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MAXImum [283]
1 year ago
13

Amy, standing near a straight road, records the sound of the horn of a car traveling at a constant speed. The recorded frequency

as a function of the car's position along the road for trials at different car speeds is accurately graphed below.
True or false:
1. The speed in trial U is ..... that in Q.
2. The speed in trial T is ..... that in other trials.
3. The distance of Amy from the path in R is ..... in S.
4. The speed in trial U is ..... that in other trials.
5. When the car is far away, the average of the frequencies moving in and out is ..... the frequency at rest.
6. The speed in trial R is ..... to that in S.

7. Using the data on the figure, calculate the speed of the car in trial T. Use 340 m/s for the speed of sound.

Physics
1 answer:
myrzilka [38]1 year ago
6 0

(1) The speed in trial U is less than that in Q.

(2) The speed in trial T is greater than that in other trials.

(3) The distance of Amy from the path in R is equal to distance in S.

(4) The speed in trial U is less than that in other trials.

(5) When the car is far away, the average of the frequencies moving in and out is equal to the frequency at rest.

(6) The speed in trial R is equal  to that in S.

(7) The speed of the car in trial T is 58.6 m/s.

<h3>Speed of wave</h3>

The speed of a wave is directly proportional to its frequency and wavelength.

v = fλ

where;

  • v is speed of the wave
  • f is frequency of the wave
  • λ is wave length

The speed in trial U is less than that in Q, due to greater frequency observed in trial Q.

The speed in trial T is greater than that in other trials, due to greater frequency observed in trial T.

The distance of Amy from the path in R is equal to distance in S.

The speed in trial U is less than that in other trials.

<h3>Average of the frequencies when the car is far away</h3>

f(avg) = (1,055 + 1,020 + 986 + 985 + 940 + 862 + 830 + 828 + 808 + 730)/10

= 904.3 ≈ 900 Hz

When the car is far away, the average of the frequencies moving in and out is equal to the frequency at rest.

The speed in trial R is equal  to that in S.

<h3>Speed of the car in trial T</h3>

f = f₀(v / v - vs)

where;

  • f is frequency of the car at zero position
  • f₀ is the original frequency
  • vs is the speed of the car
  • v is speed of sound

900 = 1055(340 / 340 - vs)

900/1055 = 340/340 - vs

0.853 = 340/340 - vs

340 - vs = 340/0.853

340 - vs = 398.6

vs = 398.6 - 340

vs = 58.6 m/s

Learn more about speed of wave here: brainly.com/question/2142871

#SPJ1

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An 80-kg astronaut becomes separated from his spaceship. He is 15.0 m away from it and at rest relative to it. In an effort to g
Allushta [10]

Answer: 300 s

Explanation:

The momentum p is given by the following equation:

p=m.V

Where m is the mass of the object  and V is the velocity.

In addition, according to the conservation of linear momentum, we have:

p_{1}=p_{2} (1)

Where:

p_{1}=0 is the initial momentum of the astronaut, which is initially at rest

p_{2}=m_{object}V_{object}+m_{astronaut}V_{astronaut} is the final momentum, being m_{object}=500g=0.5 kg, V_{object}=8 m/s and  m_{astronaut}=80 kg

Then (1) is rewritten as:

0=m_{object}V_{object}+m_{astronaut}V_{astronaut} (2)

Finding te velocity of the astronaut V_{astronaut}:

V_{astronaut}=-\frac{m_{object}V_{object}}{m_{astronaut}} (3)

V_{astronaut}=-\frac{(0.5 kg)(8 m/s)}{80 kg} (4)

V_{astronaut}=-0.05 m/s (5) The negative sign of the velocity indicates it is directed towards the spaceship, however its speed (the magnitude of the velocity vector) is positive 0.05 m/s

On the other hand we have the following:

V_{astronaut}=\frac{d}{t} (6)

Where d=15 m the distance between the astronaut and the spacheship and t the time. So, we have to find t:

t=\frac{d}{V_{astronaut}} (7)

t=\frac{15 m}{0.05 m/s}

Finally:

t=300 s

3 0
3 years ago
what conversion factors should be used to convert 18 mi/hr to ft/sec? what conversion factors should be used to convert 18 mi/hr
trasher [3.6K]
The conversion that should be made for this certain problem would be from miles to feet and from hours to second. The conversion of miles to feet would have a factor of 5280. For hours to second the factor would be 3600. Hope this answers the question.
7 0
3 years ago
A soccer ball is kicked from the top of one building with a height of H1 = 30.2 m to another building with a height of H2 = 12.0
viktelen [127]

Hi there!

Initially, we have gravitational potential energy and kinetic energy. If we set the zero-line at H2 (12.0m), then the ball at the second building only has kinetic energy.

We also know there was work done on the ball by air resistance that decreased the ball's total energy.

Let's do a summation using the equations:
KE = \frac{1}{2}mv^2 \\\\PE = mgh

Our initial energy consists of both kinetic and potential energy (relative to the final height of the ball)

E_i = \frac{1}{2}mv_i^2 + mg(H_1 - H_2)

Our final energy, since we set the zero-line to be at H2, is just kinetic energy.

E_f = \frac{1}{2}mv_f^2

And:
W_A = E_i - E_f

The work done by air resistance is equal to the difference between the initial energy and the final energy of the soccer ball.

Therefore:
W_A = \frac{1}{2}mv_i^2 + mg(H_1 - H_2) -  \frac{1}{2}mv_f^2

Solving for the work done by air resistance:
W_A = \frac{1}{2}(.450)(15.1^2)+ (.450)(9.8)(30.2 - 12) -  \frac{1}{2}(.450)(19.89^2)

W_A = \boxed{42.552 J}

8 0
2 years ago
A 2 kg object traveling at 5 m s on a frictionless horizontal surface collides head-on with and sticks to a 3 kg object initiall
Svetlanka [38]

Answer: (d)

Explanation:

Given

Mass of object m=2\ kg

Speed of object u=5\ m/s

Mass of object at rest M=3\ kg

Suppose after collision, speed is v

conserving momentum

\Rightarrow mu+0=(m+M)v\\\\\Rightarrow v=\dfrac{2\times 5}{2+3}\\\\\Rightarrow v=2\ m/s

Initial kinetic energy

k_1=\dfrac{1}{2}\times 2\times 5^2\\\\k_1=25\ J

Final kinetic energy

k_2=\dfrac{1}{2}\times (2+3)\times 2^2\\\\k_2=10\ J

So, it is clear there is decrease in kinetic energy . Thus, energy decreases and velocity becomes 2 m/s.

4 0
2 years ago
A car travels across Texas m miles at the rate of t miles per hour. How many hours does the trip take??
Marianna [84]

Answer: The trip takes \frac{m}{t}hours

Explanation:

Velocity V is the variation of the position of a body (distance traveled d) with time T:

V=\frac{d}{T}

In this case, the car travels a distance d=m miles at a velocity V=t \frac{miles}{hour} and we need to find the time it takes the trip.

Isolating  T:

T=\frac{d}{V}=\frac{m miles}{t \frac{miles}{hour}}

Finally:

T=\frac{m}{t}hours

8 0
3 years ago
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