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Daniel [21]
2 years ago
12

Calculate the angular momentum of a particle of mass m moving with constant velocity v about origin o.

Mathematics
1 answer:
Ymorist [56]2 years ago
5 0
The formula for this   ( horizontal circular orbit with the origin at the center)  is
   L = mvr

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How do you write an equation in standard form given point (2,2) (0,-4)
notka56 [123]

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (2, 2) and (0, -4). Substitute:

m=\dfrac{-4-2}{0-2}=\dfrac{-6}{-2}=3\\\\y-2=3(x-2)

The standard form:

Ax+By=C


y-2=3(x-2)        <em>use distributive property</em>

y-2=3x-6          <em>add 6 to both sides</em>

y+4=3x        <em>subtract y from both sides</em>

4=3x-y

<h3>Answer: 3x - y = 4</h3>
6 0
3 years ago
Need help on this problem
faust18 [17]

Using an exponential function, it is found that:

  • For Country A, the doubling time is of 43 years.
  • For Country B, the growth rate is of 1.9% per year.

<h3>What is the exponential function for population growth?</h3>

The exponential function for population growth is given as follows:

P(t) = P(0)e^{kt}

In which:

  • P(t) is the population after t years.
  • P(0) is the initial population.
  • k is the exponential growth rate, as a decimal.
  • t is the time in years.

For Country A, we have that k = 0.016. The doubling time is t for which P(t) = 2P(0), hence:

P(t) = P(0)e^{kt}

2P(0) = P(0)e^{0.016t}

e^{0.016t} = 2

\ln{e^{0.016t}} = \ln{2}

0.016t = \ln{2}

t = \frac{\ln{2}}{0.016}

t = 43 years.

For Country B, P(36) = 2P(0), hence we have to solve for k to find the growth rate.

P(t) = P(0)e^{kt}

2P(0) = P(0)e^{36k}

e^{36k} = 2

\ln{e^{36k}} = \ln{2}

36k = \ln{2}

k = \frac{\ln{2}}{36}

k = 0.019.

For Country B, the growth rate is of 1.9% per year.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

3 0
1 year ago
Is the additive inverse of an integer always negative? Explain.
andre [41]

Answer:

Step-by-step explanation:

We do not consider zero to be a positive or negative number. For each positive integer, there is a negative integer, and these integers are called opposites. For example, -3 is the opposite of 3, -21 is the opposite of 21, and 8 is the opposite of -8. ... If an integer is less than zero, we say that its sign is negative

3 0
3 years ago
Help me pls I’ll mark you as brain
Rama09 [41]

Answer: Yes.

Step-by-step explanation: Each point on the graph has a different X-Value. It's ok for the Y-Values to repeat.

5 0
2 years ago
What is the interval when written in the form of (lower limit, upper limit)(lower limit, upper limit) ?
Stels [109]
The interval <span>when written in the form of lower limit and the upper limit would be 95.8 - 98.2. This can be calculated by subtracting 95 with 1.2 and by adding 95 with 1.2. Hope this answers the question. Have a nice day. Feel free to ask more question.</span>
8 0
3 years ago
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