Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 3, Problem 78P
To determine
To Show:For a ball launched from ground level with initial speed
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You fire a ball with an initial speed v0 at an angle ϕ above the surface of an incline, which is itself inclined at an angle θ above the horizontal (Figure 1). (a) Find the distance, measured along the incline, from the launch point to the point when the ball strikes the incline. (b) What angle ϕ gives the maximum range, measured along the incline? Ignore air resistance.
What is the initial x
-component of the ball's initial velocity?
Express your answer in terms of the variables v0
, θ, ϕ.
What is the initial y
-component of the ball's initial velocity?
Express your answer in terms of the variables v0
, θ, ϕ.
You'll need to write an equation that relates x
and y
for points along the incline. What is this equation?
Express your answer in terms of the variables x
, θ, and appropriate constants, if needed.
He was skiing off a slope inclined at theta = 26.7 degrees below horizontal at a speed of v0=22 m/s. He must clear a gorge and slope on the other side at height h = 14.7 meters below the edge of the higher slope.
How do you determine the maximum width of the gorge (in meters) so that he clears it?
You fire a ball with an initial speed v at an angle o above the surface of an
incline, which is itself inclined at an angle 0 above the horizontal
(a) Find the distance, measured along the incline, from the launch point to the point when
the ball strikes the incline.
(b) What angle ø gives the maximum range, measured along the incline? Ignore air resis-
tance.
Chapter 3 Solutions
Physics for Scientists and Engineers
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