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stepladder [879]
3 years ago
15

Starting from rest, a 2-m-long pendulum swings from an angleof

Physics
1 answer:
Andrews [41]3 years ago
5 0

Answer:

D.) 1m/s

Explanation:

Assume the initial angle of the swing is 12.8 degree with respect to the vertical. We can calculate the vertical distance from this initial point to the lowest point by first calculate the vertical distance from this point the the pivot point:

L_1 = L*cos(12.8) = 2*0.975 = 1.95 m

where L is the pendulum length

The vertical distance from the lowest point to the pivot point L_2 is the pendulum length 2m

this means the vertical distance from this initial point to the lowest point is simply:

L_3 = L_2 - L_1 = 2 - 1.95 = 0.05 m

As the pendulum travel (vertically) from the initial point to the bottom point, its potential energy is converted to kinetic energy:

E_p = E_k

mgh = mv^2/2

where m is the mass of the pendulum, g  = 10 m/s2 is the constant gravitational acceleration, h = 0.05 is the vertical it travels, v is the pendulum velocity at the bottom, which we are trying to solve for.

The m on both sides of the equation cancel out

v^2 = 2gh = 2*10*0.05 = 1

v = \sqrt{1} = 1 m/s

so D is the correct answer

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A 0.45-m metal rod moves 0.11 m in a direction that is perpendicular to a 0.80-T magnetic field in an elapsed time of 0.036 s. A
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1.1 V

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A student measures the volume of a gas sample at several different temperatures. The results are tabulated as follows:Temperatur
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Answer:

Check the first and the third choices:

<u><em /></u>

  • <u><em>a. The temperature of a gas is directly proportional to its volume</em></u>
  • <u><em>b. The temperature-to-volume ratio of a gas is constant.</em></u>

Explanation:

Rewrite the table for better understanding:

Temperature of gas (K)     Volume of gas (L)

     298                                     4.55

     315                                      4.81

     325                                     4.96

     335                                        ?

Calculate the ratios temperature to volume with 3 significant figures:

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  • 315 / 4.81 = 65.5
  • 325 / 4.96 = 65.5

Then, those numbers show a <u><em>constant temperature-to-volume ratio</em></u>, which may be expressed in a formula as:

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Hence, the correct choices are:

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3 years ago
Consider a blackbody that radiates with an intensity I1I1I_1 at a room temperature of 300K300K. At what intensity I2I2I_2 will t
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Answer:

Explanation:

We shall apply Stefan's formula

E = AσT⁴

When T = 300

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When T = 400K

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I₂ / I₁ = 400⁴ / 300⁴

= 256 / 81

= 3.16

I₂ = 3.16 I₁ .

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