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Klio2033 [76]
2 years ago
5

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 ener

gy of Boat B, the kinetic energy of Boat A is
Social Studies
2 answers:
LekaFEV [45]2 years ago
7 0

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=\dfrac{1}{2}mv_A^2=\dfrac{1}{2}m(3x)^2=9(\dfrac{1}{2}mx^2)

Kinetic energy of boat B is :

K_B=\dfrac{1}{2}mv_B^2=\dfrac{1}{2}m(x)^2

K_B=(\dfrac{1}{2}mx^2)

K_A=9\times K_B

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

Zinaida [17]2 years ago
5 0

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.

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