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Arturiano [62]
2 years ago
14

A spring of spring constant k=8.25N/m is displaced from equilibrium by a distance of 0.150m. What is the stored energy in the fo

rm of spring potential energy? Show your work.
Physics
1 answer:
inysia [295]2 years ago
4 0

Answer:

0.0928J

Explanation:

the pulling force of spring F=-kx

where x is the displacement from equilibrium position.

energy stored:

\int\limits^x_0 {-F} \, dx \\=\int\limits^x_0 {kx} \, dx \\\\=\frac{kx^{2} }{2}

*** Its fine if you know nothing about calculus. Just apply the equation

    U=\frac{kx^{2} }{2}

  where U is the potential energy of the spring***

  put x=0.150, U=\frac{8.25}{2}×0.150^{2} = 0.0928J (corr. to 3 sig. fig.)

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What wavelength of light (in nm) is associated with a frequency of 8.01E15 Hz?
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Explanation: speed of light c= 3.00·10^8 m/s.

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2 years ago
Water (density = 1 ´ 103 kg/m3) flows at 10 m/s through a pipe with radius 0.030 m. the pipe goes up to the second floor of the
Hatshy [7]

density of water = 1000 kg/m^3

velocity of flow = 10 m/s

radius of pipe = 0.030 m

Height of second floor = 2 m

Now we can use here Bernuoli's Equation to find the speed of water flow at second floor

P_1 + 1/2\rho v_1^2 + \rho g h_1= P_2 + 1/2 \rho v_2^2 + \rho g h_2

P + 1/2 * 1000 * 10^2 + 1000* 9.8 * 0 = P + 1/2 * 1000 * v^2 + 1000*9.8*2

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Now in order to find the radius of pipe we can use equation of continuity

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3 0
3 years ago
Describe two experiments to determine the speed of propagation of a transverse wave on a rope. You have the following tools to u
AnnZ [28]

Answer:

#See solution for details.

Explanation:

1.

Tools:stopwatch, \ meter \ stick, \ mass \ measuring \ scale , \ force \ measuring  \ device.

Experiment \ 1:Calculate the speed of the wave using the time,t it takes to travel along the rope. Rope's length,L is measured using the meter stick.

-Attach one end of rope to a wall or post, shake from the unfixed end to generate a pulse. Measure the the time it takes for the pulse to reach the wall once it starts traveling using the stopwatch.

-Speed of the pulse can then be obtained as:

v=\frac{L}{t}

Experiment \ 2: Apply force of known value to the rope then use the following relation equation to find the speed of a pulse that travels on the rope.

v=\sqrt{\frac{F}{\mu}}\ ,\mu=\frac{m}{L}

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4 0
3 years ago
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