Question

question 20 of 25 which dog has the most kinetic energy? a. a dog of mass 16 kg running with speed 5 m/s b. a dog of mass 10 kg running with speed 3 m/s c. a dog of mass 12 kg running with speed 6 m/s d. a dog of mass 14 kg running with speed 4 m/s

Explanation:

Step1: Recall kinetic energy formula

The formula for kinetic energy is $KE=\frac{1}{2}mv^{2}$, where $m$ is the mass and $v$ is the speed.

Step2: Calculate KE for option A

$KE_A=\frac{1}{2}\times16\times5^{2}=\frac{1}{2}\times16\times25 = 200$ J.

Step3: Calculate KE for option B

$KE_B=\frac{1}{2}\times10\times3^{2}=\frac{1}{2}\times10\times9 = 45$ J.

Step4: Calculate KE for option C

$KE_C=\frac{1}{2}\times12\times6^{2}=\frac{1}{2}\times12\times36= 216$ J.

Step5: Calculate KE for option D

$KE_D=\frac{1}{2}\times14\times4^{2}=\frac{1}{2}\times14\times16 = 112$ J.

Step6: Compare kinetic energies

Since $216>200 > 112>45$, $KE_C>KE_A>KE_D>KE_B$.

Answer:

C. A dog of mass 12 kg running with speed 6 m/s