Suppose that the speed of light in a vacuum (c), instead of being a whopping 3 x 108 m/s, was a rather sluggish 40.0 mph. How would that affect everyday life? Throughout this problem we are going to assume that c = 40.0 mph and that time dilation is in full effect. Let's start by assuming that it is fairly easy to accelerate to speeds close to 40.0 mph. We will also ignore gravity throughout this problem. Otherwise, the earth (with an escape velocity of 11 km/s) would have turned into a black hole long ago. Part A Suppose that a bored student wants to go to a restaurant for lunch, but she only has an hour in which to go, eat, and get back in time for class. Considering that it usually takes about 30 minutes in most restaurants to get served and to eat, what is the farthest restaurant the student can go to without being late for class? Assume in this part that the student has a car that can accelerate to its top speed in a negligible amount of time. Also, the local speed limit is 30 mph and the student would not like to get a speeding ticket. Express your answer in miles. ▸ View Available Hint(s) dmax 7.50 miles
Suppose that the speed of light in a vacuum (c), instead of being a whopping 3 x 108 m/s, was a rather sluggish 40.0 mph. How would that affect everyday life? Throughout this problem we are going to assume that c = 40.0 mph and that time dilation is in full effect. Let's start by assuming that it is fairly easy to accelerate to speeds close to 40.0 mph. We will also ignore gravity throughout this problem. Otherwise, the earth (with an escape velocity of 11 km/s) would have turned into a black hole long ago. Part A Suppose that a bored student wants to go to a restaurant for lunch, but she only has an hour in which to go, eat, and get back in time for class. Considering that it usually takes about 30 minutes in most restaurants to get served and to eat, what is the farthest restaurant the student can go to without being late for class? Assume in this part that the student has a car that can accelerate to its top speed in a negligible amount of time. Also, the local speed limit is 30 mph and the student would not like to get a speeding ticket. Express your answer in miles. ▸ View Available Hint(s) dmax 7.50 miles
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Transcribed Image Text:Suppose that the speed of light in a vacuum (c), instead of
being a whopping 3 × 108 m/s, was a rather sluggish
40.0 mph. How would that affect everyday life? Throughout
this problem we are going to assume that c = 40.0 mph
and that time dilation is in full effect. Let's start by assuming
that it is fairly easy to accelerate to speeds close to
40.0 mph. We will also ignore gravity throughout this
problem. Otherwise, the earth (with an escape velocity of
11 km/s) would have turned into a black hole long ago.
Part A
Review | Constants
Suppose that a bored student wants to go to a restaurant for lunch, but she only has an hour in which to go, eat, and get back in time for class.
Considering that it usually takes about 30 minutes in most restaurants to get served and to eat, what is the farthest restaurant the student can go
to without being late for class? Assume in this part that the student has a car that can accelerate to its top speed in a negligible amount of time.
Also, the local speed limit is 30 mph and the student would not like to get a speeding ticket.
Express your answer in miles.
► View Available Hint(s)
dmax 7.50 miles
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