• Trail_Builder
In summary, the conversation discusses the relationship between kinetic energy (KE) and speed (v) of an object, with the statement that KE is directly proportional to v^2. The formula for KE in terms of v is derived, and a clarification is made that one property is proportional to another. The listener thanks the expert for clearing up their confusion.

#### Trail_Builder

bascially, I'm 100% sure i understod the wording of the question, below, can you please check though i confirm i interpretted right, thnx buddies

## Homework Statement

the kinetic energy, E joules, of an object moving with a speed v m/s, is directly proportional to v^2.

the kinetic energy of the object is 15 480 joules when its speed is 6 m/s.

a) find a formula for E in terms of v

none

## The Attempt at a Solution

Ev (proportional sign) v^2
Ev = kv^2
15480 x 6 = k x 6^2
92 880 = k x 36
k = 2580

Ev = 2580 x v^2
E = 2580v

thnx for the help

I am curious as to how you came to this conclusion;
Trail_Builder said:
Ev (proportional sign) v^2

that where i get confused, i kinda thought the question meant that the kin energy times the speed is proportional to the speed squared

either that or I'm totally confused

thnx

Trail_Builder said:
that where i get confused, i kinda thought the question meant that the kin energy times the speed is proportional to the speed squared

either that or I'm totally confused

thnx
No, not quite. The statement means simply that $E\propto v^2$.

Last edited:
o rite, i see, thnx for clearing that up, but isn't it E proptional to v squared?

thnx buddy

The trick (if I understand the source of your confusion) is to learn to partition the sentence correctly.
Trail_Builder said:
the kinetic energy, E joules, of an object moving with a speed v m/s, is directly proportional to v^2.
Try to throw away all non-essential details and extract the thrust of the statement, i.e., some property of some object is proportional to some other property.

Then you can keep track of the details separately...
Some property = KE
some object = "object moving with a speed v"
some other property = v^2

The upshot of this is that one property is proportional to another, namely, KE prop v^2

Perhaps it would help if you read the sentence as though it were written this way: the kinetic energy, E joules, (of an object moving with a speed v m/s) is directly proportional to v^2.

Trail_Builder said:
o rite, i see, thnx for clearing that up, but isn't it E proptional to v squared?

thnx buddy
Sorry, that was a typo. Now corrected

Gokul43201 said:
The trick (if I understand the source of your confusion) is to learn to partition the sentence correctly.
Try to throw away all non-essential details and extract the thrust of the statement, i.e., some property of some object is proportional to some other property.

Then you can keep track of the details separately...
Some property = KE
some object = "object moving with a speed v"
some other property = v^2

The upshot of this is that one property is proportional to another, namely, KE prop v^2

Perhaps it would help if you read the sentence as though it were written this way: the kinetic energy, E joules, (of an object moving with a speed v m/s) is directly proportional to v^2.

o rite eyh that'll be where i was going wrong lol, thnx for that, i understadn now :D

1.

## What is the purpose of "Question wording, please confirm"?

The purpose of this phrase is to ensure that the participant understands the question and is giving an accurate response. It serves as a prompt for the participant to double check their understanding and confirm that they are providing the requested information.

2.

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As a scientist, it is crucial to have clear and concise data in order to draw accurate conclusions. By using this phrase, researchers can minimize misunderstandings and ensure that the data collected is valid and reliable.

3.

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This phrase should be used whenever there is a possibility of confusion or misinterpretation in the wording of a question. It is especially important in surveys or questionnaires where participants may not have the opportunity to clarify their responses in person.

4.

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5.

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