Select the correct answer.
The formula for finding the kinetic energy, E, of an object is given below, where m represents the mass and v represents the speed of
the object.
E = mv2
Solve the formula for v.

Answers

Answer 1

Final answer:

You can solve the kinetic energy formula E = mv² for 'v' by first dividing by 'm' to get E/m = v² and then taking the square root of both sides, resulting in v = sqrt(E/m).

Explanation:

The kinetic energy of an object is given by the equation E = mv², where 'm' is the mass of the object and 'v' is its speed. If you want to solve this formula for 'v', you would start by dividing both sides of the equation by 'm'. Doing this, you would get: E/m = v². Then, you would take the square root of both sides to isolate 'v'. This would give you: v = sqrt(E/m), where sqrt stands for 'square root'.

This means that the speed of the object can be found by taking the square root of the kinetic energy divided by the mass of the object.

Learn more about Kinetic Energy here:

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Answer 2

The expression for y is y = [tex]\frac{2E}{m}[/tex].

To solve the kinetic energy formula E=[tex]\frac{1}{2}[/tex] [tex]mv^{2}[/tex] for y, we need to isolate y on one side of the equation. The formula can be rearranged as follows:

E=[tex]\frac{1}{2}[/tex][tex]mv^{2}[/tex]

Multiply both sides of the equation by 2 to eliminate the fraction:

2 E = [tex]mv^{2}[/tex]

Now, to solve for y, which is represented by [tex]mv^{2}[/tex] , divide both sides by m:

y = [tex]\frac{2E}{m}[/tex]

So, the expression for y is y = [tex]\frac{2E}{m}[/tex] .

This final equation tells us that y (representing [tex]mv^{2}[/tex] ) is equal to twice the kinetic energy (E) divided by the mass (m) of the object.

In physics, [tex]mv^{2}[/tex] is often associated with momentum or the force needed to change the object's velocity.

This derived formula provides a clear representation of the relationship between kinetic energy, mass, and velocity in terms of y.

Question

The formula for finding the kinetic energy, E, of an object is given below, where m represents the mass and v represents the speed of the object. E= 1/2 mv^2 Solve the formula for y.

Related Questions

The area of a rectangular tennis court is 140 square meters. It’s length is 6 meters less than twice it’s width. Find the dimensions of the tennis court

Answers

let the width be : x
length : (2x - 6)

(2x - 6) (x) = 2x square - 6x

2x square - 6x = 140
2x square - 6x - 140 = 0

if you use the cross method or calculator you’ll get :

( x - 10 ) ( x + 7) = 0

x = 10 or x = -7 ( reject because negative )
so we use x = 10.

width = 10
length = 2(10) - 6 = 14

The dimensions of the tennis court are:

Length = 14 m

Length = 14 mWidth = 10 m

Let the width be y.

From the question given above,

The length is 6 meters less than twice it’s width. This can be obtained written as:

Length = 2y – 6

Area = 140 m²

Dimension =?

Next, we shall determine the width (i.e y)

Dimension = Area = Length × width

140 = (2y – 6)y

140 = 2y² – 6y

Rearrange

2y² – 6y – 140 = 0

Divide through by 2

y² – 3y – 70 = 0

Multiply the 1st term (i.e y²) and the last term (i.e –70) together. The result is –70y². Find two factors of –70y² such that their sum will result to the 2nd term (i.e –3y). The factors are –10y and 7y.Substitute –10y and 7y in place of –3 in the equation above.

y² – 3y – 70 = 0

y² – 10y + 7y – 70 = 0

Factorize

y(y – 10) + 7(y – 10) = 0

(y – 10)(y + 7) = 0

y – 10 = 0 or y + 7 = 0

y = 10 or –7

Since measurement can not be negative,

Width = y = 10 m

Finally, we shall determine the length.

Length = 2y – 6

y = 10

Length = 2(10) – 6 = 20 – 6

Length = 14 m

Therefore, the dimensions of the tennis court are

Length = 14 m

Length = 14 mWidth = 10 m

Learn more: https://brainly.com/question/20605232

If x(x - 5) = 14, then what is x equal to

Answers

Answer:

x(x-5) = 14

x^2-5x-14 = 0

x^2 -7x+2x-14=0

x(x-7)+2(x-7)=0

(x+2)(x-7)=0

x = -2, 7

Hope this helps!

I NEED HELP QUICKKKKK

Tina's salsa class membership, which is $15, is deducted automatically from her bank account every month. Which expression shows the total deductions for the year?

(−$15) − 12

(−$15) + 12

(−$15) ÷ 12

(−$15) ⋅ 12

Answers

Answer:

the last one

(-15)x12

hope this helps!

Plz help I dont know this answer do if u can help plz do

Answers

Answer:

The scale factor is 1/3

Step-by-step explanation:

we know that

The scale factor is equal to divide the length side of the image (square A'B'C'D') by the length side of the pre-image (square ABCD)

Let

z ---> the scale factor

x----> the length side of the image (square AB'C'D')

y----> the length side of the pre-image (square ABCD)

[tex]z=\frac{x}{y}[/tex]

we have

[tex]x=2\ units\\y=6\ units[/tex]

substitute

[tex]z=\frac{2}{6}[/tex]

simplify

[tex]z=\frac{1}{3}[/tex]

The scale factor is less than 1, so the dilation is a reduction

therefore

The scale factor is 1/3

Which of the following is a true statement?

A. |-15| = -15
B. |-12| > -15
C. |-12| > |15|
D. |15| > |-15|

Answers

Answer:

A. is False

B. is True

C. is False

D. is False

Step-by-step explanation:

Its absolute value so that means all numbers are now positive only with the ones that are with the double lines

can someone help me please do tomorrow

Answers

Answer:

Step-by-step explanation:

Square root of 72=

8.485281474

A. 6

B. 6 square root 2=

8.485281474

C. 36

D. square root of 6=

2.449489743

Solve for x.
7x + 14 – 2x = −x + 12 – x − 19

A. x = −3
B. x = −1
C. x = 1
D. x = 3

Answers

Answer:

x=-3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

A.K.A – 3.

Step-by-step explanation:

Which is the best first step and explanation for solving this system of equations?

Answers

Answer:

Subtract equation 1 from equation 2

Step-by-step explanation:

Solve the following system: