Question

How long will it take a basketball starting from rest to roll without slipping 2.6 m down an incline that makes an angle of 30.8 ◦ with the horizontal? The acceleration of gravity is 9.81 m/s 2 .

Answer 1

Answer:

t = 1.02 s

Explanation:

friction = 0 N (no slipping)

downward force along the inclined plane = F = mgsin(30.8)

                                                                        F = ma

⇒                                                                      a = 9.81 sin(30.8)

                                                                         a = 5.02 m/s^2

now we have

displacement = s = 2.6 m

acceleration   = a = 5.02m/s^2

initial velocity = Vi = 0m/s

time                 = t =  ?

APPLYING THE 2ND EQUATION OF MOTION:

   S = (Vi)(t)+0.5at^2

2.6 = 0(t) + 0.5 * 5.02 * t^2

t = 1.02 s