College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Chapter 3, Problem 61PE
A sandal is dropped from the top of a 15.0-m-high mast on a ship moving at 1.75 m/s due south. Calculate the velocity of the sandal when it hits the deck of the ship: (a) relative to the ship and (b) relative to a stationary observer on shore. (c) Discuss how the answers give a consistent result for the position at which the sandal hits the deck.
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A newspaper boy throws papers sideways onto the porches of his customers while riding his bicycle along the sidewalk. The sidewalk is 15 m in front of the porches. The boy throws the papers at the horizontal speed of 6.0 m/s relative to himself, and rides the bieycie at a speed of 4.0 m/s relative to the sidewalk. (a) With what horizontal speed do the papers actually travel relative to the ground? (b) How far in advance of a porch should the boy throw a paper, so that it lands on target? (c) If he waits until he is directly opposite a porch, at what horizontal angle with respect to the sidewalk will he have to throw the paper, to hit the porch?
A sandal is dropped from the top of a 17-m-high mast on a ship moving at 1.75 m/s due south. Take the deck of the ship to be y=0 m.
Set up a table of knowns for the motion of the sandal relative to the ship. If the quantity is currently unknown, simply enter "unknown". Note that these variables are measured with respect to a coordinate system moving with the ship.
a=? m/s^2
Calculate the velocity of the sandal relative to the ship when it hits the deck. Check the sign of the velocity.
v=? m/s
Calculate the velocity of the sandal relative to a stationary observer on the shore when it hits the deck in terms of unit vector notation. Check your signs. Hint: Relative to a stationary observer on the shore, the vertical motion of the sandal is the same as that measured by an observer on the ship. In addition, the sandal will have a horizontal velocity. What is the horizontal velocity equal to?
v= ? m/s i+ ? m/s j
Chapter 3 Solutions
College Physics
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