Question

A man runs with a kinetic energy of 550.8 J. if he has a mass of 85 kg, what is his speed?

Answer 1

`3.6(m)/(s)`

Step-by-step explanation:

In physics, the kinetic energy of a body is that energy it possesses due to its movement and is defined by the expression

`E_(k) =(m*v^(2) )/(2) \\\\`

where E_{k} is the kinetic energy, m is the mass of the object and v is its speed.

also
`1J=kg*(m^(2) )/(s^(2) ) \\\\`

Now we have to replace the known values ​​and isolate the the speed(v)

`550.8J=(58kg *v^(2) )/(2) \\2*550.8=58kg*v^(2) \\\\v^(2) =(1101.6 J)/(58 kg)`

`v=\sqrt{12.96 (m^(2) )/(s^(2) ) } \\v=3.6 (m)/(s)\\`

Have a great day.