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

Given:

Boat A and Boat B have the same mass.Boat A’s velocity is three times greater than that of Boat B.

To Find:

Compared to the kinetic energy of Boat B, the kinetic energy of Boat A.

Solution:

Boat B

Mass of boat B = M    (kg)

Let us take speed of boat B = V

$\mathbf{\textrm{Kinetic energy of boat B}\ = E_{B}=\dfrac{1}{2}\times M\times V^{2}}$          ...1)

Boat A

Mass of boat A = M    (kg)

Speed of boat A is three times greater than that of Boat B, Mean:

Speed of boat A = 3 V + V

Speed of boat A = 4 V

$\mathbf{\textrm{Kinetic energy of boat A}\ = E_{A}=\dfrac{1}{2}\times M\times (4V)^{2}}$          

On simplify above equation:

$\mathbf{\textrm{Kinetic energy of boat A}\ = E_{A}=16\times \dfrac{1}{2}\times M\times V^{2}}$       ...2)

On comparing equation 1) and equation 2), we get:

$\mathbf{\textrm{Kinetic energy of boat A}\ =16\times (\dfrac{1}{2}\times M\times V^{2})}$

$\mathbf{\textrm{Kinetic energy of boat A}\ =16\times (Kinetic\ energy\ of\ boat\ B)}$

From above it is clear that kinetic energy of boat A is 16 times kinetic energy of boat B.

Answer 2

Answer:

D, nine times as much

Explanation:

Correct on edge2021