Answer:
The angular momentum can be found by the formula:

L = m · v · r

Where:

m = mass of Earth = 5.972×10²⁴ kg

v = velocity of Earth around the Sun = 2.978×10⁴ m/s

r = distance from Sun = 1.496×10¹¹ m

Now, apply the formula:

L = 5.972×10²⁴ · 2.978×10⁴ · 1.496×10¹¹

= 2.661×10⁴⁰ kg·m²/s

The angular momentum of Earth in its motion around the Sun is**2.661****×10⁴⁰ kg·m²/s**.

L = m · v · r

Where:

m = mass of Earth = 5.972×10²⁴ kg

v = velocity of Earth around the Sun = 2.978×10⁴ m/s

r = distance from Sun = 1.496×10¹¹ m

Now, apply the formula:

L = 5.972×10²⁴ · 2.978×10⁴ · 1.496×10¹¹

= 2.661×10⁴⁰ kg·m²/s

The angular momentum of Earth in its motion around the Sun is

Answer:
## Further Explanation

**Is known:**

**m = Earth's mass = 5.972 × 10²⁴ kg**

**v = the speed of the Earth around the Sun = 2,978 × 10⁴ m / s**

**r = distance from the Sun = 1.496 × 10¹¹ m**

**Asked:**

**L?**

**Answer:**

**L = m · v · r**

**L = 5,972 × 10²⁴ · 2,978 × 10⁴ · 1,496 × 10¹¹**

**L = 2,661 × 10⁴⁰ kg · m² / s**

**So, the angular momentum of the Earth in its motion around the Sun is 2.661 × 10⁴⁰ kg · m² / s.**

In physics, **momentum** is a quantity related to the velocity and mass of an object. in classical mechanics, momentum (denoted by P) is defined as the product of mass and velocity, thus producing vectors.

The momentum of an object (P) having mass m and moving with velocity v is defined as:

**P = mv**

**Mass** is a scalar quantity, while velocity is a vector quantity. Multiplication of scalar quantities with vector quantities will produce vector quantities. So, momentum is a vector quantity. The momentum of a particle can be seen as a measure of the difficulty of settling an object. For example, a heavy truck has greater momentum than a light car that moves at the same speed. Greater force is needed to stop the truck compared to a lightweight car in a certain amount of time. (The magnitude of mv is sometimes expressed as linear momentum of the particle to distinguish it from angular momentum).

**Speed** is a vector quantity that shows how fast an object is moving. The magnitude of this vector is named speed and is expressed in units of meters per second (m / s or ms − 1). The mass may be a property of an object that's accustomed to explain the varied behaviors of the item being monitored. In everyday use, mass is typically synonymous with weight. But in keeping with modern scientific understanding, the burden of an object is caused by the interaction of mass with the field

**Learn more**

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**Details**

Grade: College

Subject: Physics

keywords: momentum

A runner first runs a displacement A of 3.20 km due south, and then a second displacement B that points due east. (a) The magnitude of the resultant displacement A + B is 5.38 km. What is the magnitude (in m) of B?

A radio station broadcasts its electromagnetic (radio)waves at a frequency of 9.05 x 107 Hz. These radio waves travel at a speed of 3.00 x 108 m/s. What is the wavelength of these radio waves?

A baseball player standing on a platform throws a baseball out over a level playing field. The ball is released from a point 3.50 m above the field with an initial speed of 14.3 m/s at an upward angle of 27.0 degrees above the horizontal. What horizontal distance will the ball travel before hitting the ground?

When some stars use up their fuel, they undergo a catastrophic explosion called a supernova. This explosion blows much or all of a star's mass outward, in the form of a rapidly expanding spherical shell. As a simple model of the supernova process, assume that the star is a solid sphere of radius R that is initially rotating at 2.4 revolutions per day. After the star explodes, find the angular velocity, in revolutions per day, of the expanding supernova shell when its radius is 4.3R. Assume that all of the star's original mass is contained in the shell.

A charge +Q is located at the origin and a second charge, +4Q, is at distance (d) on the x-axis.a. Where should a third charge, Q , be placed, so that all three charges will be in equilibrium? Express your answer in terms of d.b. What should be its sign, so that all three charges will be in equilibrium?c. What should be its magnitude, so that all three charges will be in equilibrium? Express your answer in terms of Q.

A radio station broadcasts its electromagnetic (radio)waves at a frequency of 9.05 x 107 Hz. These radio waves travel at a speed of 3.00 x 108 m/s. What is the wavelength of these radio waves?

A baseball player standing on a platform throws a baseball out over a level playing field. The ball is released from a point 3.50 m above the field with an initial speed of 14.3 m/s at an upward angle of 27.0 degrees above the horizontal. What horizontal distance will the ball travel before hitting the ground?

When some stars use up their fuel, they undergo a catastrophic explosion called a supernova. This explosion blows much or all of a star's mass outward, in the form of a rapidly expanding spherical shell. As a simple model of the supernova process, assume that the star is a solid sphere of radius R that is initially rotating at 2.4 revolutions per day. After the star explodes, find the angular velocity, in revolutions per day, of the expanding supernova shell when its radius is 4.3R. Assume that all of the star's original mass is contained in the shell.

A charge +Q is located at the origin and a second charge, +4Q, is at distance (d) on the x-axis.a. Where should a third charge, Q , be placed, so that all three charges will be in equilibrium? Express your answer in terms of d.b. What should be its sign, so that all three charges will be in equilibrium?c. What should be its magnitude, so that all three charges will be in equilibrium? Express your answer in terms of Q.

a all of the above

b complimentary

c analogous

d monochromatic

Question 2 Which of the following color pallettes is on trend for 2020?

a primary colors

b earth tones

c cool tones

d hues of pink

Question 3 Which of the following items could be painted in a dark color to be on trend in 2020?

a toilets

b doors

c ceilings

d baseboards

Question 4 Which of the following design genres is OUT in 2020?

a country chic

b traditional

c industrial

d bohemian

Question 5 When designing interiors for the elderly, which of the following items can be used to replace traditional door knobs?

a clap lights

b sliding glass doors

c pocket doors

d door levers

Question 6 What design adaptation can be implemented in the bathroom to help with elderly clients?

a walk in shower

b garden tub

c Jacuzzi

d sponge bath station

Question 7 Which of the following floor types can aid in safe movement throughout the house?

a soft area rugs

b cork

c cement

d slick tile

Question 8 Where should cabinets be place in the kitchen as a safety measure for designing for the elderly?

a basic counter tops that are easily accessible

b above the refrigerator

c over long/extended cabinets

d over the stove

**Answer:**

1: a all of the above

2: b earth tones

3: b doors

4: c industrial

5: d door levers

6: a walk in shower

7: b cork

8: a basic counter tops that are easily accessible

**Explanation:**

**I took the test and got 100%**

**Answer:**

1) monochromatic

2) earth tones

3) doors

4) industrial

5) door levers

6) walk in shower

7) cork

8) a basic counter tops that are easily accessible

**Explanation:**

**I took the test also**

b) Divide the overall process into two physical processes by constructing two energy-system diagrams and applying energy conservation for each, one diagram for the interval corresponding to the ball traveling from Christine’s hand to the maximum height, and then one diagram corresponding to the interval for the ball traveling from the maximum height to 4 meters above the floor headed down.

c) Did you get different answers (in parts (a) and (b)) for the speed of the ball when it is 4 meters above the floor headed down?

**Answer: **

(a). Vf = 7.14 m/s

(b). Vf = 7.14 m/s

(c). same answer

**Explanation:**

for question (a), we would be applying conservation of energy principle.

but the initial height is h = 1.5 m

and the initial upward velocity of the ball is Vi = 10 m/s

Therefore

(a). using conservation law

Ef = Ei

where Ef = 1/2mVf² + mghf ........................(1)

also Ei = 1/2mVi² + mghi ........................(2)

equating both we have

1/2mVf² + mghf = 1/2mVi² + mghi

eliminating same terms gives,

Vf = √(Vi² + 2g (hi -hf))

Vf = √(10² + -2*9.8*2.5) = 7.14 m/s

Vf = **7.14 m/s**

(b). Same process as done in previous;

Ef = Ei

but here the Ef = mghf ...........(3)

and Ei = 1/2mVi² + mghi ...........(4)

solving for the final height (hf) we relate both equation 3 and 4 to give

mghf = 1/2mVi² + mghi ..............(5)

canceling out same terms

hf = hi + Vi²/2g

hf = 1.5 + 10²/2*9.8 = 6.60204m ............(6)

recalling conservation energy,

Ef = Ei

1/2mVf² + mghf = mghi

inputting values of hf and hi we have

Vf = √(2g(hi -hf)) = 7.14 m/s

Vf = **7.14 m/s**

(c). From answer in option **a** and **c, **we can see there were no changes in the answers.

b. the ball becomes positively charged by induction

c. the string is not a perfect insulator

d. there is a rearrangement of the electrons in the ball

e. the number of electrons in the ball is more than the number in the rod

**Answer:**

d. there is a rearrangement of the electrons in the ball

**Explanation:**

Inside the neutral metal ball, there are equal no. of positive charges (protons) and negative charges (electrons). Normally, the charges are distributed evenly throughout the ball.

However, when the positively charged insulating rod is brought near, since positive charges and negative charges attract each other, the electrons (-ve charges) in the metal ball moves towards the side nearest to the rod. The metal ball gets attracted to the rod.

a and b are not correct because the rod is insulating, so electrons cannot be transferred between them to induce a net charge in the metal ball. the no. of electrons is unrelated to the attraction between opposite charges , so e is incorrect as well.

Answer:

U/U₀ = 2

(factor of 2 i.e U = 2U₀)

Therefore, the energy stored in the capacitor is doubled when the plate separation is doubled while the capacitor has been disconnected

Explanation:

Energy stored in a capacitor can be expressed as;

U = 0.5CV^2 = Q^2/2C

And

C = ε₀ A/d

Where

C = capacitance

V = potential difference

Q = charge

A = Area of plates

d = distance between plates

So

U = Q^2/2C = dQ^2/2ε₀ A

The initial energy of the capacitor at d = d₀ is

U₀ = Q^2/2C = d₀Q^2/2ε₀ A ....1

When the plate separation is increased after the capacitor has been disconnected, the charge Q of the capacitor remain constant.

The final energy stored in the capacitor at d = 2d₀ is

U = 2d₀Q^2/2ε₀ A ...2

The factor U/U₀ can be derived by substituting equation 1 and 2

U/U₀ = (2d₀Q^2/2ε₀ A)/( d₀Q^2/2ε₀ A )

Simplifying we have;

U/U₀ = 2

U = 2U₀

Therefore, the energy stored in the capacitor is doubled when the plate separation is doubled while the capacitor has been disconnected.

**Answer:**

The confidence interval for the mean is given by the following formula:

(1)

Since the Confidence is 0.95 or 95%, the value of and , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that

The standard error for this case is given:

Now we have everything in order to replace into formula (1):

**Explanation:**

**Previous concepts **

A **confidence interval **is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The **margin of error** is the range of values below and above the sample statistic in a confidence interval.

**Normal distribution**, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

represent the sample mean for the sample

population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

**Calculate the confidence interval**

The confidence interval for the mean is given by the following formula:

(1)

Since the Confidence is 0.95 or 95%, the value of and , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that

The standard error for this case is given:

Now we have everything in order to replace into formula (1):

**Answer:**

R = 8.94 10⁻² Ω/m, R_sp / R_total = 44.8

**Explanation:**

The resistance of a metal cable is

R = ρ L / A

The area of a circle is

A = π R²

The resistivity of copper is

ρ = 1.71 10⁻⁸ ohm / m

Let's calculate

R = 1.71 10⁻⁸ 4.27 / (π (0.51 10⁻³)²)

R = 8.94 10⁻² Ω/m

Each bugle needs two wire, phase and ground

The total wire resistance is

R_total = 2 R

R_total = 17.87 10⁻² Ω

Let's look for the relationship between the resistance of the bugle and the wire

R_sp / R_total = 8 / 17.87 10⁻²

R_sp / R_total = 44.8

The resistance of the speaker wire can be calculated using the formula for the **resistance **of a wire, taking into account the resistivity of copper, the length and thickness of the wire, and whether a single or pair of wires is used.

The question is asking you to find the minimum resistance of a **copper **wire given its diameter and length, plus the resistance of the speaker it's connected to. Resistance of a wire is calculated using the formula R=ρL/A, where R is the resistance, ρ (rho) is the resistivity of the material (in this case, copper), L is the length of the wire, and A is the cross-sectional area of the wire.

First, you need to find the area of the 0.51 mm diameter wire. The area (A) of a wire is given by the formula π(d/2)^2 where d is the diameter of the wire. After calculating the area, use the formula R=ρL/A to calculate the resistance. For copper wire at 20°C, ρ is approximately 1.68 × 10^-8 Ω·m. Substituting these values into the formula will give you the resistance of the wire in ohms.

Note: you may need to consider whether you have just a single wire or a **pair**, since two wires are typically required to connect a speaker. If a pair is used, each wire will carry half the current, which affects the total resistance.

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