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tamaranim1 [39]
3 years ago
7

A box of total mass M is on a frictionless horizontal table. It is connected to a massless string that runs over a massless, fri

ctionless pulley. A box of mass m is suspended from the other end of the string. The system is released from rest. Inside the box of mass M, a small ball is suspended from a string. Derive an expression for the angle θ the string makes with the vertical, in terms of M and m. (Hint: you should first find the acceleration of the system.)
Physics
1 answer:
Sladkaya [172]3 years ago
4 0

Explanation:

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An electron enters a region of uniform perpendicular en and bn fields. it is observed that thevelocity nv of the electron is una
konstantin123 [22]
<span>v is perpendicular to both E and B and has a magnitude E/B</span>
5 0
3 years ago
Suppose that the sound level of a conversation is initially at an angry 70 db and then drops to a soothing 50 db. assuming that
stepan [7]
Angry sound level = 70 db
Soothing sound level = 50 db
Frequency, f = 500 Hz
Assuming speed of sound = 345 m/s
Density (assumed) = 1.21 kg/m^3
Reference sound intensity, Io = 1*10^-12 w/m^2

Part (a): Initial sound intensity (angry sound)
10log (I/Io) = Sound level
Therefore,
For Ia = 70 db
Ia/(1*10^-12) = 10^(70/10)
Ia = 10^(70/10)*10^-12 = 1*10^-5 W/m^2

Part (b): Final sound intensity (soothing sound)
Is = 50 db
Therefore,
Is = 10^(50/10)*10^-12 = 18*10^-7 W/m^2

Part (c): Initial sound wave amplitude
Now,
I (W/m^2) = 0.5*A^2*density*velocity*4*π^2*frequency^2

Making A the subject;
A = Sqrt [I/(0.5*density*velocity*4π^2*frequency^2)]

Substituting;
A_initial = Sqrt [(1*10^-5)/(0.5*1.21*345*4π^2*500^2)] = 6.97*10^-8 m = 69.7 nm

Part (d): Final sound wave amplitude
A_final = Sqrt [(1*10^-7)/(0.5*1.21*345*4π^2*500^2)] = 6.97*10^-9 m = 6.97 nm
4 0
4 years ago
What is the frequency of a wave that has a wavelength of 2000 meters and is traveling at 20 m/s?
Artist 52 [7]

Answer:

freqiency=velocity/wavelength

ief=20/2000=0.01hz

7 0
3 years ago
The leader of a bicycle race is traveling with a constant velocity of +12.60 m/s and is 11.4 m ahead of the second-place cyclist
Svetllana [295]
Let the time be t.

so,In time t , distance travelled by 1st cyclist = 12.6 t

distance travelled by 2nd cyclist = 9.2t + 0.5 (1.5) t^2

Now, cyclist 1st is already 11.4 m ahead of 2nd cyclist.

so, 9.2t + 0.5 (1.5) t^2  = 11.4 + 12.6t

find t :

t =  6.77 sec
8 0
3 years ago
Develop an algebraic relationship that describes a satellite moving in a circular orbit around a planet if the speed of the sate
lana [24]

Answer:

Explanation:

For this problem we must use Newton's second law where force is gravitational attraction

      F = m a

Since movement is circular, acceleration is centripetal.

      a = v2 / r

Let's replace

      G m M / r² = m v² / r

      G M r = v²

The distance r is from the center of the planet

      r = R + h

      v = √ GM / (R + h)

If the friction force is not negligible

      F - fr = m a

Where the friction force must have some functional relationship, for example

           Fr = b v + c v² +…

Suppose we are high enough for the linear term to derive the force of friction

          G m M / r - (m b v + m c v2) = m v2

          G M / r - b v = v²

We see that the solution of the problem gives lower speeds and that change over time.

To compensate for this friction force, the motors should be intermittently suspended to recover speed.

5 0
3 years ago
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