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1. A sandal is dropped from the top of a 12.0-m-high mast on a ship moving at 1.45 m/s due south. (a) Relative to the ship, the path of the sandal is O vertically down in a straight line curved (b) Relative to the to a stationary observer, the path of the sandal is O vertically down in a straight line O curved (c) Set up a table of knowns for the motion of the sandal relative to the ship. Using the notation Ay=y-yo for displacement, y for position at time t, yo for the initial position, v for velocity at time t, vo for the initial velocity, and a for acceleration, determine what quantities are known and what are unknown. • Enter the values of some known quantities below. • Make sure you account for the signs of the vectors using the coordinate system used in Part 1 with the x-axis pointing to the south and the y-axis pointing upwards. ●

1. A sandal is dropped from the top of a 12.0-m-high mast on a ship moving at 1.45 m/s due south. (a) Relative to the ship, the path of the sandal is O vertically down in a straight line curved (b) Relative to the to a stationary observer, the path of the sandal is O vertically down in a straight line O curved (c) Set up a table of knowns for the motion of the sandal relative to the ship. Using the notation Ay=y-yo for displacement, y for position at time t, yo for the initial position, v for velocity at time t, vo for the initial velocity, and a for acceleration, determine what quantities are known and what are unknown. • Enter the values of some known quantities below. • Make sure you account for the signs of the vectors using the coordinate system used in Part 1 with the x-axis pointing to the south and the y-axis pointing upwards. ●

College Physics
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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1. A sandal is dropped from the top of a 12.0-m-high mast on a ship moving at 1.45 m/s due south. (a) Relative to the ship, the path of the sandal is vertically down in a straight line curved (b) Relative to the to a stationary observer, the path of the sandal is O vertically down in a straight line O curved ● (c) Set up a table of knowns for the motion of the sandal relative to the ship. Using the notation Ay=y-yo for displacement, y for position at time t, y for the initial position, v for velocity at time t, vô for the initial velocity, and a for acceleration, determine what quantities are known and what are unknown. • Enter the values of some known quantities below. • Make sure you account for the signs of the vectors using the coordinate system used in Part 1 with the x-axis pointing to the south and the y-axis pointing upwards. L.
Transcribed Image Text:1. A sandal is dropped from the top of a 12.0-m-high mast on a ship moving at 1.45 m/s due south. (a) Relative to the ship, the path of the sandal is vertically down in a straight line curved (b) Relative to the to a stationary observer, the path of the sandal is O vertically down in a straight line O curved ● (c) Set up a table of knowns for the motion of the sandal relative to the ship. Using the notation Ay=y-yo for displacement, y for position at time t, y for the initial position, v for velocity at time t, vô for the initial velocity, and a for acceleration, determine what quantities are known and what are unknown. • Enter the values of some known quantities below. • Make sure you account for the signs of the vectors using the coordinate system used in Part 1 with the x-axis pointing to the south and the y-axis pointing upwards. L.
Ay= Vo = a = (d) Is the motion of the sandal one with constant velocity or constant acceleration? (e) Choose an appropriate equation of motion to calculate the velocity of the sandal relative to the ship when it hits the deck. Ay = vt Ay= Vo + v 2 v=v₁ + at ✓² = √²+2aAy Ay=vot+at²/2 V= ✔m ✔m/s m/s² t V = (f) Calculate the velocity of the sandal relative to the ship when it hits the deck. Check the sign of the velocity. Enter to 3 significant figures m/s (g) 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? Enter to 3 significant figures ✔m/sit ✔m/sj Q
Transcribed Image Text:Ay= Vo = a = (d) Is the motion of the sandal one with constant velocity or constant acceleration? (e) Choose an appropriate equation of motion to calculate the velocity of the sandal relative to the ship when it hits the deck. Ay = vt Ay= Vo + v 2 v=v₁ + at ✓² = √²+2aAy Ay=vot+at²/2 V= ✔m ✔m/s m/s² t V = (f) Calculate the velocity of the sandal relative to the ship when it hits the deck. Check the sign of the velocity. Enter to 3 significant figures m/s (g) 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? Enter to 3 significant figures ✔m/sit ✔m/sj Q
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