Answer:
1
Step-by-step explanation:
Hello!
Remember that kinetic energy is one that is produced by the speed of a body that has mass. The equation is as follows.
[tex]E=\frac{MV^2}{2}[/tex]
Where
E=kinetic energy
m=mass
V=speed
To solve this problem we must raise the equation for the kinetic energy of the sphere and the kinetic energy of the cylinder.
for cilinder
[tex]Ec=\frac{McVc^2}{2}[/tex]
for spherical shell
[tex]Es=\frac{MsVs^2}{2}[/tex]
as the problem indicates the kinetic energy is the same, so we can match the previous equations
[tex]\frac{MsVs^2}{2}=\frac{McVc^2}{2}[/tex]
[tex]{MsVs^2}={McVc^2}[/tex]
according to the problem the masses are equal Ms = Mc
[tex]Vs^2=Vc^2\\[/tex]
we apply square root on both sides of the equation
[tex]Vs=Vc[/tex]
[tex]\frac{Vs}{Vc} =1[/tex]
In conclusion, if two bodies, regardless of their shape, have the same mass and the same kinetic energy, the speed of the two bodies will be the same.
