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kifflom [539]
3 years ago
13

Suppose a particle moves along a straight line with velocity v(t)=t2e−2tv(t)=t2e−2t meters per second after t seconds. How many

meters has it traveled during the first t seconds?
Physics
1 answer:
dimulka [17.4K]3 years ago
6 0

Explanation:

It is given that,

Velocity of the particle moving in straight line is :

v(t)=t^2e^{-2t}\ m/s

We need to find the distance (x)  traveled by the particle during the first t seconds. It is given by :

x=\int\limits {v.dt}

x=\int\limits {t^2e^{-2t}dt}

Using by parts integration, we get the value of x as :

x=\dfrac{-(2t^2+2t+1)e^{-2t}}{4}\ meters

Hence, this is the required solution.

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Use your knowledge of waves to explain why echoes occur. Use your explanation to devise a system to measure distances to objects
german

Explanation:

Echoes occur due to the reflection of sound from any obstacle, but not all the reflected sound waves lead to the phenomenon of echo. For the echo to be heard it actually depends upon the human perception as well, human ears can encounter the difference between the sound wave directly form the source and the reflected sound waves only if there is a minimum time gap of one-tenth of a second. For this time gap in the atmosphere at normal temperature and pressure the obstacle must be at least 7 meters away from the sound source.

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Calculate the net force on particle q1. First, find the direction of the force particle q2 is exerting on particle q1. Is it pus
ValentinkaMS [17]

The net force on particle particle q1 is 13.06 N towards the left.

<h3>Force on q1 due to q2</h3>

F(12) = kq₁q₂/r₂

F(12) = (9 x 10⁹ x 13 x 10⁻⁶ x 7.7 x 10⁻⁶)/(0.25²)

F(12) = -14.41 N  (towards left)

<h3>Force on q1 due to q3</h3>

F(13) = (9 x 10⁹ x 7.7 x 10⁻⁶ x 5.9 x 10⁻⁶)/(0.55²)

F(13) = 1.352 N (towards right)

<h3>Net force on q1</h3>

F(net) = 1.352 N - 14.41 N

F(net) = -13.06 N

Thus, the net force on particle particle q1 is 13.06 N towards the left.

Learn more about force here: brainly.com/question/12970081

#SPJ1

8 0
1 year ago
What is the relationship between stream and drainage basin
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Each stream in a drainage system drains into a certain area. In a drainage basin the water falling in the basin drain will fall into the same stream. A drainage divides drawing basin from other drainage basins
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When you slosh the water back and forth in a tub at just the right frequency, the water alternately rises and falls at each end,
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The ocean's level is currently rising at about
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Answer:

The sea level will be 5m higher in 1667 y (years)

Explanation:

From the question, the rate at which the ocean's level is currently rising is about 3mm per year.

First, we will convert mm (millimeter) to m (meter)

1 mm = 0.001 m

Then,

3 mm = 3 × 0.001 m

= 0.003m

That is, the rate at which the ocean's level is currently rising is about 0.003m per year.

Now, to determine how long it will take for the ocean's level be 5 m higher than now at the given rate,

If the ocean rises 0.003 m in 1 year, then

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x = (5 m × 1 year) / 0.003 m

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x = 1666.67 years

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Hence, the sea level will be 5m higher in 1667 y (years)

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