A solid sphere of mass 2 kg rolls up a 30^(@) incline with an initial speed of 10 ms^(-1). The maximum height reached by the sphere is (g = 10 ms^(-2))

A solid sphere of mass 2 kg rolls up a 30^(@) incline with an initial

1.	A solid sphere of mass 2 kg rolls up a 30^(@) incline with an initial speed of 10 ms^(-1). The maximum height reached by the sphere is (g = 10 ms^(-2))
Answer» 3.5 m 7 m 10.5 m 14 m Solution :In case of PURE rolling, `(K_(R))/(K_(T))=(2)/(5)` `:.` Total kinetic energy `= 7//5` TIMES the translational kinetic energy. At highest point, whole of the kinetic energy will be convered into potential energy `:. mgh=(7)/(5)((1)/(2)mv^(2))or h=(7v^(2))/(10g)=(7(10)^(2))/(10g)=(7(10)^(2))/(10xx10)=7m`