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A car moves 3 times as fast as another car. Compared to the slower car, the faster car has __ 9 times the kinetic energy 6 times the kinetic energy 3 times the kinetic energy 12 times the kinetic energy

Problemas

A car moves 3 times as fast as another car. Compared to the slower car, the faster car has __
9 times the kinetic energy
6 times the kinetic energy
3 times the kinetic energy
12 times the kinetic energy

A car moves 3 times as fast as another car. Compared to the slower car, the faster car has __ 9 times the kinetic energy 6 times the kinetic energy 3 times the kinetic energy 12 times the kinetic energy

Solución

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Silviaélite · Tutor durante 8 años
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The faster car has 9 times the kinetic energy of the slower car.

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## Step 1<br />The kinetic energy of an object is given by the formula:<br />### \( KE = \frac{1}{2}mv^2 \)<br />where \( m \) is the mass of the object and \( v \) is its velocity.<br /><br />## Step 2<br />If the velocity of the car is tripled, the kinetic energy will increase by a factor of \( 3^2 \), which is 9. This is because the velocity is squared in the formula for kinetic energy.<br /><br />## Step 3<br />Therefore, the faster car has 9 times the kinetic energy of the slower car.
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