A ball of mass 5.5 kg is released from rest from the top of a 4.0 m long hill that is inclined at 30°, as shown in figure. The ball rolls along the hill without slipping. The rotational inertia of a sphere of mass M and radius R about its center of mass is MR2. (cos 30° = 0.866, sin 30° = 0.5, g = 9.8m/s2) %3D a) Calculate the force due to friction acting on the ball as it rolls along the hill, b) Calculate the linear speed of the center of mass of the ball when it reaches the bottom edge of the hill, c) A wagon containing a box is at rest on the ground below the hill so that the ball falls the vertical distance of 3.0 m and lands and sticks in the center of the box. The total mass of the wagon and the box is 12 kg. Calculate the horizontal speed of the wagon immediately after the ball lands in it.

A ball of mass 5.5 kg is released from rest from the top of a 4.0 m long hill that is inclined at 30°, as shown in figure. The ball rolls along the hill without slipping. The rotational inertia of a sphere of mass M and radius R about its center of mass is MR2. (cos 30° = 0.866, sin 30° = 0.5, g = 9.8m/s2) %3D a) Calculate the force due to friction acting on the ball as it rolls along the hill, b) Calculate the linear speed of the center of mass of the ball when it reaches the bottom edge of the hill, c) A wagon containing a box is at rest on the ground below the hill so that the ball falls the vertical distance of 3.0 m and lands and sticks in the center of the box. The total mass of the wagon and the box is 12 kg. Calculate the horizontal speed of the wagon immediately after the ball lands in it.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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