A regulation basketball has a 19 cm diameter and may be approximated as a thin spherical

shell.

How long will it take a basketball starting

from rest to roll without slipping 4.0 m down

an incline that makes an angle of 45.4" with

the horizontal? The acceleration of gravity is

9.81 m/s.

Answer in units of s.

1.27 sec

Step-by-step explanation:

From the given information:

For the ball, Moment of inertia

When the height h of the ball is:

h =  4.0 sin 45.4°

and the initial potential energy = mgh

⇒ mg(4.0 sin 45.4°)

According to the conservation of energy.

∴

v = 6.32 m/s

t = 1.27  sec

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step-by-step explanation:

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