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Lilit [14]
3 years ago
8

A 3.0-kg cart rolls down a hill. Assume that the height of the cart changes from a maximum of 4.0 meters at the top of the hill

to 0.0 meters at the bottom. The speed of the cart changes from 0.0 m/s to 3.0 m/s. How much kinetic energy does the cart have when it is half-way down the hill?
A) 6.0J
B) 12.0J
C) 58.8J
D) 117.6J
Physics
1 answer:
levacccp [35]3 years ago
7 0

Answer:

C) 58.8 J

Explanation:

Initially, the cart has only potential energy.

PE = mgh

PE = (3.0 kg) (9.8 m/s²) (4.0 m)

PE = 117.6 J

Halfway down the hill, half the potential energy has been converted to kinetic energy.

KE = 117.6 J / 2

KE = 58.8 J

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Lesechka [4]

Answer:

+1/3

Explanation:

The lens equation states that:

\frac{1}{f}=\frac{1}{p}+\frac{1}{q}

where

f is the focal length

p is the distance of the object from the lens

q is the distance of the image from the lens

For a diverging lens, the focal length is negative: f=-f

and we also know that the object is placed a distance of twice the focal length, so p=2f

So we can find q from the equation above

\frac{1}{q}=\frac{1}{f}-\frac{1}{p}=\frac{1}{-f}-\frac{1}{2f}=-\frac{3}{2f}\\q=-\frac{2}{3}f

And the magnification of the image is given by

M=-\frac{q}{p}=-\frac{-\frac{2}{3}f}{2f}=\frac{1}{3}

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Correctly round the following number to the whole number<br> 2.35784
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Color blindness is a sex-linked, trait.
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3 years ago
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A function is defined by f(x)= 6x+1.5. What is f(2.5)?
sveticcg [70]

Answer:

f(2.5) = 16.5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Functions
  • Function Notation

Explanation:

<u>Step 1: Define</u>

<em>Identify</em>

[Function] f(x) = 6x + 1.5

[Given] f(2.5) is <em>x</em> = 2.5 for function f(x)

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em> [Function f(x)]:                                                                           f(2.5) = 6(2.5) + 1.5
  2. Multiply:                                                                                                             f(2.5) = 15 + 1.5
  3. Add:                                                                                                                   f(2.5) = 16.5
4 0
3 years ago
Pravat exerts a force of 30 N to lift a bag of groceries 0. 5 m. How much work did Pravat do on the bag? Note : Work = Force x D
Black_prince [1.1K]

The amount of work done by Pravat if he exerts a force of 30 N to lift a bag of groceries 0.5m is 15J.

<h3>WORK DONE:</h3>

The work done by a body can be calculated by multiplying the force exerted by the distance moved. That is;

Work done = force (F) × distance (m)

According to this question, Pravat exerts a force of 30N to lift a bag of groceries 0.5 m. The work done is calculated as follows:

Work done = 30N × 0.5m

Work done = 15J

Therefore, the amount of work done by Pravat if he exerts a force of 30 N to lift a bag of groceries 0.5m is 15J.

Learn more about work done at: brainly.com/question/8119756?referrer=searchResults

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