A 2.1 kg solid sphere ( I= 0.4mR 2 ) rolls along a horizontal surface with a spe

Question

A 2.1 kg solid sphere ( I= 0.4mR2) rolls along a horizontal surface with a speed of 7.8 m/s.What is the total kinetic energy of the sphere?

2 Suppose a solid sphere of mass 450 g and radius 5.0 cm rolls without slipping down an inclined plane starting from rest. The inclined plane is 3.7 m long and makes an angel of 15 ofrom the horizontal. The linear velocity of the sphere at the bottom of the incline is _______ m/s.

3 A roofing tile slides down a roof and falls off the roof edge 10 m above the ground at a speed of 6 m/s. The roof makes an angle of 30 degrees to the horizontal. At what horizontal distance from the exit point on the roof does the tile land?

Explanation / Answer

K.E.=1/2*m*v^2+1/2*I*w^2

=1/2*1.4*m*v^2

=89.43 J ans

2.)applying conservation of energy principle

K.E.=P.E.

1/2*1.4*m*v^2=m*g*h*sintheta

v=3.66 m/s

3.)time s=ut+1/2*g*t^2

t=1.15 s

so horizontal distance from the exit point on the roof does the tile land

=6*cos(30)*1.15

=5.97 m ans

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