Answer:
2.82843 m/s
Step-by-step explanation:
You need to use the equation:
[tex]E_{k} =mV^2[/tex]
Where, [tex]E_{k}[/tex] is the kinetic energy, m is the mass, and V is the velocity.
Then you plug in your known values and solve for the velocity:
[tex]E_{k}=mV^2\\32J=4kgV^2\\8=V^2\\V=\sqrt{8} \\V=2.82843[/tex]
As expected for velocity, the units work out to be m/s
Explanation:
Energy in joules are in the units of [tex]\frac{kgm^2}{s^2}[/tex]
So you divide joules by mass, in the units of kg to get [tex]\frac{m^2}{s^2}[/tex]
Finally, taking the square root you are left with [tex]\frac{m}{s}[/tex]
