177k views
3 votes
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.

User IamIronMAN
by
6.6k points

1 Answer

3 votes

Answer:B

Step-by-step explanation:

Given

speed of car
v=10 m/s

mass of clump
m=0.5 kg

Radius of car tire
r=0.2 m

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


F_c=(mv^2)/(r)

where
m=mass\ of\ element


v=speed


r=distance\ from\ center


F_c=(0.5* 10^2)/(0.2)


F_c=250\ N (inward)

User Brad Leach
by
6.6k points