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Norma-Jean [14]
2 years ago
12

A car drives 30 m north in 1.5 seconds and drives 60 east in 2 seconds. What is the average velocity

Physics
1 answer:
Bad White [126]2 years ago
4 0

Answer:

19.2 m/s

Explanation:

From the question,

Velocity = displacement/time = d/t

V = d/t.................................. Equation 1

Average velocity = Total displacement/ total time

Total dispalcement = √(30²+60²) = √4500 = 67.08 m

Total time = 1.5+2 = 3.5 s.

Substitute these value into equation 1

V = 67.08/3.5

V = 19.2 m/s.

Hence the average velocity is 19.2 m/s

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Assume that the speed of light in a vacuum has the hypothetical value of 18.0 m/s. A car is moving at a constant speed of 14.0 m
denis23 [38]

Answer:

4.245s

Explanation:

Given that,

Hypothetical value of speed of light in a vacuum is 18 m/s

Speed of the car, 14 m/s

Time given is 6.76 s, and we're asked to find the observed time, T

The relationship between the two times can be given as

T = t / √[1 - (v²/c²)]

The missing variable were looking for is t, and we can find it if we rearrange the formula and make t the subject

t = T / √[1 - (v²/c²)]

And now, we substitute the values and insert into the equation

t = 6.76 * √[1 - (14²/18²)]

t = 6.76 * √[1 - (196/324)]

t = 6.76 * √(1 - 0.605)

t = 6.76 * √0.395

t = 6.76 * 0.628

t = 4.245 s

Therefore, the time the driver measures for the trip is 4.245s

8 0
2 years ago
At a rock concert, the sound intensity 1.0 m in front of the bank of loudspeakers is 0.10 W/m². A fan is 30 m from the loudspeak
Klio2033 [76]

To solve this problem we will apply the concepts related to the Area, the power and the proportionality relationships between intensity and distance.

The expression for sound power is,

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Here,

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A = \frac{\pi d^2}{4}

Now the intensity is inversely proportional to the square of the distance from the source, then

I \propto \frac{1}{r^2}

The expression for the intensity at different distance is

\frac{I_1}{I_2}= \frac{r^2_2}{r_1^2}

Here,

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I_2 = Intensity at distance 2

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r_2 = Distance 2 from the light source

If we rearrange the expression to find the intensity at second position we have,

I_2 = I_1 (\frac{r_1^2}{r_2^2})

If we replace with our values at this equation we have,

I_2 = (0.10W/m^2)(\frac{1.0m^2}{30.0m^2})

I_2 = 1.11*10^{-4} W/m^2

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A = \frac{\pi (8.4*10^{-3}m)^2}{4}

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Finally with the intensity and the area we can find the sound power, which is

P = AI

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P = 6.1*10^{-9}J/s

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E = 6.1*10^{-9}J

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The bouncy ball experiences the greater momentum change.

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