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1B.21 reads "A baseball must weigh between 5.00 and 5.25 ounces (1 ounce 5 28.3 g). What is the wavelength of a 5.15-ounce baseball thrown at 92 mph?" I understand the basic premise of the question, but I'm kind of confused about the conversations? Can someone explain the initial steps
First convert the 5.15 ounces to grams using the conversion factor that is provided. Then you have to convert the 92 mph to meters per second by using the miles to meters conversion factor and the hours to minutes to seconds conversion factors (you might have to look this up online). Then plug the data into De Broglie's equation to solve for the wavelength.
This question is dealing with deBroglie's equation, as it is asking for the wavelength of something that has mass and velocity (momentum). Since the units are not what we want, we must use dimensional analysis to convert ounces to kilograms and miles per hour to meters per second. It is given that one ounce is equivalent to 28.3 grams. You would use dimensional analysis to convert the units from ounces to grams, then from grams to kilograms. There are 1,690.3 meters in one mile, and 3600 seconds in one hour. Using this, you would again use dimensional analysis to convert the units to meters per second. Then, you would substitute these values into deBroglie's equation to find the wavelength.
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