boat a and boat b have the same mass. boat as velocity is three times greater than that of boat b. compared…

boat a and boat b have the same mass. boat as velocity is three times greater than that of boat b. compared to the kinetic energy of boat b, the kinetic energy of boat a is\none - third as much.\nthree times as much.\nsix times as much.\nnine times as much.

boat a and boat b have the same mass. boat as velocity is three times greater than that of boat b. compared to the kinetic energy of boat b, the kinetic energy of boat a is\none - third as much.\nthree times as much.\nsix times as much.\nnine times as much.

Answer

Explanation:

Step1: Recall kinetic - energy formula

The formula for kinetic energy is $K = \frac{1}{2}mv^{2}$, where $m$ is the mass and $v$ is the velocity. Let the mass of Boat A and Boat B be $m$, the velocity of Boat B be $v_{B}=v$, then the velocity of Boat A is $v_{A} = 3v$.

Step2: Calculate kinetic energy of Boat B

$K_{B}=\frac{1}{2}mv^{2}$

Step3: Calculate kinetic energy of Boat A

$K_{A}=\frac{1}{2}m(3v)^{2}=\frac{1}{2}m\times9v^{2}=9\times\frac{1}{2}mv^{2}$ Since $K_{B}=\frac{1}{2}mv^{2}$, we have $K_{A}=9K_{B}$

Answer:

nine times as much.