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poizon [28]
3 years ago
15

A circular bird feeder of radius R and moment of inertia I is suspended at its center by a thin wire. (The feeder is oriented in

a horizontal plane.) A bird of mass mB lands on the rim of the feeder, coming in with a velocity tangent to the rim. After the bird lands, the angular velocity of the feeder is measured to be omega. Find the incoming speed of the bird in terms of the moment of inertia and radius of the feeder, the mass of the bird, and the angular velocity of the feeder after the landing. In addition, give a numerical result assuming that the radius of the feeder is 5.0 cm, the moment of inertia of the feeder is 1.0 x 10^-4 kg·m^2, the mass of the bird is 10 g, and the final angular velocity of the feeder (and bird) is 2.0 rad/s.
Physics
1 answer:
lara [203]3 years ago
5 0

Answer:

Explanation:

Let velocity of coming bird initially be v .

angular momentum of the bird about center of circular bird feeder

= mB x v x R

Total moment of inertia of bird and feeder = I + mB x R²

Applying conservation of momentum

mB v R = ( I + mB x R²) ω

ω = mB v R / ( I + mB x R²)

v = ( I + mB x R²)ω / mB R

Putting the numerical values

v = (.0001 + .01 x .05²) x 2 / (.01 x .05 )

= .5 m / s .

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The thrust from a car is 2000 N. The air resistance and friction together total 680 N. What happens to the speed of the car?
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6 0
4 years ago
Ultraviolet light having a wavelength of 97 nm strikes a metallic surface. Electrons leave the surface with speeds up to 3.48 ×
irga5000 [103]

Answer:

<h2><em>12.45eV</em></h2>

Explanation:

Before calculating the work function, we must know the formula for calculating the kinetic energy of an electron. The kinetic energy of an electron is the taken as the difference between incident photon energy and work function of a metal.

Mathematically, KE =  hf - Ф where;

h is the Planck constant

f is the frequency = c/λ

c is the speed of light

λ is the wavelength

Ф is the work function

The formula will become KE =  hc/λ - Ф. Making the work function the subject of the formula we have;

Ф = hc/λ - KE

Ф = hc/λ - 1/2mv²

Given parameters

c = 3*10⁸m/s

λ = 97*10⁻⁹m

velocity of the electron v = 3.48*10⁵m/s

h = 6.62607015 × 10⁻³⁴

m is the mass of the electron = 9.10938356 × 10⁻³¹kg

Substituting the given parameters into the formula Ф = hc/λ - 1/2mv²

Ф =  6.63 × 10⁻³⁴*3*10⁸/97*10⁻⁹ -  1/2*9.11*10⁻³¹(3.48*10⁵)²

Ф = 0.205*10⁻¹⁷ - 4.555*10⁻³¹*12.1104*10¹⁰

Ф = 0.205*10⁻¹⁷ - 55.163*10⁻²¹

Ф = 0.205*10⁻¹⁷ - 0.0055.163*10⁻¹⁷

Ф = 0.1995*10⁻¹⁷Joules

Since 1eV = 1.60218*10⁻¹⁹J

x = 0.1995*10⁻¹⁷Joules

cross multiply

x = 0.1995*10⁻¹⁷/1.60218*10⁻¹⁹

x = 0.1245*10²

x = 12.45eV

<em>Hence the work function of the metal in eV is 12.45eV</em>

6 0
3 years ago
You set a tuning fork into vibration at a frequency of 723 Hz and then drop it off the roof of the Physics building where the ac
zaharov [31]

Answer:

Explanation:

Given

Original Frequency f=723\ Hz

apparent Frequency f'=697\ Hz

There is change in frequency whenever source move relative to the observer.

From Doppler effect we can write as

f'=f\cdot \frac{v-v_o}{v+v_s}

where  

f'=apparent frequency  

v=velocity of sound in the given media

v_s=velocity of source

v_0=velocity of observer  

here v_0=0

697=723\cdot (\frac{343-0}{343+v_s})

v_s=(\frac{f}{f'}-1)v

v_s=(\frac{723}{697}-1)\cdot 343

v_s=12.79\approx 12.8\ m/s

i.e.fork acquired a velocity of 12.8 m/s

distance traveled by fork is given by

v^2-u^2=2as

where v=final velocity

u=initial velocity

a=acceleration

s=displacement

v_s^2-0=2\times 9.8\times s

s=\frac{12.8^2}{2\times 9.8}

s=8.35\ m

                                       

5 0
3 years ago
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