Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

complete the statements for a moving object. if the objects mass decrea…

Question

complete the statements for a moving object. if the objects mass decreases while its speed remains the same, its kinetic energy. if the objects speed decreases while its mass remains the same, its kinetic energy. if the objects mass and speed both decrease, its 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 speed.

Step2: Analyze first statement

If $v$ is constant and $m$ decreases, since $K=\frac{1}{2}mv^{2}$, $K$ decreases as $m$ is directly proportional to $K$ when $v$ is fixed.

Step3: Analyze second statement

If $m$ is constant and $v$ decreases, since $K = \frac{1}{2}mv^{2}$, $K$ decreases as $K$ is proportional to $v^{2}$.

Step4: Analyze third statement

If both $m$ and $v$ decrease, from $K=\frac{1}{2}mv^{2}$, the value of $K$ will decrease.

Answer:

  • First blank: decreases
  • Second blank: decreases
  • Third blank: decreases