car a has a mass of 1,000 kg and is traveling 60 km/hr. car b has a mass of 2,000 kg and is traveling 30…

Explanation:

Step1: Recall kinetic - energy formula

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

Step2: Calculate kinetic energy of Car A

For Car A, $m_A=1000\ kg$ and $v_A = 60\ km/h$. First, convert the velocity to SI units. But since we are comparing, we can keep it in $km/h$ for simplicity. $K_A=\frac{1}{2}m_Av_A^{2}=\frac{1}{2}\times1000\times60^{2}= \frac{1}{2}\times1000\times3600 = 1800000$.

Step3: Calculate kinetic energy of Car B

For Car B, $m_B = 2000\ kg$ and $v_B=30\ km/h$. Then $K_B=\frac{1}{2}m_Bv_B^{2}=\frac{1}{2}\times2000\times30^{2}=\frac{1}{2}\times2000\times900 = 900000$.

Step4: Compare kinetic energies

$\frac{K_A}{K_B}=\frac{1800000}{900000}=2$. So, $K_A = 2K_B$.

Answer:

C. The kinetic energy of Car A is twice as much as Car B.