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Which Best Approximates the Relationship Between the Change In Velocity and Change in Kinetic Energy. As the Release Velocity Doubles

Problemas

Which best approximates the relationship between the change In velocity and change in kinetic energy. As the release velocity doubles the kinetic energy of the car also doubles quadruples Increases by more than double but doesn't quadruple increases, but by less than twice as much decreases, becoming half as much

Roztwór

Adrián élite · Tutor durante 8 años
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Respuesta

Increases by more than double but doesn't quadruple

Explicación

## Step 1The kinetic energy of an object is given by the formula:### where is the mass of the object and is its velocity.## Step 2From the formula, we can see that the kinetic energy is proportional to the square of the velocity. This means that if the velocity of the object doubles, the kinetic energy will increase by a factor of four, or quadruple.## Step 3However, the problem states that the kinetic energy increases by more than double but doesn't quadruple. This suggests that the velocity of the car is not doubling, but rather increasing by a factor greater than two but less than four.