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)