21st Century Astronomy (sixth Edition)
6th Edition
ISBN: 9780393675504
Author: Laura Kay, Stacy Palen, George Blumenthal
Publisher: W. W. Norton & Company
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Chapter 12, Problem 35QP
To determine
The impact energy associated with the moving asteroid and its equivalent in
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need help with the first part
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
Chapter 12 Solutions
21st Century Astronomy (sixth Edition)
Ch. 12.1 - Prob. 12.1CYUCh. 12.2 - Prob. 12.2CYUCh. 12.3 - Prob. 12.3ACYUCh. 12.3 - Prob. 12.3BCYUCh. 12.4 - Prob. 12.4CYUCh. 12.5 - Prob. 12.5CYUCh. 12 - Prob. 1QPCh. 12 - Prob. 2QPCh. 12 - Prob. 3QPCh. 12 - Prob. 4QP
Ch. 12 - Prob. 5QPCh. 12 - Prob. 6QPCh. 12 - Prob. 7QPCh. 12 - Prob. 8QPCh. 12 - Prob. 9QPCh. 12 - Prob. 10QPCh. 12 - Prob. 11QPCh. 12 - Prob. 12QPCh. 12 - Prob. 13QPCh. 12 - Prob. 14QPCh. 12 - Prob. 15QPCh. 12 - Prob. 16QPCh. 12 - Prob. 17QPCh. 12 - Prob. 18QPCh. 12 - Prob. 19QPCh. 12 - Prob. 20QPCh. 12 - Prob. 22QPCh. 12 - Prob. 23QPCh. 12 - Prob. 24QPCh. 12 - Prob. 25QPCh. 12 - Prob. 26QPCh. 12 - Prob. 27QPCh. 12 - Prob. 28QPCh. 12 - Prob. 29QPCh. 12 - Prob. 30QPCh. 12 - Prob. 31QPCh. 12 - Prob. 32QPCh. 12 - Prob. 33QPCh. 12 - Prob. 34QPCh. 12 - Prob. 35QPCh. 12 - Prob. 36QPCh. 12 - Prob. 37QPCh. 12 - Prob. 38QPCh. 12 - Prob. 39QPCh. 12 - Prob. 40QPCh. 12 - Prob. 41QPCh. 12 - Prob. 42QPCh. 12 - Prob. 43QPCh. 12 - Prob. 44QP
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