Question

two cars, car a and car b, have equal mass. which car has the greater kinetic energy if both cars have the same velocity? car a has greater kinetic energy. car b has greater kinetic energy. both cars have equal kinetic energy.

Explanation:

Step1: Recall kinetic - energy formula

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

Step2: Analyze given conditions

Given that $m_A=m_B$ (equal mass) and $v_A = v_B$ (equal velocity).
Substitute into the formula: $K_A=\frac{1}{2}m_Av_A^{2}$ and $K_B=\frac{1}{2}m_Bv_B^{2}$. Since $m_A = m_B$ and $v_A=v_B$, then $K_A = K_B$.

Answer:

Both cars have equal kinetic energy.