A car is traveling at a speed of 10m/s. A 0.5kg clump of mudis
stuck to the outside edge of the tire, which as a radius of0.2m.
What force is acting on the mud, keeping it from flyingoff?
A.) 250 N outward
B.) 250 N inward
C.) 25 N outward
D.) 25 N inward
E.) 40 N inward
Answer and explanation would be great. If you are not
sure,please do not answer.

Respuesta :

Answer:B

Explanation:

Given

speed of car [tex]v=10 m/s[/tex]

mass of clump [tex]m=0.5 kg[/tex]

Radius of car tire [tex]r=0.2 m[/tex]

Since the tire is rotating about axle so a centripetal force is acting constantly on each particle towards the center of tire.

Centripetal force is given by

[tex]F_c=\frac{mv^2}{r}[/tex]

where [tex]m=mass\ of\ element [/tex]

[tex]v=speed[/tex]

[tex]r=distance\ from\ center[/tex]

[tex]F_c=\frac{0.5\times 10^2}{0.2}[/tex]

[tex]F_c=250\ N[/tex] (inward)