Answer :
Ball b has eight times more kinetic energy than ball a, which has half its mass. The speed ratio is 4.
What exactly does kinetic energy mean?
Force must be applied to object in order to accelerate. To apply a force, we must work hard. Because energy has been transferred to the object, it will be moving at a new, constant speed once the operation is finished.
Given,
Two balls a and b
and the mass of ball an is half that of ball b..
Kinetic energy of ball a is eight times kinetic energy of ball b.
mₐ = [tex]\frac{1}{2} m_{b}[/tex]
KEₐ = 8 KE[tex]_{b}[/tex]
Kinetic energy is measured by,
KE = 1/2 mv²
KE ratios for both balls a and b are calculated,
∴ [tex]\frac{KE_{a} }{KE_{b} }[/tex] = [tex]\frac{1/2 m_{a} v_{a}^{2} }{1/2 m_{b} v_{b} ^{2} }[/tex]
[tex]\frac{8 KE_{b}}{KE_{b} }[/tex] = [tex]\frac{1/2 (1/2m_{b}) v_{a}^{2} }{1/2 m_{b} v_{b} ^{2} }[/tex]
16 = [tex]\frac{v_{a} ^{2} }{v_{b} ^{2} }[/tex]
[tex]\frac{v_{a} }{v_{b} }[/tex] = 4/1
To know more about kinetic energy, visit:
https://brainly.com/question/2302596
#SPJ4
