Question

Boat A and Boat B have the same mass. Boat A’s 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

Answer 1

The kinetic energy of an object is half its mass times velocity squared. Thus, if the boats have the same mass, but boat A has three times the velocity, boat A has 9 times the kinetic energy.

Answer 2

Step-by-step explanation:

Let m is the mass of both boats A and B. It is given that, Boat A’s velocity is three times greater than that of Boat B.

Let the velocity of boat B is x. So, the velocity of Boat A is 3 x. Kinetic energy of Boat A is:

`K_A=(1)/(2)mv_A^2=(1)/(2)m(3x)^2=9((1)/(2)mx^2)`

Kinetic energy of boat B is :

`K_B=(1)/(2)mv_B^2=(1)/(2)m(x)^2`

`K_B=((1)/(2)mx^2)`

`K_A=9* K_B`

So, the kinetic energy of boat A is 9 times the kinetic energy of boat B. Hence, this is the required solution.