Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 16, Problem 28P
To determine
To draw: curves through the intersections corresponding to points.
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Solution:
The projectile motion equations:
x = x₁ + (vo cos 0) t
y = yo + (vo sin 0o) t - 1/2gt²
Call the starting point (xo, yo) = (0,0). To find (x, y) for the ending
point, use triangle trig on the hill angled at 20°:
x = d cos 20° = .940d and y = d sin 20° = .342d
Plug in:
.940d =
(vo coso) t (Eqn. 1)
.342d = (vo sin 0o) tgt² (Eqn. 2)
The variable t is not mentioned in the problem. We can remove it by solving
Eqn. 1 for t and plugging into Eqn. 2:
t
=
.940d
vo cos 00
.940d
vo cos o
-) - 12/19 (
Cleaning up and plugging in g = 9.8m:
.342d = (v₁ sino) (
.940d
vo cos 00
2
Evaluate the cross product A×B if A = 39, B = 59 and θ = 43°.
Evaluate the cross product C×D if C = 23 and D = 83. The angle between them is a right angle.
"You are out for an early morning walk. You walk 5.0 m, South
and 12.0 m, East. Then, you decided to walk further and go 4.0
m, Southwest and 6.0 m West. How far are you now from your
starting point and in what direction?
Tip:
1. Solve for "x1 to x4" and "y1 to y4" using trigonometric function
2. Find the total "x" and total "y".
3. Solve for resultant and angle
Chapter 16 Solutions
Physics for Scientists and Engineers
Ch. 16 - Prob. 1PCh. 16 - Prob. 2PCh. 16 - Prob. 3PCh. 16 - Prob. 4PCh. 16 - Prob. 5PCh. 16 - Prob. 6PCh. 16 - Prob. 7PCh. 16 - Prob. 8PCh. 16 - Prob. 9PCh. 16 - Prob. 10P
Ch. 16 - Prob. 11PCh. 16 - Prob. 12PCh. 16 - Prob. 13PCh. 16 - Prob. 14PCh. 16 - Prob. 15PCh. 16 - Prob. 16PCh. 16 - Prob. 17PCh. 16 - Prob. 18PCh. 16 - Prob. 19PCh. 16 - Prob. 20PCh. 16 - Prob. 21PCh. 16 - Prob. 22PCh. 16 - Prob. 23PCh. 16 - Prob. 24PCh. 16 - Prob. 25PCh. 16 - Prob. 26PCh. 16 - Prob. 27PCh. 16 - Prob. 28PCh. 16 - Prob. 29PCh. 16 - Prob. 30PCh. 16 - Prob. 31PCh. 16 - Prob. 32PCh. 16 - Prob. 33PCh. 16 - Prob. 34PCh. 16 - Prob. 35PCh. 16 - Prob. 36PCh. 16 - Prob. 37PCh. 16 - Prob. 38PCh. 16 - Prob. 39PCh. 16 - Prob. 40PCh. 16 - Prob. 41PCh. 16 - Prob. 42PCh. 16 - Prob. 43PCh. 16 - Prob. 44PCh. 16 - Prob. 45PCh. 16 - Prob. 46PCh. 16 - Prob. 47PCh. 16 - Prob. 48PCh. 16 - Prob. 49PCh. 16 - Prob. 50PCh. 16 - Prob. 51PCh. 16 - Prob. 52PCh. 16 - Prob. 53PCh. 16 - Prob. 54PCh. 16 - Prob. 55PCh. 16 - Prob. 56PCh. 16 - Prob. 57PCh. 16 - Prob. 58PCh. 16 - Prob. 59PCh. 16 - Prob. 60PCh. 16 - Prob. 61PCh. 16 - Prob. 62PCh. 16 - Prob. 63PCh. 16 - Prob. 64PCh. 16 - Prob. 65PCh. 16 - Prob. 66PCh. 16 - Prob. 67PCh. 16 - Prob. 68PCh. 16 - Prob. 69PCh. 16 - Prob. 70PCh. 16 - Prob. 71PCh. 16 - Prob. 72PCh. 16 - Prob. 73PCh. 16 - Prob. 74PCh. 16 - Prob. 75PCh. 16 - Prob. 76PCh. 16 - Prob. 77PCh. 16 - Prob. 78PCh. 16 - Prob. 79PCh. 16 - Prob. 80PCh. 16 - Prob. 81PCh. 16 - Prob. 82PCh. 16 - Prob. 83PCh. 16 - Prob. 84PCh. 16 - Prob. 85PCh. 16 - Prob. 86P
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