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

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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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

Relative to a stationary observer on the shore
The variables vo, v, and a represent the initial velocity,
final velocity, and acceleration, respectively, of the sandal.
Instructions : Show the directions of the x and y components
of these vectors by adjusting the sliders at the bottom.
Vy
ay
V0,y
V.
ar
V0,r
Transcribed Image Text:Relative to a stationary observer on the shore The variables vo, v, and a represent the initial velocity, final velocity, and acceleration, respectively, of the sandal. Instructions : Show the directions of the x and y components of these vectors by adjusting the sliders at the bottom. Vy ay V0,y V. ar V0,r
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