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Greeley [361]
4 years ago
7

To practice Problem-Solving Strategy 7.2 Conservation of energy with conservative forces. A basket of negligible weight hangs fr

om a vertical spring scale of force constant 1500 N/mN/m . If you suddenly put an adobe brick of mass 3.00 kgkg in the basket, find the maximum distance that the spring will stretch.
Physics
1 answer:
Romashka-Z-Leto [24]4 years ago
4 0

Answer:

0.03924 m

Explanation:

Let g = 9.81 m/s2. Let x be the maximum distance that the spring will stretch. And let the potential energy reference point be at the the lower end where the spring is stretched to the maximum. Using mechanical energy conservation we have the following:

- At the bottom end where the spring is stretched to maximum: potential and kinetic energy is 0. Elastic energy is kx^2/2

- At the point where the weight is placed: potential energy is mgx, kinetic energy and elastic energy is 0 (because the spring is not stretched)

E_p = E_e

kx^2/2 = mgx

x = 2mg/k = 2*3*9.81/1500 = 0.03924 m

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As a substance is changing from a liquid to a gas, the distance between its molecules increases, and the temperature of the system remains the same.

Option A

<u>Explanation:</u>

The external energy required to change from one state to another is mostly considered as temperature. So on increase in temperature, the solid changes to liquid and the liquid changes to gases. But the temperature remains constant in the system after changing the phase.

This is because when the temperature is increased on a liquid system, the rise in temperature is utilized for breaking the bonds and thus the molecules will be distanced from each other. If we consider liquid - gas phase transition, the gas molecules are farther distanced compared to liquid molecules.

So the rise in temperature is utilized for breaking the bonds and also to provide the kinetic energy to the gas molecules as they are tend to move more freely compared to liquid. Thus, the distance between the molecules increases, and the temperature of the system remains the same on changing from liquid to gas.

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3 years ago
The town of seaside needs to build a new power plant the old coal burning plant produces too much pollution and if no longer saf
drek231 [11]

To generate clean energy the mayor my build the fooling type of energy plants:

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solar power plants

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Explanation:

At the seaside there are winds all over the year and that can be transformed in electrical energy by a wind turbine. The mayor can build a on-shore wind farm (reduced consts) and may also build off-shore wind farms (but these have an increased cost).

The second option is to build solar power plants. It will be cost effective if the people in the town will install solar panels on the building roofs. In this way you decrease the costs with the transportation of electrical energy.

The third option is to install wave power plants which harvest energy from the sea waves. It is a rather new technology, in comparison with the other two, but the initial consts can be amortized over time.

All three options will provide clean energy.

Right now nuclear plants have a very expensive initial costs and they may not be afforded by small towns.

Learn more about:

clean energy sources

brainly.com/question/235226

#learnwithBrainly

7 0
4 years ago
What is the mathematical relationship between wavelength and velocity?
gavmur [86]

Answer:A wave has a wavelength λ, which is the distance between adjacent identical parts of the wave. The wave velocity and the wavelength are related to the wave's frequency and period by vw=λT or vw=fλ.

Explanation:

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3 years ago
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3 0
4 years ago
M84, M87, and NGC 4258 all have accretion disks around their central black holes for which the rotational velocities have been m
givi [52]

Answer:

<u>For M84:</u>

M = 590.7 * 10³⁶ kg

<u>For M87:</u>

M = 2307.46 * 10³⁶ kg

Explanation:

1 parsec, pc  = 3.08 * 10¹⁶ m

The equation of the orbit speed can be used to calculate the doppler velocity:

v = \sqrt{\frac{GM}{r} }

making m the subject of the formula in the equation above to calculate the mass of the black hole:

M = \frac{v^{2} r}{G}.............(1)

<u>For M84:</u>

r = 8 pc = 8 * 3.08 * 10¹⁶

r = 24.64 * 10¹⁶ m

v = 400 km/s = 4 * 10⁵ m/s

G = 6.674 * 10⁻¹¹ m³/kgs²

Substituting these values into equation (1)

M = \frac{( 4*10^{5}) ^{2} *24.64* 10^{16} }{6.674 * 10^{-11} }

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<u>For M87:</u>

r = 20 pc = 20 * 3.08 * 10¹⁶

r = 61.6* 10¹⁶ m

v = 500 km/s = 5 * 10⁵ m/s

G = 6.674 * 10⁻¹¹ m³/kgs²

Substituting these values into equation (1)

M = \frac{( 5*10^{5}) ^{2} *61.6* 10^{16} }{6.674 * 10^{-11} }

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The mass of the black hole in the galaxies is measured using the doppler shift.

The assumption made is that the intrinsic velocity dispersion is needed to match the line widths that are observed.

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