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timurjin [86]
4 years ago
5

An alpha particle (α), which is the same as a helium-4 nucleus, is momentarily at rest in a region of space occupied by an elect

ric field. The particle then begins to move. Find the speed of the alpha particle after it has moved through a potential difference of −3.45×10^−3 V. The charge and the mass of an alpha particle are qα = 3.20×10^−19 C and mα = 6.68×10^−27 kg , respectively.
Mechanical energy is conserved in the presence of which of the following types of forces?

Select all that apply.
A- electrostatic
B- frictional
C- magnetic
D- gravitational

Part B- Which of the following quantities are unknown?
A- the initial speed of the alpha particle
B- the value of the electric potential at the initial position of the alpha particle
C- the value of the electric potential at the final position of the alpha particle
D- the final speed of the alpha particle
E- the charge of the alpha particle
F- the difference in potential between the initial and final positions of the alpha particle
G- the mass of the alpha particle

Part C- Use conservation of energy (Ki+qVi=Kf+qVf) to solve for the final kinetic energy. Then use this value to solve for the final velocity of the alpha particle.
Physics
1 answer:
alexgriva [62]4 years ago
8 0

Answer:

Explanation:

Kinetic energy gained by alpha particle

= charge x potential difference

1/2 mv² = 3.2 x 10⁻¹⁹ x 3.45 x 10⁻³

.5 x 6.68 x 10⁻²⁷ V² = 11.04 x 10⁻²²

V² = 3.3  x 10⁵

V = 5.74 x 100

= 574 m / s

Mechanical energy is conserved in respect of A , C and D .

Part B

B , C, are unknown .

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A uniform beam is suspended horizontally by two identical vertical springs that are attached between the ceiling and each end of
puteri [66]

The frequency and amplitude of the SHM beam is 0.8 Hz and 0.098 m. The frequency of the SHM wave when gravel falls is 0.8 Hz and the amplitude of subsequent SHM beam is 0.4m.

(a) Mass of the spring = 225 Kg

Mass of the sack = 175 Kg

Amplitude of the beam = 40 cm = 0.40 m

Frequency of the beam = F = 0.60 cycles/s

The formula for frequency of oscillation =

= f = (1/2π) X √(k/m)

where, k = 2π²F²m

= k = 2 X (3.14)² X 0.6² X (225 + 175)

= k = 5685.37 N/m

Strength of the spring before gravels fall = x =

= x = mg / k

= x = [ (225 + 175 ) X 9.8 ] / 5685.37

= x = 0.689 m

But, the spring is stretched by the distance of x' which is expressed as,

= X = x - x'

= X = 0.689 - 0.40

= X = 0.289 m

Now, since we know that the gravel falls, thus frequency = f =

= f = (1/2π) X √(k/m)

= f= (1/ 2 X 3.14) X √ 5685.37 / 225

= f = 0.8 Hz

(b) Assuming that the spring is stretched, x = mg/k =

= x = (225 X 9.8) / 5685.37

= x = 0.3878 m

Thus, the amplitude of the sack = A = 0.3878 - 0.289

= A = 0.098 m

(c) If the gravel falls, the speed is maximum hence speed = s =

= s = A X √(k/m)

= s = 0.4 X √(5685.37/400)

= s = 1.508 m/s

The frequency = f' =

= f' = (1/2π) X √(k/m)

= f' = (1/2 X 2.14) X √(5685.37/225)

= f' = 0.8 Hz

(d) New amplitude = A' =

= A' = 0.38 + 0.038   (after calculating the new distance)

= A' = 0.4 m

To know more about Spring:

brainly.com/question/15850235

#SPJ4

8 0
2 years ago
A capacitor in an LC oscillator experiences a maximum potential difference of 88V and a maximum energy of 2002 uJ. At a certain
VLD [36.1K]

Answer:

Explanation:

maximum energy of capacitor

E = 1/2 C V ²

C is capacitance of capacitor and V is potential difference

given V = 88 V

E = 2002 x 10⁻⁶ J

Putting the values

2002 x 10⁻⁶ = 1/2 x C x 88²

C = .517 x 10⁻⁶ F  .

In the second case

Energy E = 125 x 10⁻⁶ J .

C = .517 x 10⁻⁶

V =  ?

E = 1/2 C V ²

125 x 10⁻⁶  = 1/2 x  .517 x 10⁻⁶ x V²

V² = 483.55

V = 21.98 V .

6 0
4 years ago
A bicycle has wheels of 0.8 m diameter. The bicyclist accelerates from rest with constant acceleration to 22 km/h in 11.6 s. Wha
larisa [96]

Answer:

α = 1.32 rad/s²

Explanation:

given,

diameter of the bicycle = 0.8 m

radius of the bicycle = 0.4 m

initial speed of the bicyclist,u = 0 m/s

final speed of the bicyclist,v = 22 Km/h = 22 x 0.278

                                           = 6.12 m/s

time,t = 11.6 s

acceleration =\dfrac{v-u}{t}

                     =\dfrac{6.12-0}{11.6}

                    =0.53 m/s²

we know,

    a = α r

\alpha=\dfrac{a}{r}

\alpha=\dfrac{0.53}{0.4}

  α = 1.32 rad/s²

the angular acceleration of the wheels is equal to α = 1.32 rad/s²

7 0
3 years ago
We can reasonably model a 90-W incandescent lightbulb as a sphere 5.7 cm in diameter. Typically, only about 5% of the energy goe
o-na [289]

Answer:

See answer

Explanation:

Given quantities:

\eta = 0.05\\ W=90[W]\\r=0.0285[m]

where \eta is the efficiency of the lightbulb (visible light is 5% of the total power), W is the total power of the lightbulb, r is the radius of the lightbulb in meters.

Intensity is power divided by area:

I =\frac{P}{A}

a) Now the effective power is \eta*W, therefore:

I =\frac{\eta*W}{\pi r^2}=\frac{0.05*90}{4\pi (0.0285)^2}=440.87[W/m^2]

b) Now the intensity is the average poynting vector is related to the magnitudes of the  maximum electric field and magnetic field amplitudes, following:

S_{average}= \frac{EB}{2\mu_{0}}[W/m]

now E and B are related:

E=cB\\ B=\frac{E}{c} and c=\frac{1}{\sqrt{\epsilon_{0} \mu_{0}}}

replace in S_{average}

S_{average}=I= \frac{c \epsilon_{0}E^2}{2}[W/m]

we replace the values and we get:

E= \sqrt{\frac{2I}{\epsilon_{0}c}}

E = \sqrt{\frac{2(440.8)}{8.85*10^{-12}3*10^8}}=576.24[V/m]

therefore

B=\frac{E}{c}=\frac{576.24}{3*10^{8}}=1.92*10^{-6}[T]

8 0
3 years ago
Explain the relationship between pitch and frequency.
Ira Lisetskai [31]

The pitch of a sound you hear depends on the frequency of the sound wave. A high frequency sound wave has a high pitch, and a low frequency sound wave has a low pitch.

3 0
3 years ago
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