Question

moving objects, such as automobiles, have kinetic energy (ke), which is measured in joules. this energy can be calculated using the following: $ke = \frac{1}{2}mv^{2}$. a person drives an automobile with a mass of 450 kilograms at a velocity of 26 meters per second. the driver accelerates to a velocity of 30 meters per second. the difference in the automobiles kinetic energy between the two velocities is joules. you may use the calculator.

Explanation:

Step1: Calcular la energía cinética inicial

Usamos la fórmula $KE=\frac{1}{2}mv^{2}$. Dado que $m = 450$ kg y $v_1=26$ m/s, entonces $KE_1=\frac{1}{2}\times450\times26^{2}=\frac{450\times676}{2}=450\times338 = 152100$ J.

Step2: Calcular la energía cinética final

Ahora, con $v_2 = 30$ m/s, $KE_2=\frac{1}{2}\times450\times30^{2}=\frac{450\times900}{2}=450\times450=202500$ J.

Step3: Calcular la diferencia de energía cinética

$\Delta KE=KE_2 - KE_1=202500 - 152100 = 50400$ J.

Answer:

50400