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DENIUS [597]
2 years ago
5

An object on the end of a spring with spring constant k moves in simple harmonic motion with amplitude A and frequency f. Which

of the following is a possible expression for the kinetic energy of the object as a function of time t?
a. kA^2sin^(2πft)
b. 1/2kA^2cos^2(2πft)
c. 1/2kA sin(2πft)
d. kAcos(2πft)
e. 1/2kAsin(2πft)
Physics
1 answer:
KonstantinChe [14]2 years ago
3 0

Answer: option b.

Explanation:

The kinetic energy of a spring with constant K is calculated as:

kinetic energy = (k/2)*x^2

Where x^2 is the displacement of the spring with respect to it's rest position.

This can be written as a function like:

x = A*cos(2*pi*f*t)

where:

A is the amplitude (the maximum distance that the spring can move in each direction)

f is the frequency (and 2*pi*f is the angular frequency)

and t is the variable, it represents the time.

Replacing this in the kinetic energy equation, we get:

kinetic energy = (k/2)*(A*cos(2*pi*f*t))^2

This is the same as the option b: b. 1/2kA^2cos^2(2πft)

Then the corrrect option is b.

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Tasya [4]

Answer:

C. Fill two identical pots with equal volumes of salt water and tap water and use a stopwatch to determine the time it takes each pot to boil.

Explanation:

<u>A) is incorrect</u> because Peter should have the same testing environment for both of his experiments.

He should choose the same method of boiling the salt water and tap water because the stovetop and the microwave could also affect the results and make them unreliable.

<u>B) is incorrect</u> because Peter should not estimate the time it takes the salt water and tap water to boil.

Peter should measure and record the amount of time that it takes these substances to boil in order to have an accurate, valid experimental thesis.

<u>C) is correct</u> because Peter uses the same volume of salt water and tap water, fills them into two identical pots, and uses a stopwatch to determine the amount of time it takes each pot to boil.

The stopwatch makes the experiment more valid and accurate compared to the previous methods, and the identical pots and amounts of water help this experiment become even more precise.

<u>D) is incorrect</u> because the variables in the experiment are not controlled amounts and will therefore produce an inaccurate and invalid experiment.

6 0
1 year ago
Read 2 more answers
3. A ray of light incident on one face of an equilateral glass prism is refracted in such a way that it emerges from the opposit
Vilka [71]

Answer:

i) angle of incidence;i = 29.43°

ii) δm = 38.92°

Explanation:

Prism is equilateral so angle of prism (A) = 60°

Refractive index of glass; n_glass = 1.52

A) Let's assume the incident angle = i and Critical angle = θc

We know that, sin θc = 1/n

Thus;

sin θc = 1/n_glass

θc = sin^(-1) (1/n_glass)

θc = sin^(-1) (1/1.52)

θc = 41.14°

Now, the angle of prism will be the sum of external angle that is critical angle and reflected angle.

Thus;

A = r + θc

r = A - θc

So;

r = 60° - 41. 14°

r = 18.86°

From, Snell's law. If we apply it to this question, we will have;

(sin i)/(sin r) = n_glass

Where;

i is angle of incidence and r is angle of reflection.

Let's make i the subject;

i = sin^(-1) (n_glass × sin r)

i = sin^(-1) (1.52 × sin 18.86)

i = sin^(-1) 0.4914

i = 29.43°

B) The formula to calculate minimum deviation would be from;

μ = [sin ((A + δm)/2)]/(sin A/2)

Where;

μ is Refractive index

δm is minimum angle of deviation

A is angle of prism

Now Refractive index is given by a formula; μ = (sin i)/(sin r)

So; μ = (sin 29.43)/(sin 18.86)

μ = 1.52

Thus;

1.52 = [sin ((60 + δm)/2)]/(sin 60/2)

1.52 * sin 30 = sin ((60 + δm)/2)

0.76 = sin ((60 + δm)/2)

sin^(-1) 0.76 = ((60 + δm)/2)

49.46 × 2 = (60 + δm)

98.92 - 60 = δm

δm = 38.92°

4 0
2 years ago
A cylindrical shell of radius 7.1 cm and length 251 cm has its charge density uniformly distributed on its surface. The electric
Norma-Jean [14]

Answer:

0.00000131569788654 C

0

Explanation:

R = Radius = 7.1 cm

L = Length of shell = 251 cm

r = 25.2 cm

E = Electric field = 37400 N/C

Electric field is given by

E=\dfrac{2kq}{rL}\\\Rightarrow q=\dfrac{ErL}{2k}\\\Rightarrow q=\dfrac{37400\times 0.252\times 2.51}{2\times 8.99\times 10^{9}}\\\Rightarrow q=0.00000131569788654\ C

The net charge on the shell is 0.00000131569788654 C

Here, 4.07<7.1 cm which means r'<R

From Gauss law the electric at that point is 0

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2 years ago
State one way of making the surface tension of a liquid stronger​
Juli2301 [7.4K]

Answer:

Actually, Surface tension is a phenomenon in which the surface of a liquid, where the liquid is in contact with a gas, acts as a thin elastic sheet. This term is typically used only when the liquid surface is in contact with gas (such as the air). If the surface is between two liquids (such as water and oil), it is called "interface tension."  Van der Waals forces, draw the liquid particles together. This is an example.

Explanation:

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2 years ago
Based on its chemical makeup, where do you think amazonite is found? Please help me!
dezoksy [38]
It can be found in the U.S. and other parts around the world! It doesn't come from the Amazon River, but it's been found in Brazil before. Also, Amazonite is a green variety of "Microline Feldspar".
5 0
2 years ago
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