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kykrilka [37]
3 years ago
13

A car accelerates uniformly from rest to a speed of 7.6 m/s in 4.6 s. How far does the car travel in that time?

Physics
1 answer:
uysha [10]3 years ago
4 0

Answer:

The car will travel a distance of 17.45 meters.

Explanation:

Given:

Initial velocity (V_i) = 0

Final velocity (V_f) = 7.6 m/s

Time taken = 4.6 s

Acceleration = (Final velocity - Initial Velocity )/time

a=\frac{(V_f-Vi)}{t}= \frac{7.6-0}{4.6}=1.65\ ms^-2

We have to calculate total distance traveled by the car.

Let the distance traveled be 'd'

Equation of motion:

d=V_i(t)+\frac{at^2}{2}

Plugging the values.

⇒d=V_i(t)+\frac{at^2}{2}

⇒d=0+\frac{1.65*(4.6)^2}{2}

⇒d=17.45\ m

The car will travel a distance of 17.45 meters for the above case.

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Answer:

The part that completes the nuclear equation is:

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Explanation:

<h2>A) Preliminar explanation</h2>

The <em>nuclear equation</em> represents a nuclear reaction: the change of the nucleus of an atom.

The given equation represents an actinium atom releasing an alpha particle.

This is the meaning of each part of the equation:

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  • ^4_2He is the symbol of the alpha particle. It is an atom of helium
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<h2>B) Solution</h2>

To <em>complete the nuclear equation </em>you must do two balances: mass number balance and atomic number balance.

<u>i) Mass number balance</u>

  • 225 = A + 4 ⇒ A = 225 - 4 = 221

<u>ii) Atomic number balance</u>

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Therefore, the mass number of the unknown atom is 221, and the atomic number is 87.

From a periodic table, the element with atomic number 87 is francium, Fr.

Now, you have the chemical symbol, the atomic number, and the mass number of the unknown atom, which lets you to write the atom that completes the <em>nuclear equation</em>.

           ^{221}_{87}Fr

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