Question

as the mass of a car increases, its kinetic energy increases. as the mass of a car increases, its kinetic energy decreases. as the mass of a car decreases, its kinetic energy increases. there is no clear relationship between mass and kinetic energy. how would you describe the relationship between the mass of a car and its kinetic energy?

Explanation:

Step1: Analyze the kinetic energy formula

The formula for kinetic energy is \(K = \frac{1}{2}mv^{2}\), where \(K\) is kinetic energy, \(m\) is mass, and \(v\) is velocity. If we assume the velocity \(v\) is constant (since the problem is about the relationship between mass and kinetic energy, not velocity), then \(K\) is directly proportional to \(m\) (\(K\propto m\) when \(v\) is constant). As mass \(m\) increases, kinetic energy \(K\) increases.

Step2: Check the data points trend

Looking at the scatter - plot (though not fully detailed, but from the general principle). If we consider the positive - slope relationship in the context of the formula \(K=\frac{1}{2}mv^{2}\) (with \(v\) constant), when mass \(m\) goes up, kinetic energy \(K\) goes up. For example, if we have two cars with velocities \(v_1 = v_2=v\) (constant), and masses \(m_1\lt m_2\), then \(K_1=\frac{1}{2}m_1v^{2}\lt K_2=\frac{1}{2}m_2v^{2}\)

Answer:

As the mass of a car increases, its kinetic energy increases.