Question

a space ship is traveling through space. suddenly, its speed increases. what can you say about the kinetic energy of the spaceship? the kinetic energy remains the same because speed and kinetic energy are not related. the kinetic energy increases as its speed increases. there is no way to know what happens to the kinetic energy. the kinetic energy decreases as it is converted to speed.

Explanation:

Kinetic energy (KE) is given by the formula $KE = \frac{1}{2}mv^2$, where $m$ is mass and $v$ is speed. The mass of the spaceship remains constant (assuming no mass is added or removed). When the speed ($v$) increases, since $KE$ is proportional to the square of the speed, the kinetic energy will increase. So we analyze each option:

• First option: Incorrect, as speed and KE are related by $KE = \frac{1}{2}mv^2$.
• Second option: Correct, because as speed increases (with mass constant), KE (which depends on $v^2$) increases.
• Third option: Incorrect, we can determine the change in KE using the formula.
• Fourth option: Incorrect, KE is not "converted to speed"; rather, an increase in speed leads to an increase in KE.

Answer:

B. The Kinetic Energy increases as its speed increases.