A bucket of mass equals 18.7 kg(mb) is knocked off the side of a wall. The bucket falls 18.6 m to the bottom of the well. Attached to the bucket is a light rope that wraps around a cylinder of radius equals 48.7 cm and mass(mc) equals 3.26 kg. How fast is the bucket falling just before it hits the ground

A bucket of mass equals 18.7 kg(mb) is knocked off the side of a wall. The bucket falls 18.6 m to the bottom of the well. Attached to the bucket is a light rope that wraps around a cylinder of radius equals 48.7 cm and mass(mc) equals 3.26 kg. How fast is the bucket falling just before it hits the ground

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter2: One Dimensional Motion

Section: Chapter Questions

Problem 46PQ: In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A...

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In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for the rockets position measured from the center of the Earth is given by y(t)=(R3/2+3g2Rt)2/3j where R is the radius of the Earth (6.38 106 m) and g is the constant acceleration of an object in free fall near the Earths surface (9.81 m/s2). a. Derive expressions for vy(t) and ay(t). b. Plot y(t), vy(t), and ay(t). (A spreadsheet program would be helpful.) c. When will the rocket be at y=4R? d. What are vy and ay when y=4R?
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