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Mnenie [13.5K]
3 years ago
5

Study the motion map shown. what do the circled vectors represent?

Physics
1 answer:
BabaBlast [244]3 years ago
3 0

Answer:

It's option d - Negative acceleration

Explanation:

  • Let's start by demonstrate why <em>it's not option b - Speed : </em>Speed is a scalar quantity so it can not be represented by a vector
  • Let's check that <em>the green  vectors represent velocity</em> (velocity is a vector quantity, velocity is a direction aware, while speed is just a scalar)

  • Now let's  show that the circled vectors are acceleration vectors:

Mathematically position X , velocity V and acceleration A are:

\frac{dX}{dt} = V and \frac{dV}{dt} = A

Where X, V, A are vectors and \frac{d(a)}{dt} = b  indicates the derivate a of a time is equal to b.

So, this show that acceleration is a rate respect of time of velocity ⇒ When acceleration is positive, velocity increments, when acceleration is negative, velocity decrements.

<em>The above explanation correspond to the motion map shown, getting demonstrated that the answer is D - Negative acceleration </em>

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Explanation:

For each object, the initial potential energy is converted to rotational energy and translational energy:

PE = RE + KE

mgh = ½ Iω² + ½ mv²

For the marble (a solid sphere), I = ⅖ mr².

For the basketball (a hollow sphere), I = ⅔ mr².

For the manhole cover (a solid cylinder), I = ½ mr².

For the wedding ring (a hollow cylinder), I = mr².

If we say k is the coefficient in each case:

mgh = ½ (kmr²) ω² + ½ mv²

For rolling without slipping, ωr = v:

mgh = ½ kmv² + ½ mv²

gh = ½ kv² + ½ v²

2gh = (k + 1) v²

v² = 2gh / (k + 1)

The smaller the value of k, the higher the velocity.  Therefore:

marble > manhole cover > basketball > wedding ring

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How does the ocean influence climate?
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How does Mercury's close proximity to the sun and thin atmosphere affect its ability to maintain liquid water
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Radiometric dating is done by comparing the ratio of _____. A. two radioactive isotopes over time. B. a stable isotope to a deca
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3 years ago
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4 atoms

Explanation:

On the product side, we expect to find 4 atoms of the product.

    An atom is the smallest indivisible particle that takes part in a chemical reaction.

    An element is a distinct substance that cannot be split-up into simpler substances. Such substances consist of only one kind of atom.

    In this reaction we have:

       2 elements:             Mg                O

on the reactant side:

   We have two moles of Mg:   2 atoms of Mg

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                             total atoms:    4 atoms

According to the law of conservation of matter "in a chemical reaction, matter is neither created nor destroyed".

We expect to find 4 atoms of products which is MgO on the product side.

              2Mg + O₂ →  2MgO + heat

Learn more:

Conservation of matter brainly.com/question/2190120

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