A student rides her bicycle down a hill. Together, she and the bicycle have a mass of 56 kilograms. She is moving at 11 meters per second. What is her kinetic energy?(1 point) Responses 17,248 J 17,248 J 3,388 J 3,388 J 13,552 J 13,552 J 6,776 J 6,776 J

1 answer

The formula for kinetic energy (KE) is given by:

\[ KE = \frac{1}{2} m v^2 \]

where \( m \) is the mass in kilograms and \( v \) is the velocity in meters per second.

Given:

  • Mass \( m = 56 \) kg
  • Velocity \( v = 11 \) m/s

Now, let's plug the values into the formula:

\[ KE = \frac{1}{2} \times 56 , \text{kg} \times (11 , \text{m/s})^2 \]

Calculating \( (11 , \text{m/s})^2 \):

\[ (11 , \text{m/s})^2 = 121 , \text{m}^2/\text{s}^2 \]

Now substituting back:

\[ KE = \frac{1}{2} \times 56 , \text{kg} \times 121 , \text{m}^2/\text{s}^2 \]

\[ KE = 28 \times 121 , \text{kg} \cdot \text{m}^2/\text{s}^2 \]

\[ KE = 3388 , \text{J} \]

Thus, the kinetic energy is 3,388 J.