Physics

Physics

Problem

A sphere of mass, MM, and radius of 5.0 cm rolls, without slipping, down a sloping surface of length 1.5 m in a time of 6.0 s. (The moment of inertia of a sphere of mass, MM, and radius, RR, is 25MR2\frac{2}{5}MR^2 .) a. a Use the equations of linear kinematics to determine the speed of the sphere when it reaches the end of the sloping surface. b. b Calculate the angular velocity of the sphere at the end of the sloping surface. c. c Show that gh=710v2gh = \frac{7}{10}v^2 where hh is the height of the top of the sloping surface above its bottom. d. d Calculate hh .

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