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3 years ago

9

You are riding a bicycle at 20 m/s at 10:00 am. At 10:01 am, you notice that you are traveling at 40 m/s. You are headed W. What

is your acceleration? *

1 answer:

Juliette [100K]3 years ago

7 0

Answer:

20m/s^2

Explanation:

Acceleration=Change in velocity/time taken for change

40-20/1

20m/s^2

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A guitar string is 90 cm long and has a mass of 3.5g . The distance from the bridge to the support post is L=62cm, and the strin

nataly862011 [7]

Answer:

$v_1 = 301 Hz$

$v_2 = 601 \ \ Hz$

$v_3 = 901 \ Hz$

Explanation:

From the question we are told that

The length of the string is $l = 90 \ cm = 0.9 \ m$

The mass of the string is $m_s = 3.5 \ g =0.0035 \ kg$

The distance from the bridge to the support post $L = 62 \ c m = 0.62 \ m$

The tension is $T = 540 \ N$

Generally the frequency is mathematically represented as

$v = \frac{n}{2 * L } [\sqrt{ \frac{T}{\mu} } ]$

Where n is and integer that defines that overtones

i.e n = 1 is for fundamental frequency

n = 2 first overtone

n =3 second overtone

Also $\mu$ is the linear density of the string which is mathematically represented as

$\mu = \frac{m_s}{l}$

=> $\mu = \frac{0.0035 }{ 0.9 }$

=> $\mu = 0.003889 \ kg/m$

So for n = 1

$v_1 = \frac{1}{2 * 0.62 } [\sqrt{ \frac{ 540}{0.003889} } ]$

$v_1 = 301 \ Hz$

So for n = 2

$v_2 = \frac{2}{2 * 0.62 } [\sqrt{ \frac{ 540}{0.003889} } ]$

$v_2 = 601 \ Hz$

So for n = 3

$v_3 = \frac{3}{2 * 0.62 } [\sqrt{ \frac{ 540}{0.003889} } ]$

$v =901 \ Hz$

5 0

4 years ago

Definition of graph?

xeze [42]

<u>Answer:</u>

1. A graph is defined as <em>" A Diagram represents a system of connections or interrelations among two or more things by a number of different dots, lines etc".</em>

2. In simple words <em>"Graph is a representation of any object or a physical structure by dots, lines, etc.</em>

6 0

3 years ago

You are standing in a building whose height (40m) you throw a ball downward at a angle of -30 at a speed of (10m/s) acceleration

jeyben [28]

Answer: 3.41 s

Explanation:

Assuming the question is to find the time $t$ the ball is in air, we can use the following equation:

$y=y_{o}+V_{o}sin \theta t-\frac{1}{2}gt^{2}$

Where:

$y=0m$ is the final height of the ball

$y_{o}=40 m$ is the initial height of the ball

$V_{o}=10 m/s$ is the initial velocity of the ball

$t$ is the time the ball is in air

$g=9.8 m/s^{2}$ is the acceleration due to gravity

$\theta=30\°$

Then:

$0 m=40 m+(10 m/s)(sin(30\°))t-\frac{1}{2}9.8 m/s^{2}t^{2}$

$0 m=40 m+5m/s t-4.9 m/s^{2}t^{2}$

Multiplying both sides of the equation by -1 and rearranging:

$4.9 m/s^{2}t^{2}-5m/s t-40 m=0$

At this point we have a quadratic equation of the form $at^{2}+bt+c=0$ , which can be solved with the following formula:

$t=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a}$

Where:

$a=4.9$

$b=-5$

$c=-40$

Substituting the known values:

$t=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(4.9)(-40)}}{2(4.9)}$

Solving the equation and choosing the positive result we have:

$t=3.41 s$ This is the time the ball is in air

5 0

4 years ago

A concert loudspeaker suspended high off the ground emits 26.0 W of sound power. A small microphone with a 1.00 cm2 area is 53.0

arsen [322]

Answer:

the sound intensity at the position of the microphone is 7.4 × 10⁻⁴ W/m²

Explanation:

Given the data in the question;

Sound power P = 26.0 W

Area of microphone A = 1.00 cm²

Radius r = 53.0 m

sound intensity at the position of the microphone = ?

Now, intensity at the position of the microphone can be determined using the following expression;

$I$ = P / 4πr²

We substitute

$I$ = 26.0 / ( 4 × π × (53.0 )² )

$I$ = 26.0 / ( 4 × π × 2809 )

$I$ = 26.0 / 35298.935

$I$ = 26.0 / ( 4 × π × (53.0 )² )

$I$ = 0.000736566

$I$ = 7.4 × 10⁻⁴ W/m²

Therefore, the sound intensity at the position of the microphone is 7.4 × 10⁻⁴ W/m²

6 0

3 years ago

What is the mass of a wooden block with a density 2.0 and a volume of 7.0?

Karolina [17]

Answer:

mass = 14

Explanation:

equation ; p = m / v

2 = m / 7

to get the m, your variable, by itself you would multiply 7 onto the other side of the equation, getting this;

2 * 7 = m

and 2 * 7 = 14, therefore m = 14, so your mass would be 14!

Hope this helps!

3 0

3 years ago