4 years ago

Describe how you determine whether an object is in motion

Physics

1 answer:

Flauer [41]4 years ago

7 0

An object is in motion when its distance from another object is changing.

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Given the initial wavefunction Ψ (x, 0) = Axexp (-k x) withx> 0 andk> 0, and Ψ (x, 0) = 0 forx <0, what value must A ta

madam [21]

Answer with explanation:

The Normalization Principle states that

$\int_{-\infty }^{+\infty }f(x)dx=1$

Given

$f(x)=xe^{-kx}(x>0\\\\0(x$

Thus solving the integral we get

$\int_{0 }^{+\infty }A\cdot xe^{-kx}dx=1\\\\A\int_{0 }^{+\infty }\cdot xe^{-kx}dx=1$

The integral shall be solved using chain rule initially and finally we shall apply the limits as shown below

$I=\int xe^{-kx}dx\\\\x\int e^{-kx}dx-\int \frac{d(x)}{dx}\int e^{-kx}dx\\\\-\frac{xe^{-kx}}{k}-\int 1\cdot \frac{-e^{-kx}}{k}\\\\\therefore I=\frac{e^{-kx}}{k}-\frac{xe^{-kx}}{k}$

Applying the limits and solving for A we get

$I=\frac{1}{k}[\frac{1}{e^{kx}}-\frac{x}{e^{kx}}]_{0}^{+\infty }\\\\I=-\frac{1}{k}\\\\\therefore A=-k$

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3 years ago

Urgent!!!!! A student heated 235 g of water in a beaker until the water reached 100°C. The student removed the beaker from the h

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It’s says that the temperature in the room is 23C so the air temperature in the air would be 23C

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3 years ago

How has evidence changed our views on the universe

tensa zangetsu [6.8K]

Answer:

We found out more about how the universe had started (Big Bang theory), how the planets were created and how stars are born.

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3 years ago

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Nikolay [14]

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false I hope. have a good day!

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2 years ago

A book has a weight of 15 N. What is the mass of the book

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Answer:

m = 1.531kg

Explanation:

F = mg

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3 years ago