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erik [133]
3 years ago
14

Help pls i give brainielest

Physics
1 answer:
Murrr4er [49]3 years ago
4 0

Answer:

mixtures

Explanation:

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As a glacier melts, the volume V of the ice, measured in cubic kilometers, decreases at a rate modeled by the differential equat
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Solve the differential equation:

d<em>V</em>/d<em>t</em> = <em>k V</em>   →   1/<em>V</em> d<em>V</em>/d<em>t</em> = <em>k</em>

→   d/d<em>t</em> [ln(<em>V</em>)] = <em>k</em>

→   ln(<em>V</em>) = <em>k t</em> + <em>C</em>

→   <em>V</em> (<em>t</em> )= exp(<em>k t</em> + <em>C </em>) = <em>C</em> exp(<em>k t</em> ) = <em>C e </em>ᵏᵗ

At <em>t</em> = 0, the glacier has volume 400 km³ of ice, so

<em>V</em> (0) = 400   →   <em>C</em> <em>e</em>⁰ = <em>C</em> = 400

Find when the glacier's volume is 300 km³:

<em>V</em> (<em>t</em> ) = 400 <em>e </em>ᵏᵗ = 300   →   <em>e </em>ᵏᵗ = 3/4

→   <em>k t</em> = ln(3/4)

→   <em>t</em> = 1/<em>k</em> ln(3/4)

At this time, the volume is decreasing at a rate of 15 km³/yr, so

<em>V '</em> (<em>t </em>) = <em>C</em> <em>k</em> <em>e </em>ᵏᵗ   →   <em>V '</em> (1/<em>k</em> ln(3/4)) = 400 <em>k</em> exp(<em>k</em> × 1/<em>k</em> ln(3/4)) = -15

→   3/4 <em>k</em> = -3/80

→   <em>k</em> = -1/20

Then the volume <em>V</em> (<em>t</em> ) of the glacier at time <em>t</em> is

<em>V</em> (<em>t</em> ) = 400 exp(-1/20 <em>t </em>)

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How did black holes get their name
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<span>VY Canis Majoris is the largest star ever discovered.</span>
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A glass falls from a table top and smashes on the floor 0.6 seconds later. How high is the table?
soldi70 [24.7K]

Answer:

1.8 m

Explanation:

Given: Glass falls from a table, smashes 0.6 seconds later

To find: How high a table is

Formula: Vv=gt, dv=1/2gt^2, t=2d/g

Solution: A table's <em>height</em> is measured from the top of the edge down to the floor. The tables are shown both have a height of 30 inches, which is common for many tables.

<u>Data</u>

  • t = 0.6s
  • g = 9.81 m/s²
  • d = ?

<u>Equation</u>

  • d = \frac{1}{2}gt²

<u>Math & Units</u>

  • d = 4.905 (0.6²)
  • d = 442.676

Hence the table is 1.8 m high

5 0
3 years ago
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