Question

select the correct answer from each drop - down menu. complete the paragraph about kinetic energy. use $ke=\frac{1}{2}mv^{2}$. susan and hannah are each riding a swing. susan has a mass of 25 kilograms, and hannah has a mass of 30 kilograms. susans swing moves with a velocity of 10 meters/second, while hannahs swing moves with a velocity of 8.5 meters/second. susans kinetic energy is than hannahs because

Explanation:

Step1: Calculate Susan's kinetic energy

Use the formula $KE=\frac{1}{2}mv^{2}$. For Susan, $m = 25$ kg and $v=10$ m/s. So $KE_{Susan}=\frac{1}{2}\times25\times10^{2}=\frac{1}{2}\times25\times100 = 1250$ J.

Step2: Calculate Hannah's kinetic energy

For Hannah, $m = 30$ kg and $v = 8.5$ m/s. So $KE_{Hannah}=\frac{1}{2}\times30\times8.5^{2}=\frac{1}{2}\times30\times72.25=1083.75$ J.

Step3: Compare kinetic - energies

Since $1250>1083.75$, Susan's kinetic energy is greater because her velocity has a larger impact on the kinetic - energy formula (as kinetic energy is proportional to the square of the velocity) despite her having a smaller mass.

Answer:

Susan's kinetic energy is greater than Hannah's because her velocity has a larger impact on the kinetic - energy formula (as kinetic energy is proportional to the square of the velocity) despite her having a smaller mass.