A science student is riding on a flatcar of a train traveling along a strait, horizontal track at a constant speed of 16 m/s. The student throws a ball into the air along a path he judges to make an initial angle of 73° with the horizontal (toward the rear of the car) and to be in line with the track. The student's professor, who is standing on the ground nearby, observes the ball to rise vertically. With what initial speed does the professor see the ball rise? 47.26 m/s 45.28_m/s 40.6_m/s А. D. 43.1_m/s В. Е. 49.59_m/s С. F. 52.33_m/s

College Physics
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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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A science student is riding on a flatcar of a train traveling along a strait, horizontal track at a constant
speed of 16 m/s. The student throws a ball into the air along a path he judges to make an initial angle of
73° with the horizontal (toward the rear of the car) and to be in line with the track. The student's
professor, who is standing on the ground nearby, observes the ball to rise vertically. With what initial
speed does the professor see the ball rise?
47.26 m/s
45.28_m/s
40.6_m/s
А.
D.
43.1_m/s
В.
Е.
49.59_m/s
С.
F.
52.33_m/s
Transcribed Image Text:A science student is riding on a flatcar of a train traveling along a strait, horizontal track at a constant speed of 16 m/s. The student throws a ball into the air along a path he judges to make an initial angle of 73° with the horizontal (toward the rear of the car) and to be in line with the track. The student's professor, who is standing on the ground nearby, observes the ball to rise vertically. With what initial speed does the professor see the ball rise? 47.26 m/s 45.28_m/s 40.6_m/s А. D. 43.1_m/s В. Е. 49.59_m/s С. F. 52.33_m/s
Expert Solution
Step 1

Conder,

two reference frames:

(1) In the student's reference frame (S), 

the initial speed of the ball, v0=?

the angle with which the student throws the ball, θ=73°

(2) In the professor's reference frame (S'), 

The professor sees the student moving in his reference frame at a speed, v=16 m/s

Now, writing the horizontal and vertical components of the speed of the ball in S reference frame:

Physics homework question answer, step 1, image 1

Now, writing the horizontal and vertical components of the speed of the ball in S' reference frame:

Physics homework question answer, step 1, image 2

Hence, the professor sees the ball rising with an initial speed of 54.72 m/s

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