Write an expression for the distance vector, d, in rectangular form in terms of d and θ, in a coordinate system with the dish at the origin and the unit vectors i and j in the horizontal and vertical directions. (to the right and up)

Answers

Answer 1

d = d * (cos θ * i + sin θ * j) is an expression for the distance vector, d, in rectangular form in terms of d and θ, at the origin and the unit vectors i and j in the horizontal and vertical directions.

What is vector?
A vector is a mathematical object used to represent a quantity with both a magnitude and a direction. Vectors can be used to represent physical quantities such as forces, velocities, and accelerations. They can also be used to represent mathematical operations such as addition and subtraction. Vectors can be represented graphically by drawn arrows, with the length of the arrow representing the magnitude and the direction of the arrow representing the direction. Vectors can also be represented mathematically as a combination of components in a given coordinate system, with each component representing a different direction. Vectors can be added together to create a resultant vector, and can be used to represent the result of any mathematical operation with two or more vectors.

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Related Questions

The momentum of an object is determined to be 7. 2 × 10-3 kg⋅m/s. Express this quantity as provided or use any equivalent unit. (note: 1 kg = 1000 g )

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The momentum of the object when expressed using the equivalent units is determined to be 720 g-cm/s.

What are Equivalent Units?

The amount of work put into a specific quantity of physical goods is measured in equivalent units. You may easily determine equivalent units by multiplying the quantity of physical goods by the amount of work done on them.In order to determine them, the number of physical (or actual) units on hand is multiplied by the units' completion rate.

In the given question, momentum, [tex]p=7.2 \times 10^{-3}[/tex] kg-m/s

Here, the momentum is expressed in SI units.

Now, we can convert the units of momentum into CGS system using the following equivalent units.

1 kg = 1000 g and 1 m = 100 cm

So, we get the momentum as,

[tex]p=7.2 \times 10^{-3} \times 1000 \times 100[/tex] g-cm/s

[tex]\implies 7.2 \times 10^{2}[/tex] g-cm/s

[tex]\implies p=720[/tex] g-cm/s

Hence, the momentum of the object when expressed using the equivalent units is 720 g-cm/s.

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What happens if I fail science in highschool but do well in my other classes? Will I be able to graduate? How will it affect me?

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You should do summer school. If you fail science class you will have to re do it and it will affect by you having to re take the class

Usually depends on the Highschool but i’m sure they’d make u retake it because they’d like u to have enough credits in all the subjects. You can still graduate just do it during summer school or if your school offers a credit recovery opportunity take that. You won’t be affected much as long as you stay on top of it before your senior year (if you are a senior this year you’ll still graduate just later than others if u don’t make it up during the year)

A stationary block has a charge of +6. 0×10−8 c. A 0. 80-kg cart with a charge of +4. 0×10−8 c is initially at rest and separated from the block by 0. 4 m. The cart is released and moves along a frictionless surface to a distance of 1. 0 m from the block. Consider the objects as point charges

Answers

The electrostatic force between the block and the cart is -2.1x10^-5 N and the electrostatic potential energy between the block and the cart along a frictionless surface is -1.4x10^-7 J.

What is frictionless surface?
A frictionless surface is a surface that does not experience any friction when an object moves across it. The concept of a frictionless surface is important in physics and engineering, as it helps to explain the behavior of objects in motion. Frictionless surfaces are found in many everyday objects, from the ice on a hockey rink to the wheels on a race car. The frictionless surface allows objects to move quickly and easily across it, resulting in less energy being lost in the process. Frictionless surfaces are also important in the field of nanotechnology, as they allow nanorobots to move quickly and efficiently.

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Megan Finder, a recent college graduate, is applying for her first credit card. The creditor has asked for a personal net worth statement. Megan owns a scooter worth $2,000. 00 and has $800. 00 in her checking account. She owes Jaycee Auto $920. 00 and River College $125. 0. Complete a net worth statement for Megan Finder. Select Current Date in the appropriate field. Assets should be listed in order of liquidity, so Cash should be listed first. Liabilities should be reported in alphabetic order

Answers

Answer:

Explanation:

Given assets are scooter worth $2000, $800 in her checking account.

So total assets = 2000+800 = $2800

And liabilities are which are owed that is $920 and $125.

So total liabilities = 920+125 = $1045

Net worthy = 2800-1045 = $1755

About liability

A liability is an obligation owned by a person or company that must be paid based on a certain period, usually based on the value of money. But besides money, liabilities can be in the form of obligations in the form of services, goods, or other economic benefits. In recording the balance sheet, liabilities will be recorded on the right or opposite to assets.

In the accounting equation then abbreviated as ALE which consists of assets, liabilities and equity.

The formula, assets = debt + capital.

Some examples of liabilities are debts, loans, mortgages, deferred income, bonds, guarantees, and other accrued expenses.

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What rule describes the rotation about the origin?

(x, y) →

How many degrees was the figure rotated about the origin?

°

Answers

It means that the coordinates of the point were translated using the formula (x, y) since the point rotated at an angle of 180°. (-x, -y). As a result, the necessary rule that characterises the rotation about the origin is as follows: (-x, -y). Example of a 180 degree rotation when rotating a figure about its origin.

What is rotation ?

The circular movement of an object about a primary axis is referred to as rotation or spin. A revolving object in two dimensions only has one conceivable central axis and can revolve either clockwise or anticlockwise. There are countless conceivable central axes and rotating orientations for a three-dimensional object.

Here are the guidelines for rotation: rotation in the direction of 90°: (x,y) becomes (y,-x) rotation of (x,y) at 90 degrees anticlockwise results in (-y,x) Rotating (x, y) 180 degrees both clockwise and anticlockwise results in (-x,-y)

Thus, the necessary rule that characterises the rotation about the origin is as follows: (-x, -y).

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Answer: 1. -x,-y

2. 180

Explanation:edge

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