A solid ball with a mass of 3.36 kg and a radius of 0.099 m starts from rest at a height of 4.40 m and rolls down a 47.5° slope, as shown. The acceleration of gravity is 9.81 m/s2. What is the translational speed of the ball when it leaves the incline? Answer in units of m/s.

A solid ball with a mass of 3.36 kg and a radius of 0.099 m starts from rest at a height of 4.40 m and rolls down a 47.5° slope, as shown. The acceleration of gravity is 9.81 m/s2. What is the translational speed of the ball when it leaves the incline? Answer in units of m/s.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter12: Rotation I: Kinematics And Dynamics

Section: Chapter Questions

Problem 69PQ: The propeller of an aircraft accelerates from rest with an angular acceleration = 4t + 6, where is...

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

Solve it correctly please. I

A solid ball with a mass of 3.36 kg and a
radius of 0.099 m starts from rest at a height
of 4.40 m and rolls down a 47.5° slope, as
shown.
The acceleration of gravity is 9.81 m/s2.
What is the translational speed of the ball
when it leaves the incline?
Answer in units of m/s.

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