DATA A spring-gun projects a small rock from the ground with speed υ 0 try at an angle θ 0 above the ground. You have been asked to determine υ 0 . From the way the spring-gun is constructed, you know that to a good approximation υ 0 is independent of the launch angle. You go to a level, open field, select a launch angle, and measure the horizontal distance the rock travels. You use g = 9.80 m/s 2 and ignore the small height of the end of the spring-gun’s barrel above the ground. Since your measurement includes some uncertainty in values measured for the launch angle and for the horizontal range, you repeat the measurement for several launch angles and obtain the results given in Fig. 3.76 . You Figure P3.76 ignore air resistance because there is no wind and the rock is small and heavy, (a) Select a way to represent the data well as a straight line, (b) Use the slope of the best straight-line fit to your data from part (a) to calculate υ 0 . (C) When the launch angle is 36.9°, what maximum height above the ground does the rock reach?
DATA A spring-gun projects a small rock from the ground with speed υ 0 try at an angle θ 0 above the ground. You have been asked to determine υ 0 . From the way the spring-gun is constructed, you know that to a good approximation υ 0 is independent of the launch angle. You go to a level, open field, select a launch angle, and measure the horizontal distance the rock travels. You use g = 9.80 m/s 2 and ignore the small height of the end of the spring-gun’s barrel above the ground. Since your measurement includes some uncertainty in values measured for the launch angle and for the horizontal range, you repeat the measurement for several launch angles and obtain the results given in Fig. 3.76 . You Figure P3.76 ignore air resistance because there is no wind and the rock is small and heavy, (a) Select a way to represent the data well as a straight line, (b) Use the slope of the best straight-line fit to your data from part (a) to calculate υ 0 . (C) When the launch angle is 36.9°, what maximum height above the ground does the rock reach?
DATA A spring-gun projects a small rock from the ground with speed υ0 try at an angle θ0 above the ground. You have been asked to determine υ0. From the way the spring-gun is constructed, you know that to a good approximation υ0 is independent of the launch angle. You go to a level, open field, select a launch angle, and measure the horizontal distance the rock travels. You use g = 9.80 m/s2 and ignore the small height of the end of the spring-gun’s barrel above the ground. Since your measurement includes some uncertainty in values measured for the launch angle and for the horizontal range, you repeat the measurement for several launch angles and obtain the results given in Fig. 3.76. You
Figure P3.76
ignore air resistance because there is no wind and the rock is small and heavy, (a) Select a way to represent the data well as a straight line, (b) Use the slope of the best straight-line fit to your data from part (a) to calculate υ0. (C) When the launch angle is 36.9°, what maximum height above the ground does the rock reach?
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As shown in the figure, a stone is projected at a cliff of height h with an initial speed of 43.8 m/s directed at angle 0
= 54.4° above the horizontal. The stone strikes at A, 4.98 s after launching. Find the height h of
the cliff.
H
A
h
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Find the speed of the stone just before impact at A.
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And find the maximum height H reached above the ground.
You are holding a basketball 1.80 m above the ground, ready to shoot the ball with an initial velocity that is 50.0° above the horizontal. You want the basketball to pass through a hoop that is 20.0 m to the right of you, 3.00 m above the ground.a) With what speed should you launch the basketball?b) How long will the basketball take to reach the hoop?c) What will be the speed of the basketball when it passes through the hoop?
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Chapter 3 Solutions
University Physics with Modern Physics (14th Edition)
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