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Ratling [72]
3 years ago
6

A 16 pound weight attached to a spring exhibits simple harmonic motion. Determine the equation of motion if the spring constant

is 8 lb/ft and if the weight is released 6 inches below the equilibrium position with a downward velocity of 1 ft/s.
Physics
1 answer:
yarga [219]3 years ago
8 0

Answer:

T = 2.82π s

x = Acos(0.71t)

Explanation:

This problem can be solved by using the expressions

T = 2\pi \sqrt{\frac{m}{k} }    ( 1 )

x=Acos(\omega t) = Acos(\frac{2\pi }{T}t )   ( 2 )

where T is the period of oscillation of the system, m is the mass of the object attached to the spring, k is the spring constant and x is the position of the object.

By replacing in the expression (1):

T=2\pi \sqrt{\frac{16 lb}{8lb/ft}} = 2.82\pi s

Taking 6 inches as the amplitude of the motion, we have

x=6cos(\frac{2\pi }{2.82\pi }t ) = 6cos(0.71t)

I hope this is useful for you

Regards

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Determine e when I = 0.50 A and R = 12 W.
sammy [17]

Answer:

The correct answer is "24 V".

Explanation:

The given values are:

Current,

I = 0.50 A

Resistance,

R = 12 W

As we know,

⇒ I = 0.5\times (\frac{E}{2R})

On substituting the given values, we get

⇒ 0.5= (\frac{E}{4\times 12} )

⇒ 0.5= (\frac{E}{48} )

⇒   E=24 \ V  

7 0
3 years ago
Determine the amount of work done on an ideal gas as it is heated in an enclosed thermally insulated cylinder topped with a free
sp2606 [1]

Answer:

W = 3/2 n (T₁- T₂)

Explanation:

Let's use the first law of thermodynamics

           ΔE = Q + W

in this case the cylinder is insulated, so there is no heat transfer

           ΔE = W

internal energy can be related to the change in temperature

            ΔE = 3/2 n K ΔT

we substitute

           3/2 n (T₂-T₁) = W

as the work is on the gas it is negative

            W = 3/2 n (T₁- T₂)

3 0
3 years ago
parallel-plate air capacitor is made from two plates 0.070 m square, spaced 6.3 mm apart. What must the potential difference bet
Rom4ik [11]

Answer:

V = 576 V

Explanation:

Given:

- The area of the two plates A = 0.070 m^2

- The space between the two plates d = 6.3 mm

- Te energy density u = 0.037 J /m^3

Find:

- What must the potential difference between the plates V?

Solution:

- The energy density of the capacitor with capacitance C and potential difference V is given as:

                               u = 0.5*ε*E^2

- Where the Electric field strength E between capacitor plates is given by:

                               E = V / d

Hence,

                               u = 0.5*ε*(V/d)^2

Where, ε = 8.854 * 10^-12

                               V^2 = 2*u*d^2 / ε

                               V = d*sqrt ( 2*u / ε )

Plug in values:

                               V = 0.0063*sqrt ( 2 * 0.037 / (8.854 * 10^-12) )

                               V = 576 V

4 0
3 years ago
What color of light must blue light mix with to create white light?
schepotkina [342]
<h2>Answer: a. Yellow </h2>

According to the additive theory of color, when we join the <u>three primary colors of light</u> (Red + Green + Blue) we get White light.

On the other hand we have <u>secondary colors of ligh</u>t that are:

Yellow = Red + Green

Magenta = Blue + Red

Cyan = Blue + Green

Now, if we know that:

Red + Green + Blue = White

And:

Red + Green = Yellow

Then:

<h2>Yellow + Blue = White</h2>
5 0
3 years ago
Who was the first person to describe the earth as a magnet
denis-greek [22]

Answer:

William Gilbert

Explanation:

first described the Earth as a giant dipole magnet 400 years ago. But, as Rod Wilson recounts, he did far more than this.

5 0
3 years ago
Read 2 more answers
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