PHYSICS HIGH SCHOOL

Halving the kelvin temperature of a gas in a rigid container decreases the gas pressure by one half. a. true
b. false

Answers

Answer 1
Answer: This statement is true

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A child is given an initial push on a rope swing. On the first​ swing, the rope swings through an arc of 12 feet. On each successive​ swing, the length of the arc is 80​% of the previous length. After 14 ​swings, what total length will the rope have​ swung? When the child stops​ swinging, what total length will the rope have​ swung?

Answers

Answer:

After 14 swings, total length = 57.35 feet.

When the child stops swinging, Total length = 60 feet.

Explanation:

The total length of the rope after 14 swings form a geometric progression which is also known as exponential sequence.

The sum of the term in a Geometry progression is

Sₙ = a(1-rⁿ)/1-r.................(1)

Where Sₙ = sum of the nth term, a= first term, n= number of term, r= common ratio.

n=14, a= 12 feet, r=80% = 0.8.

Substituting the values above into equation(1)

S₁₄ = 12(1-0.8¹⁴)/1-0.8

S₁₄=  12(1-0.04398)/1-0.8

S₁₄=   12(0.95602)/0.2

S₁₄ = 11.47/0.2

S₁₄= 57.35 feet

∴ After 14 swings, the total length the rope will swing is = 57.35 feet.

The total length of the rope  when the child stop swinging = sum to infinity of the Geometry progression( exponential sequence).

The sum to infinity of an exponential sequence

S = a/1-r

Where a= first term= 12 feet, r= common ratio = 0.8.

∴ S= 12/1-0.8

  S= 12/0.2

  S = 60 feet

When the boy stops swinging, the total length the rope have swung = 60 feet.

How does the direction of the change in velocity compared to the direction of the acceleration?

Answers


Technically, you can simply point out that "acceleration" MEANS
"change in velocity", so of course they have the SAME direction.
Actually, because acceleration is the derivative of velocity (or change of velocity at a certain point), the acceleration can be in a different direction than the velocity. If the velocity's magnitude is increasing away from zero, then the acceleration is in the same direction as velocity. If the velocity is getting closer and closer to zero (either from the negative or positive end of the number line) then the acceleration is in the opposite direction of velocity.
Think of it like a car. When you are slowing down to stop at a light, your velocity is still going forwards, but your acceleration is negative because it is decreasing the velocity. A negative acceleration is another way of saying that the acceleration is going in the opposite direction of the frame of reference.
If the car is speeding up, the velocity is forward, and the acceleration is in the same direction because the change of velocity is positive.
Hope this helped! :D

Can any one Explain how energy is conserved in a heat pump.

Answers

A heat pump draws heat from a cold object and rejects it to a hot one but it requires electrical energy to achieve this. Therefore, electrical energy is converted into heat energy or work in the pump's compressor. Therefore, energy is conserved.

If an object moves in uniform circular motion in a circle of radius R = 1.0 meter, and the object takes 4.0 seconds to complete ten revolutions, calculate the centripetal acceleration.

Answers

Answer:

a_c=246.5 (m)/(s^2)

Explanation:

The formula for centripetal acceleration is:

a_c=rw^2

Where,

r: radius.

w:Angular speed.

Angular speed is defined by:

w=(\Delta\theta)/(\Delta t)

Where,

\theta: position angle.

t: time.

In this case we have that the object takes 4.0 seconds to complete ten revolutions.

You have to know that 1 revolution = 2\pi rad, then

10 revolutions= 10.2\pi rad = 20\pi rad

Replacing

\Delta\theta=20\pi rad\n\Delta t=4.0s

in the formula of Angular speed:

w=(\Delta\theta)/(\Delta t)\n\nw=(20\pi rad)/(4.0s)

w=5\pi (rad)/(s)\nw=15.7(rad)/(s)

Now we have,

a_c=rw^2\na_c=r(15.7(rad)/(s))^2

r=1.0m

a_c=1.0m(15.7(rad)/(s))^2\n\na_c=1.0(246.5)(m)/(s^2) \n\na_c=246.5(m)/(s^2)

Then the centripetal acceleration is:

a_c=246.5 (m)/(s^2)
a = ω²r

r = 1 m
ω = 2πf = 2π * 10 / 4 = π*5 s⁻¹

Fluid pressure ____________ as depth ____________.a. decreases, increases
c. increases, increases
b. decreases, decreases
d. both b and c are correct

Answers

c. The deeper you go below the fluid's surface the more matter is pressing downward on that point, so the greater the pressure.

Three quarterbacks challenged each other to a throwing competition. They want to see who can throw the ball the furthest. What SI unit would be most appropriate to measure the competition? Question 1 options: Celsius Gram Meter Liter

Answers

Answer:

Meter

Explanation:

The competition between the three quarterbacks is with respect to how far the ball would be thrown by each person, which is the distance covered by the ball. The thrown ball is an example of projectile, which would move over a certain distance.

With respect to the measure to be used in the competition, the appropriate SI unit is meter. This is the measure of length or distance covered.
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