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harina [27]
3 years ago
15

A 10.00 kg mass is attached to a 250N/m spring and set into vertical oscillation. When the mass is 0.50m above the equilibrium i

t is moving at speed 2.4 m/s. Find the amplitude of the oscillation
Physics
1 answer:
Paraphin [41]3 years ago
3 0

assuming the reference line to measure the height for gravitational potential energy lying at the equilibrium position

m = mass attached to the spring = 10.00 kg

k = spring constant of the spring = 250 N/m

h = height of the mass above the reference line or equilibrium position = 0.50 m

x = compression of the spring = 0.50 m

v = speed of mass = 2.4 m/s

A = maximum amplitude of the oscillation

v' = speed of mass at the maximum amplitude location = 0 m/s

using conservation of energy between the point where the speed is 2.4 m/s  and the highest point at which displacement is maximum from equilibrium

kinetic energy + spring potential energy + gravitational potential energy = kinetic energy at maximum amplitude + spring potential energy at maximum amplitude  + gravitational potential energy at maximum amplitude

(0.5) m v² + m g h + (0.5) k x² = (0.5) m v'² + m g A + (0.5) k A²

inserting the values

(0.5) (10) (2.4)² + (10) (9.8) (0.50) + (0.5) (250) (0.50)² = (0.5) (10) (0)² + (10) (9.8) A + (0.5) (250) A²

109.05 = (98) A + (125) A²

A = 0.62 m

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Answer:

\Delta T = \frac{3000 W *0.025 m}{1 m^2 (0.2 \frac{W}{mK})}= 375 K

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Explanation:

For this case we can use the Fourier Law of heat conduction given by the following equation:

Q = -kA \frac{\Delta T}{\Delta x}   (1)

Where k = thermal conductivity = 0.2 W/ mK

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If we solve \Delta T in absolute value from the equation (1) we got:

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First we convert 3KW to W and we got:

Q= 3 KW* \frac{1000W}{1 Kw}= 3000 W

And we have everything to replace and we got:

\Delta T = \frac{3000 W *0.025 m}{1 m^2 (0.2 \frac{W}{mK})}= 375 K

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A grating with 250 grooves mm is used with an incandescent light source. Assume the visible spectrum to range in wavelength from
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The number of orders that one can see the entire visible speed is 5 orders.

<h3>How to calculate the orders?</h3>

From the information given, it should be noted that the grating spacing will be:

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