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2 years ago

A 0.25 kg book falls off a 2 m shelf on to a 0.5 m chair. What was the change in GPE?

Physics

1 answer:

Snowcat [4.5K]2 years ago

6 0

The equation of GPE is mgH, where m is mass, g is gravitational acceleration, and H is the height.

If we're solving for the change in GPE, then:

∆ $U_{g}$ = mg∆H

Input our given values for m and g:

∆ $U_{g}$ = 0.25 * 9.80 * ∆H

The book falls from 2 meters high to 0.5 meters high, so:

∆ $U_{g}$ = 0.25 * 9.80 * (2.0 - 0.5)

∆ $U_{g}$ = 0.25 * 9.80 * 1.5

∆ $U_{g}$ = 3.675 (J)

Adjust for significant figures:

∆ $U_{g}$ = 3.7 (J)

The change in gravitational potential energy was 3.7 (J)

If you have any questions on anything I did to get to the answer, just ask!

- breezyツ

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The frequency of the oscillation in hertz is calculated to be 0.00031 Hz.

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So;

Period(T) = 54 minutes or 3240 seconds

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2 years ago

The wavelength of a light wave is 700 nm in air; this light appears red. If this wave enters a pool of water, its wavelength bec

hodyreva [135]

Answer

given,

wavelength of light in air = 700 nm

Wavelength of light in water = 530 nm

We know that speed of light changes when it moves from one medium to another.

And the frequency of the wavelength does not changes if the medium changes.

we also know that,

v = ν λ

From the above equation we can say that if frequency is constant so, with the change in velocity changes wavelength will also change.

Hence, wavelength is the property of the wave which determines color.

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3 years ago

If the radius of the sun is 7.001×105 km, what is the average density of the sun in units of grams per cubic centimeter? The vol

xenn [34]

Answer:

Average density of Sun is 1.3927 $\frac{g}{cm}$ .

Given:

Radius of Sun = 7.001 × $10^{5}$ km = 7.001 × $10^{10}$ cm

Mass of Sun = 2 × $10^{30}$ kg = 2 × $10^{33}$ g

To find:

Average density of Sun = ?

Formula used:

Density of Sun = $\frac{Mass of Sun}{Volume of Sun}$

Solution:

Density of Sun is given by,

Density of Sun = $\frac{Mass of Sun}{Volume of Sun}$

Volume of Sun = $\frac{4}{3} \pi r^{3}$

Volume of Sun = $\frac{4}{3} \times 3.14 \times [7.001 \times 10^{10}]^{3}$

Volume of Sun = 1.436 × $10^{33}$ $cm^{3}$

Density of Sun = $\frac{ 2\times 10^{33} }{1.436 \times 10^{33} }$

Density of Sun = 1.3927 $\frac{g}{cm}$

Thus, Average density of Sun is 1.3927 $\frac{g}{cm}$ .

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3 years ago

A brick of mass 4 kg hangs from the end of a spring. When the brick is at rest, the spring is stretched by 3 cm. The spring is t

jeka57 [31]

Answer:

Explanation:

Let s be displacement from equilibrium position . Restoring force

m d²s / dt² = - k s

d²s / dt² = - k /m s

Put k /m = ω

d²s / dt² + ω² s = 0

The solution of this differential equation

= s = A cosωt

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A = 2 cm

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3 years ago

If energy is going into a system, but not being converted into kinetic energy, it will be converted into potential energy. This

7nadin3 [17]

Answer:

1. Plateau where the temperature stays constant

2. Melting

3. Boiling points of the substance

Explanation:

The relationship between kinetic energy and temperature is given as follows;

$\overline E = \dfrac{3}{2} \times \dfrac{R}{N_A} \times T$

Where;

$\overline E$ = The average kinetic energy of the atom

R = The universal gas constant

$N_A$ = Avogadro's number

T = The temperature in Kelvin

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Therefore, we have;

If energy is going into a system, but not being converted into kinetic energy, it will be converted into potential energy. This will be represented by a 1. plateau where the temperature stays constant on a heating curve, which occur at the 2. melting and 3. boiling points of the substance.

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