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Liula [17]
2 years ago
7

a 15-kg block is on a frictionless ramp that is inclined at 20° above the horizontal. it is connected by a very light string ove

r an ideal pulley at the top edge of the ramp to a hanging 19-kg block, as shown in the figure. the string pulls on the 15-kg block parallel to the surface of the ramp. find the magnitude of the acceleration of the 19-kg block after the system is gently released?
Physics
1 answer:
saw5 [17]2 years ago
5 0

Hi there!

Since the string is light and there is no friction in the pulley, the acceleration of the system is equal to the acceleration of both blocks.

We can begin by summing the forces of each block:

Block on incline:

- Force of gravity (in the negative direction away from the acceleration)

- Force of Tension

∑F = -M₁gsinФ + T

Block hanging:

- Force of gravity (Positive, in direction of acceleration)

- Force of Tension (Negative, opposite from acceleration)

∑F = M₂g - T

Sum both of these net forces for each block:

∑Fт = -M₁gsinФ + T - T + M₂g

∑Fт = -M₁gsinФ + M₂g

Divide by the mass to solve for acceleration:

a = \frac{-M_1gsin\theta+M_2g}{M_1+M_2}

Plug in the given values:

a = \frac{-(15)(9.81)(sin20)+19(9.81)}{15+19} = 4.002 m/s^2

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At what angle should the axes of two polaroids be placed so as to reduce the intensity of the incident unpolarized light to 13.
prohojiy [21]

Answer:

θ = 66.90°

Explanation:

we know that

I= \frac{I_0}{2}cos^2\theta

I= intensity of polarized light =1

I_o= intensity of unpolarized light = 13

putting vales we get

1= \frac{13}{2}cos^2\theta

⇒\theta=cos^{-1} \sqrt{\frac{1}{6.5} }

therefore θ = 66.90°

5 0
2 years ago
A pipe is open at both ends. The pipe has resonant frequencies of 528 Hz and 660HZ (among others).
yawa3891 [41]

To develop this problem it is necessary to apply the oscillation frequency-related concepts specifically in string or pipe close at both ends or open at both ends.

By definition the oscillation frequency is defined as

f = n\frac{v}{2L}

Where

v = speed of sound

L = Length of the pipe

n = any integer which represent the number of repetition of the spectrum (n)1,2,3...)(Number of harmonic)

Re-arrange to find L,

f = n\frac{v}{2L}\\L = \frac{nv}{2f}

The radius between the two frequencies would be 4 to 5,

\frac{528Hz}{660Hz}= \frac{4}{5}

4:5

Therefore the frequencies are in the ratio of natural numbers.  That is

4f = 528\\f = \frac{528}{4}\\f = 132Hz

Here f represents the fundamental frequency.

Now using the expression to calculate the Length we have

L = \frac{nv}{2f}\\L = \frac{(1)343m/s}{2(132)}\\L = 1.29m

Therefore the length of the pipe is 1.3m

For the second harmonic n=2, then

L = \frac{nv}{2f}\\L = \frac{(2)343m/s}{2(132)}\\L = 2.59m

Therefore the length of the pipe in the second harmonic is 2.6m

7 0
3 years ago
1. A wave on a rope has a wavelink of 2.0m And a frequency of 2.0 Hz. What is the speed of the wave?
Mashcka [7]

Answer:

1. 4

2.0.625HZ

3.500

4. 428274940000000 or 4.2*10^14

5. 2

Explanation:

omnicalculator.com/physics/wavelength

5 0
3 years ago
A 5.00-pF, parallel-plate, air-filled capacitor with circular plates is to be used in a circuit in which it will be subjected to
Nostrana [21]

Answer:

a) r=4.24cm d=1 cm

b) Q=5x10^{-10} C

Explanation:

The capacitance depends only of the geometry of the capacitor so to design in this case knowing the Voltage and the electric field

V=1.00x10^{2}v\\E=1.00x10^{4} \frac{N}{C}

V=E*d\\d=\frac{V}{E}\\d=\frac{1.0x10^{2}}{1.0x10^{4}}\\d=0.01m

The distance must be the separation the r distance can be find also using

C=\frac{Q}{V_{ab}}

But now don't know the charge these plates can hold yet so

a).

d=0.01m

C=E_{o}*\frac{A}{d}\\A=\frac{C*d}{E_{o}}

A=\frac{5pF*0.01m}{8.85x10^{-12}\frac{F}{m}}\\A=5.69x10^{-3}m^{2}

A=\pi *r^{2}\\r=\sqrt{\frac{A}{r}}\\r=\sqrt{\frac{5.64x10^{-3}m^{2} }{\pi } }  \\r=42.55x^{-3}m

b).

C=\frac{Q}{V_{ab}}

Q=C*V\\Q=5x10^{-12} F*1x10^{2}\\Q=5x10^{-10}C

5 0
3 years ago
an object is moving with a speed of 35 m/s and has a kinetic energy of 1500 J, what is the mass of the object?
Elena-2011 [213]
You'd use the equation kinetic energy=mass*0.5*speed^2
So you'd rearrange this to get mass =kinetic energy /0.5 *speed^2
Which is mass= 1500J/0.5*35^2
=2.44897959183673469........kg
5 0
2 years ago
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