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Physics

1 answer:

lukranit [14]3 years ago

4 0

1. Software Developer

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4. Anesthesiologist

5. Financial Analyst

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What is the wavelength of a 2.2 mhz ultrasound wave traveling through aluminum? assume that the speed of sound in aluminum is 51

Eva8 [605]

The frequency of a wave is equal to the linear speed divided the wavelength. so in equation form.
f = v / l
so the wavlength
l = v / f
where f is the frequency
v iss the linear speed
l is the wavelength

l = ( 5100 m/s ) / ( 2.2 Mhz ) ( 10^6 hz / 1 Mhz )
f = 0.0023 m
f = 2.3 mm

7 0

3 years ago

A book falls off a shelf that and hits the ground at 10.0 m/s. How far did it fall?

ELEN [110]

Answer:

Explanation:

14 m/s

Explanation:

The motion of the book is a free fall motion, so it is an uniformly accelerated motion with constant acceleration g=9.8 m/s^2 towards the ground. Therefore we can find the final velocity by using the equation:

where

u = 0 is the initial speed

g = 9.8 m/s^2 is the acceleration

d = 10.0 m is the distance covered by the book

Substituting data, we find

8 0

3 years ago

An arrow is shot at 28.0° above the horizontal. Its initial speed is 50 m/s and it hits the target.

fomenos

<span> <span>We will need to work with the components of the velocity, in the x and the y direction. We will say up is positive so g is -9.81 m/s^2.

Given that the angle was 32 degrees:

Velocity up (in the y direction) is 55 m/s * sin 32 = 29.15 m/s
And

Velocity forward (in the x direction) is 55 m/s * cos 32 = 46.64 m/s

The acceleration of gravity, -9.81 m/s2 continuously decreases the velocity in the y direction. At the maximum height, the velocity will be zero. This should make sense, for as soon as the decreasing velocity becomes negative, the arrow will start to fall.

We have v = v(0) + at

And we set this to zero and solve for t:

0 = 29.15 + -9.81t

9.81t = 29.15

t = 2.97 seconds

To calculate height at this point, we use the equation that calculates position based on time, acceleration, and initial velocity (we could use an alternate too, an equation derived from the one we are now using and v = v(0) + at.

x = x(0) + v(0)t + (1/2)at^2

x = 0 + 29.15 * 2.97 + 0.5 9.81 (2.97)^2

x = 43.30 m

For a projectile, the plot of distance traveled in the upward direction is a parabola, and it takes the same amount of time to come down as it did to go up.

We can double 2.97 to get the time of impact on the target at 2(2.97) = 5.94 seconds

(Alternately, if you like, you can solve

0 = 0 + 29.15t + 0.5 9.81 t^2

And find that the two roots are 0 and 5.94).

http://www.math.com/students/calculators... will do the quadratic for you.

Given a horizontal velocity of 46.64 m/s, we can calculate

46.64 m/s (5.94 s) = 277 m for the distance of the target.</span></span>

6 0

3 years ago

Three uniform spheres are located at the corners of an equilateral triangle. each side of the triangle has a length of 1.20 m. t

Andrei [34K]

Refer to the diagram shown below.

Because of symmetry, equal forces, F, exist between the sphere of mass m and each of the other two spheres.
The acceleration of the sphere with mass m will be vertical as shown.

The gravitational constant is G = 6.67408 x 10⁻¹¹ m³/(kg-s²)

Calculate F.
F = [ (6.67408 x 10⁻¹¹ m³/(kg-s²))*(m kg)*(2.8 kg)]/(1.2 m)²
= 1.2977 x 10⁻¹⁰ m N

The resultant force acting on mass m is
2Fcos(30°) = 2*(1.2977 x 10⁻¹⁰m N)*cos(30°) = 2.2477 x 10⁻¹⁰m N

If the initial acceleration of mass m is a m/s², then
(m kg)(a m/s²) = (2.2477 x 10⁻¹⁰m N)
a = 2.2477 x 10⁻¹⁰ m/s²

Answer:
The magnitude of the acceleration on mass m is 2.25 x 10⁻¹⁰ m/s².
The direction of the acceleration is on a line that joins mass m to the midpoint of the line joining the known masses.

7 0

3 years ago

A trumpeter plays at a sound level of 75dB. three equally loud trumpet players join in. what is the new sound level?

Serjik [45]

The answer is approx 87 decibels.

6 0

3 years ago