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

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3 votes
12 m/s is the answer
User Kebs
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3 votes

Answer:

12 m/s

Step-by-step 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) =(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 = (Kg*m^(2) )/(s^(2) )

Now, isolating and replacing


E_(k) =(m*v^(2) )/(2)\\(E_(k))/(m) =(v^(2) )/(2) \\v^(2) =(2*E_(k) )/(m)\\ v=\sqrt{(2*E_(k) )/(m)}\\\\ v=\sqrt{(2*792(kg*m^(2) )/(s^(2) )  )/(11 kg)} \\v=\sqrt{144 (m^(2) )/(s^(2) ) } \\v=12 (m)/(s)

v=12 m/s

Have a great day

User Vidstige
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6.7k points