Question

say that, during a storm, you can estimate how far away the storm is by counting the number seconds between lightening and thunder, and that every second represents another mile away.

1- The speed of light is approximately 2.98*10^8 m/s . Rewrite this (scientific notation) as a regular number (not scientific notation).

2- There are 1,609 meters in a mile. If the storm is one mile away, how long will it take for the light from the lightening to reach you?

3- If the storm is one mile away, how long will it take for the sound of the thunder to reach you? If the storm is one mile away, what is the difference in time between when the light reaches you and when the sound reaches you?

4- Now, assume that there is one second between the lightening and the thunder. How far away would the storm have to be?

Set up an algebraic equation and solve this problem, or explain your answer in words.

Answer #1

A bolt of lightening strikes a building in the city. You are on
top of a hill 15 km away.
1. How much longer does it take the sound of the thunder created
by the lightning to reach your ears than the light from the
lightning to reach your eyes if the sound waves travel at a speed
of 363 m/s and light travels at a speed of c = 3.00 x 108 m/s?
2. If the dominant frequency of...

You are located 35 meters away from a large blasting speaker at
a concert. It is very loud from where you are, registering a
reading of 82 on a decibel meter that you just happen to have
casually.
A) what is the power output of the speakers in watts?
B) how close would you have to be in order for the music to have
a reading of 120 dB? how far away would someone have to be in order
for...

Question:
If we had put the arrow and the lamp really far away in
Part I, what would be the distance between the (5cm converging)
lens and the image? What would the magnification be? What would the
orientation be? (Hint: there's both a mathematical and physical way
to understand this.)
Part I: Converging Lenses
First, grab the lamp, and place it at one end of the optical
track. Ensure that the light is directed to shine on the rest of...

a) A 1 meter long guitar string of linear mass density 2g/m3 is
put under tension until it resonates with a fundamental frequency
of 440 Hz. Determine the tension that produces this fundamental
frequency. Also determine the other of the first four harmonic
frequencies and draw diagrams illustrating what each of these
oscillations looks like on the string.
b) This string will produce sound waves in the air, determine
the wavelength of the sound waves.
c) Suppose you had two...

3. (a) An outfielder fields a baseball 280 ft away from home
plate and throws it directly to the catcher with an initial
velocity of 100 ft/s. Assume that the velocity v(t) of the ball
after t seconds satisfies the di↵erential equation dv dt = 1 10 v
because of air resistance. How long does it take for the ball to
reach home plate? (Ignore any vertical motion of the ball.)
(Instructor’s hint: Recall that a di↵erential equation of the...

3. (a) An outfielder fields a baseball 280 ft away from home
plate and throws it directly to the catcher with an initial
velocity of 100 ft/s. Assume that the velocity v(t) of the ball
after t seconds satisfies the di↵erential equation dv dt = 1 10 v
because of air resistance. How long does it take for the ball to
reach home plate? (Ignore any vertical motion of the ball.)
(Instructor’s hint: Recall that a di↵erential equation of the...

Please answer all parts. Thank you!
1. Explain the correspondence that lets us easily translate
between linear motion and rotational motion. What are the linear
analogues of the rotational quantities we have discussed in lecture
i.e. angle, angular velocity, angular acceleration and moment of
inertia? Where does the correspondence seem to fail?
2. Explain, in words, how we know that a freely spinning
asteroid in space is rotating about an axis that passes through its
center of mass?
3. You...

Please answer all, Thank you.
1. A firework is designed so that when it is fired directly
upwards, it explodes and splits into three equal-massed parts at
its peak. Someone launches the firework directly upwards and
measures the locations of two of the pieces of the firework. They
find that one piece landed 2 meters to the left and another piece
landed two meters in front of them. Where did the third piece of
land?
2. A Newton's cradle is...

How do you relate the most to this story and why? In two strong
paragraphs, explain what it is about the tone and/or imagery of the
story that speaks to you and why. Use some text examples to support
your response
Hills Like White Elephants (1927)
The hills across the valley of the Ebro1 were long and white. On
this side there was no shade and no trees and the station was
between two lines of rails in the sun....

How can social comparison theory be used to interpret the
success of Dove’s early Real Beauty campaign?
Dove’s Advertising Campaign Highs and Lows:
From Real Beauty to Real Success to Real
Controversy
In 2017, Jennifer Bremner, brand director of skin cleansing at
Unilever, had highly valued the Dove brand’s success. Over the
previous decade, Dove (best known for its skin cleanser products
such as body wash and moisturizer bars) had received multiple
prestigious awards for its branding and positioning
accomplishments....

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