A soccer ball and bowling ball, with the same areas and different masses, are dropped at the same time. How will their motions compare
O The bowling ball will fall faster due to its mass.
O The bowling ball will fall at a slower speed because its mass means it will have more air resistance.
O
The soccer ball will fall slower because it will be affected by air resistance.
O The objects will fall at the same speed because the effect of gravity on them is the same.

Explanation:

The integral of a velocity versus time function is a displacement versus time function

So we integrate,

[tex] {t}^{2} - t[/tex]

The integral of that is

[tex] \frac{1}{3} {t}^{3} - \frac{ {t}^{2} }{2} [/tex]

Plug in 12 for t,

[tex] \frac{1}{3} (12 {}^{3} ) - \frac{12 {}^{2} }{2} [/tex]

[tex]576 - 72 = 504[/tex]

So the displacement is 504 meters to the right.

vf = 12² - 12 = 132 m/s

a = vf' = 2t-1

at t =12 s,

a = 2(12)-1 = 23 m/s²

vf²=vi²+2ad (vi=initial velocity=0)

vf²=2ad

132² = 2 x 23 x d

d = 378.78 m

Answer

Its PO

Explanation:

I got it right on Edge.

Resonance would occur when a vibrating tuning fork is placed near another tuning fork of the same frequency.

Resonance can be defined as a phenomenon in which a physical object is forced to vibrate due to the vibration of a second object at the same natural frequency of the first object.

This ultimately implies that, resonance is an increase in the amplitude of oscillation that only occurs when the frequency of a periodically applied force is equal to the natural frequency of a physical object such as a tuning fork, on which it's acting.

In conclusion, we can infer and logically deduce that resonance would occur when a vibrating tuning fork is placed near another tuning fork of the same frequency.

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If temperature is constant, the volume of a gas varies inversely as its pressure. The constant of proportionality for this variation is 3750.

Temperature is the degree of hotness or coldness of the object.

According to the ideal gas law, pV =nRT

where, p=pressure of gas, V =volume of gas, n=number of moles of element of gas, R=Universal Gas constant and T =temperature

When the temperature is constant,

PV =constant =k

k = 150x 25

k = 3750

Thus , the constant of proportionality is 3750.

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Answer:

5595 m

Explanation:

The wave travels down   (the depth) and the back up (the depth again)

  this distance is     2 d

2 d =  1492 m/s * 7.5 s

2d = 11190 m

d = 5595 m

We are asked for the x coordinate of vertex

Here vertex is present somehow at 850-870nm

The most applicible answer should be 860nm

Option C is correct

Answer:

Explanation:

1. If we increase the distance to twice it's original value, the light intensity is reduced by one-fourth, the light intensity would be:

I0/4

2. rms magnetic field is inversely proportional to distance, so the new rms magnetic field would be:

B0/2

3. average energy density is inversely proportional to the square of the distance, so the new average energy density is:

E0/4

11. The wavelength of the light ray in air is 0.589 x 10⁻⁶ m.

12. Angle of incidence for the light ray at point P is 43.23°.

13. The absolute index of refraction for medium X is 1.46

It states that the ratio of sine of angle of incidence and angle of refraction is equal to the refractive index of first medium to the second medium.

sini/sinr = n₁/n₂

11. The wavelength is related to the frequency as

λ = c/f

where c = 3 x 10⁸ m/s and frequency f = 5.09x 10¹⁴ Hz

Put the values, we get

λ = 3 x 10⁸/ 5.09x 10¹⁴

λ =0.589 x 10⁻⁶ m

Thus, the wavelength of the light ray in air is 0.589 x 10⁻⁶ m.

12. Given the angle of incidence is i, angle of refraction r =90° ,  n₂ = Refractive index of medium X = 1.46 and n₁ = Refractive index of air = 1

Substituting the values into Snell's law expression we get,

sin i= sin 90 x 1/1.46

i = 43.23 degrees

Thus, the angle of incidence is  43.23 degrees.

13. The refractive index is the ratio of speed of light  in vacuum to the speed of light in the medium X.

n = c/v₂

If v₂ is the velocity of light in medium X, then

sin i / sin r  = v₂/v₁

sin 43.23 / sin 90 =  v₂/ 3 x 10⁸

v₂ = 2.055 x 10⁸ m/s

So, the refractive index be

n = 3 x 10⁸/2.055 x 10⁸

n = 1.46

Thus, absolute index of refraction for medium X is 1.46

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The drag force is the force that opposes the movement of a body through a fluid.

The drag force is the force that opposes the movement of a body through a fluid. This occurs in cases such as when a car is moving through air.

Owing to the fact that drag force tends to slow down vehicles when they move at higher speed, vehicles that are meant for racing are streamlined to reduce the drag force.

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I think you might be referring to this full question:

When a planet temporarily moves westward in the sky over the course of several weeks or months (instead of eastward, as it typically does), we call it:

When a planet temporarily moves westward in the sky over the course of several weeks or months we call it retrograde motion.

Retrograde motion is a movement that occurs when a planet rotates at a slower speed compared to another celestial body.

This type of slow movement (retrograde motion) gives us the illusion that the planet is retrograding regarding the other celestial body.

In conclusion, when a planet temporarily moves westward in the sky we call it retrograde motion.

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Answer:

.439 Hz

Explanation:

Wavelength = 6.6 m

speed = 2.9 m/s

  2.9 = 6.6 f

f = 2.9/6.6 =  .439 Hz

Answer:

here

Explanation:

Copper is commonly used as an effective conductor in household appliances and in electrical equipment in general. Because of its low cost, most wires are copper-plated. You will often find electromagnet cores normally wrapped with copper wire

Answer:

Yes, it is possible.

Explanation:

Hope this helps! :)

Answer:

it's possible since scientists have already progressed to making fully transparent & invisible human organs.

Answer:

Explanation:

Magma contains dissolved gases, which provide the driving force that causes most volcanic eruptions. As magma rises towards the surface and pressure decreases, gases are released from the liquid portion of the magma (melt) and continue to travel upward, and are eventually released into the atmosphere.

Remember the formula

[tex]\\ \rm\Rrightarrow A(t)=A_o(0.5)^{\frac{t}{h}}[/tex]

[tex]\\ \rm\Rrightarrow A(7.82\times 10)=A(78.2)[/tex]

[tex]\\ \rm\Rrightarrow 4.11\times 10^{76}(0.5)^{\frac{78.2}{3.91\times 10^{5}}}[/tex]

[tex]\\ \rm\Rrightarrow 4.11\times 10^{76}(0.5)^{20\times 10^{-5}}[/tex]

[tex]\\ \rm\Rrightarrow 4.11\times 10^{76}(0.5)^{0.0002}[/tex]

[tex]\\ \rm\Rrightarrow 4.11\times 10^{76}(0.998)[/tex]

[tex]\\ \rm\Rrightarrow 4.10178\times 10^{76}[/tex]

Why no options matched?

That time given in end i.e 7.82×10

The number of nuclei  of calcium-47 left after 7.82 x 10⁵s is 1.03 x 10¹⁶.

This can be found out using half life and laws of radioactive disintegration.

The Law of radioactive disintegration states  the number of  radioactive decay per unit time is proportional to the number of nuclei present in the sample initially.

So,  ΔN/Δt = λN

Where, ΔN = number of radioactive nuclei decayed

Δt = time taken for decay

N = No of nuclei present initially

λ= decay constant

Half life is the time taken for the radioactive nuclei to reach half of its initial value.

Half life is given by

 [tex]t_{1/2}[/tex] =  λ/t

Given here,  [tex]t_{1/2}[/tex] =  3/91 x 10.⁵s

N = 4.11 x 10¹⁶.

t = 7.82 x 10.⁵s

We see  here that  t = 2([tex]t_{1/2}[/tex])

Now, number of radioactive nuclei left undecayed in  one half life is N/2

So number of nuclei left undecayed in 2 half lives will be 1/2(N/2) = N/4

So number of nuclei left in the sample will be N/4 = (4.11 x 10¹⁶.)/4

So Number of nuclei left in the sample = 1.03 x 10¹⁶.

Hence 1.03 x 10¹⁶is the correct answer.

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Answer:

2.76 eV

Explanation:

The Quanta of Light For example, a photon of blue light of wavelength 450 nm will always have 2.76 eV of energy.

Any circuit diagram given the funda is same .

Answer:

see  picture
Sample Response: The lightbulb will light because this is a parallel circuit. Even though the switch is open in one branch, the branch the lightbulb is in forms a closed circuit, allowing the current to flow through the bulb.

Explanation:

Spontaneous fission is a nuclear equation represents a spontaneous decay.

Spontaneous fission is another type of radioactive decay. In this process, the nucleus will split into two parts and free neutrons with the release of large amount of energy.

So we can conclude that spontaneous fission is a nuclear equation represents a spontaneous decay.

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Answer:

cows a consumer

Explanation:

because it can make food by its own

Answer:

stored

Explanation:

P. E . = m g h  

   represents STORED energy in the form of the height * acceleration of gravity * mass

Answer:mirror

Explanation:

at an angle of 42° from the surface of the mirror. What angle does the reflected ray make with the normal Ans. 42° 2. A ray of light hits a mirror at 27° from the normal.

Answer:

Violet (Shortest Wave Length)

Explanation:

Violet waves have the highest frequencies. The highest frequencies have the shortest wave length.

If the same force acts upon another object whose mass is 26, the object's acceleration is  2 m/s².

It states that the force F is directly proportional to the acceleration a of the body and its mass.

The law is represented as

F =ma

Given is the mass of object m =4 kg and the acceleration a = 13 m/s², then the force will be

F = 4x13 = 52 N

The same force is acted upon the object of mass 26kg, then new acceleration will be

52N = 26 kg x a'

a' = 2 m/s²

Thus, the object's acceleration is 2 m/s²

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Answer:

Radio frequency energy. (Radiation)

Explanation:

the phone is getting hot due to large amount of used electricity. Geothermal energy is getting passed from the earth through the power lines from light and turns into electricity. this is what happens in a phone as well.