Question

What’s the velocity of the rocket? Use V=square root of 2KE/MA rocket with a mass of 10,000 kilograms is propelled upward with 8,000,000 joules of kinetic energy. The velocity of the rocket is ______meters/second.

Answer 1

v = sqrt(2K/m)
v = sqrt(2 * 8 * 10^6 / (10^4))
v = 40 m/s

Velocity of rocket is 40 m/s

Answer 2

Hello!

What’s the velocity of the rocket? Use V=square root of 2KE/M A rocket with a mass of 10,000 kilograms is propelled upward with 8,000,000 joules of kinetic energy. The velocity of the rocket is ______meters/second.

Data:

KE (Kinetic Energy) =  8000000 Joules

m (mass) = 10000 Kg  

v (speed) = ? (m/s)  

Formula:

$v=\sqrt{\dfrac{2KE}{m}}$

Solving:

$v=\sqrt{\dfrac{2KE}{m}}$

$v=\sqrt{\dfrac{2*8000000}{10000}}$

$v = \sqrt{ \dfrac{1600\diagup\!\!\!\!0\diagup\!\!\!\!0\diagup\!\!\!\!0\diagup\!\!\!\!0}{1\diagup\!\!\!\!0\diagup\!\!\!\!0\diagup\!\!\!\!0\diagup\!\!\!\!0} }$

$v = \sqrt{1600}$

$\boxed{\boxed{v = 40\:m/s}}\end{array}}\qquad\quad\checkmark$

Another way to do:

Formula:

$K_{E} = \dfrac{1}{2}*m*v^2$

Solving:

$K_{E} = \dfrac{1}{2}*m*v^2$

$8000000 = \dfrac{1}{2}*10000*v^2$

$8000000*2 = 1*10000*v^2$

$16000000 = 10000\:v^2$

$10000\:v^2 = 16000000$

$v^2 = \dfrac{1600\diagup\!\!\!\!0\diagup\!\!\!\!0\diagup\!\!\!\!0\diagup\!\!\!\!0}{1\diagup\!\!\!\!0\diagup\!\!\!\!0\diagup\!\!\!\!0\diagup\!\!\!\!0}$

$v^2 = 1600$

$v = \sqrt{1600}$

$\boxed{\boxed{v = 40\:m/s}}\end{array}}\qquad\quad\checkmark$

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I Hope this helps, greetings ... Dexteright02! =)