Question

what happens to the kinetic energy of a moving object when its mass is doubled? the ke stays the same. the ke is doubled. the ke triples. the ke is halved.

Explanation:

Step1: Recall Kinetic Energy Formula

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

Step2: Analyze Effect of Doubling Mass

Let the initial mass be $m_1 = m$ and initial KE be $KE_1=\frac{1}{2}mv^2$. If mass is doubled, new mass $m_2 = 2m$, and velocity remains the same (since the problem doesn't state a change in velocity). The new KE, $KE_2=\frac{1}{2}(2m)v^2$.

Step3: Compare $KE_2$ and $KE_1$

Simplify $KE_2$: $KE_2 = 2\times(\frac{1}{2}mv^2)=2\times KE_1$. So when mass is doubled (velocity constant), KE is doubled.

Answer:

The KE is doubled. (Corresponding option: The KE is doubled.)