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1)

A solid spherical ball rolls on a horizontal surface at 10 m/s and continuous to roll up  on an inclined surface as shown in the figure.If  the mass of balls is 11 kg and frictional losses are negligible, the value of h where the ball stop and starts rolling down the inclination is (Assume , g =10 m/s2 )

 1172021909_p15.PNG


A) 8 m

B) 6 m

C) 7 m

D) 10 m

Answer:

Option C

Explanation:

Key idea  For rolling motion , the rotational linetic energy is given by expression k

KE=12mv2(1+k2R2)

 gIven, rolling velocity on horizontal surface. 

vH=  10 m/s  , mass of ball , m=11kg and g=10 m/s2

Kinetic energy of rotation,

KE=12×11×(1.0)2(1+25R2R2)

  (      For solid spherical ball,    k=25R )

        =11×50×75J

 By applying the law  pof energy comservation,

 KEi+vi=KEf+vf

      11×50×75+0=0+mgh

       h=5010×75=7 m

hence, the correct option is (c)