by calculating the potential energy of ceter of mass. The center of mass from ground is 1.2+0.3 =1.5m above. We will take the refrence at ground. Total kinetic energy is 0 at this point.
b)At bottom of incline the total kinetic energy will be equal to the change in potential energy. where it's the change in the height of COM.
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