DATA You have constructed a hair-spray-powered potato gun and want to find the muzzle speed υ 0 of the potatoes, the speed they have as they leave the end of the gun barrel. You use the same amount of hair spray each time you fire the gun. And you have confirmed by repeated firings at the same height that the muzzle speed is approximately the same for each firing. You climb on a microwave relay tower (with permission, of course) to launch the potatoes horizontally from different heights above the ground. Your friend measures the height of the gun barrel above the ground and the range R of each potato. You obtain the following data: Each of the values of h and R has some measurement error: The muzzle speed is not precisely the same each time, and the barrel isn’t precisely horizontal. So you use all of the measurements to get the best estimate of υ 0 . NO wind is blowing, so you decide to ignore air resistance. You use g = 9.80 m/s 2 in your analysis. (a) Select a way to represent the data well as a straight line, (b) Use the slope of the best-fit line from part (a) to calculate the average value of υ 0 . (c) What would be the horizontal range of a potato that is fired from ground level at an angle of 30.0° above the horizontal? Use the value of υ 0 that you calculated in part (b).
DATA You have constructed a hair-spray-powered potato gun and want to find the muzzle speed υ 0 of the potatoes, the speed they have as they leave the end of the gun barrel. You use the same amount of hair spray each time you fire the gun. And you have confirmed by repeated firings at the same height that the muzzle speed is approximately the same for each firing. You climb on a microwave relay tower (with permission, of course) to launch the potatoes horizontally from different heights above the ground. Your friend measures the height of the gun barrel above the ground and the range R of each potato. You obtain the following data: Each of the values of h and R has some measurement error: The muzzle speed is not precisely the same each time, and the barrel isn’t precisely horizontal. So you use all of the measurements to get the best estimate of υ 0 . NO wind is blowing, so you decide to ignore air resistance. You use g = 9.80 m/s 2 in your analysis. (a) Select a way to represent the data well as a straight line, (b) Use the slope of the best-fit line from part (a) to calculate the average value of υ 0 . (c) What would be the horizontal range of a potato that is fired from ground level at an angle of 30.0° above the horizontal? Use the value of υ 0 that you calculated in part (b).
DATA You have constructed a hair-spray-powered potato gun and want to find the muzzle speed υ0 of the potatoes, the speed they have as they leave the end of the gun barrel. You use the same amount of hair spray each time you fire the gun. And you have confirmed by repeated firings at the same height that the muzzle speed is approximately the same for each firing. You climb on a microwave relay tower (with permission, of course) to launch the potatoes horizontally from different heights above the ground. Your friend measures the height of the gun barrel above the ground and the range R of each potato. You obtain the following data:
Each of the values of h and R has some measurement error: The muzzle speed is not precisely the same each time, and the barrel isn’t precisely horizontal. So you use all of the measurements to get the best estimate of υ0. NO wind is blowing, so you decide to ignore air resistance. You use g = 9.80 m/s2 in your analysis. (a) Select a way to represent the data well as a straight line, (b) Use the slope of the best-fit line from part (a) to calculate the average value of υ0. (c) What would be the horizontal range of a potato that is fired from ground level at an angle of 30.0° above the horizontal? Use the value of υ0 that you calculated in part (b).
In 2004 two Martian probes successfully landed on the Red Planet. The final phase of the landing involved bouncing the probes until they came to rest (they were surrounded by protective inflated “balloons”). During one of the bounces, the telemetry (electronic data sent back to Earth) indicated that the probe too off at 25.0 m/s at an angle of 20 degrees and landed 110 m away (and then bounced again). Assuming the landing region was level, determine the acceleration due to gravity near the Martian surface.
Imagine an archer preparing to fire an arrow. The archer aims the arrow directly ahead, that is to say, parallel with the ground. Bows are drawn to the corner of the mouth when fired. Let's say, for this particular archer, that puts the arrow 1.8 m (about 5.5 feet) above the ground. Assume that we have measured the initial speed of arrows fired by this archer with this bow and it is 100 m/s. (Ignore wind resistance) a) At what point during the arrow's flight will it be moving the fastest? (Be careful here, think about it. You don't need to do any calculations to figure this out.)
b) How long will it take for the arrow to hit the ground?c) How far will the arrow travel during this time period?
A baseball player wants to hit a home run over the wall of a stadium. The player swings the baseball bat so that it hits the ball when it is at a height of 0.992 mm above the ground. The ball flies off at an angle of 30∘30∘ above the horizontal and at a speed of 35.9 m/sm/s. What is the tallest wall that the player can clear (i.e., get the ball over) if the wall is 84.2 m m away horizontally?
Please enter a numerical answer below. Accepted formats are numbers or "e" ba
Chapter 3 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
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