Question

What’s the velocity of an 11-kilogram object with 792 joules of kinetic energy? Use . 7 m/s

Answer 1

12 m/s is the answer

Answer 2

Answer:

12 m/s

Explanation:

Hello

Kinetic energy is the energy associated with bodies that are in motion,it depends on the mass and speed of the body and is given by

$E_{k} =\frac{m*v^{2} }{2}$

where m is the mass of the object , v is the velocity of the object and E is the kinetic energy

also

$1 joule = \frac{Kg*m^{2} }{s^{2} }$

Now, isolating and replacing

$E_{k} =\frac{m*v^{2} }{2}\\\frac{E_{k}}{m} =\frac{v^{2} }{2} \\v^{2} =\frac{2*E_{k} }{m}\\ v=\sqrt{\frac{2*E_{k} }{m}}\\\\ v=\sqrt{\frac{2*792\frac{kg*m^{2} }{s^{2} } }{11 kg}} \\v=\sqrt{144 \frac{m^{2} }{s^{2} } } \\v=12 \frac{m}{s}$

v=12 m/s

Have a great day