Astronomy
1st Edition
ISBN: 9781938168284
Author: Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher: OpenStax
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Textbook Question
Chapter 13, Problem 13E
What evidence do we have for the existence of the Kuiper belt? What kind of objects are found there?
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A ball is thrown with an initial speed v, at an angle 6, with the horizontal. The horizontal range of the ball is R, and the ball reaches a maximum height R/4. In terms of R and g, find the following.
(a) the time interval during which the ball is in motion
2R
(b) the ball's speed at the peak of its path
v=
Rg 2
√ sin 26, V 3
(c) the initial vertical component of its velocity
Rg
sin ei
sin 20
(d) its initial speed
Rg
√ sin 20
×
(e) the angle 6, expressed in terms of arctan of a fraction.
1
(f) Suppose the ball is thrown at the same initial speed found in (d) but at the angle appropriate for reaching the greatest height that it can. Find this height.
hmax
R2
(g) Suppose the ball is thrown at the same initial speed but at the angle for greatest possible range. Find this maximum horizontal range.
Xmax
R√3
2
An outfielder throws a baseball to his catcher in an attempt to throw out a runner at home plate. The ball bounces once before reaching the catcher. Assume the angle at which the bounced ball leaves the ground is the same as the angle at which the outfielder threw it as shown in the figure, but that the ball's speed after the bounce is one-half of what it was before the bounce.
8
(a) Assuming the ball is always thrown with the same initial speed, at what angle & should the fielder throw the ball to make it go the same distance D with one bounce (blue path) as a ball thrown upward at 35.0° with no bounce (green path)?
24
(b) Determine the ratio of the time interval for the one-bounce throw to the flight time for the no-bounce throw.
Cone-bounce
no-bounce
0.940
A rocket is launched at an angle of 60.0° above the horizontal with an initial speed of 97 m/s. The rocket moves for 3.00 s along its initial line of motion with an acceleration of 28.0 m/s². At this time, its engines fail and the rocket proceeds to move as a projectile.
(a) Find the maximum altitude reached by the rocket.
1445.46
Your response differs from the correct answer by more than 10%. Double check your calculations. m
(b) Find its total time of flight.
36.16
x
Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. s
(c) Find its horizontal range.
1753.12
×
Your response differs from the correct answer by more than 10%. Double check your calculations. m
Chapter 13 Solutions
Astronomy
Ch. 13 - Why are asteroids and comets important to our...Ch. 13 - Give a brief description of the asteroid belt.Ch. 13 - Describe the main differences between C-type and...Ch. 13 - In addition to the ones mentioned in Exercise...Ch. 13 - Vesta is unusual as it contains what mineral on...Ch. 13 - Compare asteroids of the asteroid belt with...Ch. 13 - Briefly describe NASA’s Spaceguard Survey. How...Ch. 13 - Who first calculated the orbits of comets based on...Ch. 13 - Describe the nucleus of a typical comet and...Ch. 13 - Describe the two types of comet tails and how each...
Ch. 13 - What classification is given to objects such as...Ch. 13 - Describe the origin and eventual fate of the...Ch. 13 - What evidence do we have for the existence of the...Ch. 13 - Give brief descriptions of both the Kuiper belt...Ch. 13 - Give at least two reasons today’s astronomers are...Ch. 13 - Suppose you were designing a spacecraft that would...Ch. 13 - Suppose you were designing a spacecraft that would...Ch. 13 - Suppose a comet were discovered approaching the...Ch. 13 - We believe that chains of comet fragments like...Ch. 13 - Why have we found so many objects in the Kuiper...Ch. 13 - Why is it hard to give exact diameters for even...Ch. 13 - Refer to Example 13.1. How would the calculation...Ch. 13 - Refer to Example 13.1. How would the calculation...Ch. 13 - The calculation in Example 13.1 refers to the...Ch. 13 - If the Oort cloud contains 1012 comets, and ten...Ch. 13 - The mass of the asteroids is found mostly in the...Ch. 13 - Make a similar estimate for the mass of the Kuiper...Ch. 13 - What is the period of revolution about the Sun for...Ch. 13 - What is the period of revolution for a comet with...
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