How Do You Calculate Average Frictional Force?

AI Thread Summary
To calculate the average frictional force acting on a 0.5 kg block sliding to rest from an initial velocity of 0.2 m/s over a distance of 0.7 m, one must first determine the deceleration. The average velocity formula is not effective for this calculation; instead, using the kinematic equation Vf² = Vi² + 2a*x can help find the acceleration. The negative acceleration can then be used to calculate the net force, which equals mass times acceleration. The average frictional force is equal to this net force, which is derived from the block's deceleration. Understanding these relationships is crucial for solving the problem effectively.
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Homework Statement


A 0.5 kg block is sliding across a table top with an inital velocity of 0.2 m/s. It slides to rest in a distance of 0.7m. Find the average friction force that retracted its motion.

m=0.5kg
vi=0.2m/s
vf=0
d=0.7m
ff=?

Homework Equations


vavg= vf-vi, then d/vavg= t, then a=vavg/t, then fnet=m*a, bleh that's all i can really think to do now :S


The Attempt at a Solution


vavg= 0-0.2= -0.2
t=d/vavg= .7/-.2= -3.5sec
a= -0.2/-3.5=0.057
fnet= 0.5*0.057=0.0287

:S i have no ide ahow to find average frictional force from this :S
 
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losthelp said:

Homework Statement


A 0.5 kg block is sliding across a table top with an inital velocity of 0.2 m/s. It slides to rest in a distance of 0.7m. Find the average friction force that retracted its motion.

m=0.5kg
vi=0.2m/s
vf=0
d=0.7m
ff=?

Homework Equations


vavg= vf-vi, then d/vavg= t, then a=vavg/t, then fnet=m*a, bleh that's all i can really think to do now :S


The Attempt at a Solution


vavg= 0-0.2= -0.2
t=d/vavg= .7/-.2= -3.5sec
a= -0.2/-3.5=0.057
fnet= 0.5*0.057=0.0287

:S i have no ide ahow to find average frictional force from this :S

To figure the force you need to figure the deceleration. But you won't find it by using the Average Velocity.

One relationship you can exploit is the Vf2 =Vi2 +2a*x
 
but what would that help me get :S
 
losthelp said:
but what would that help me get :S

You'd think if you had the negative acceleration you might be able to figure the Force that was retarding the block wouldn't you?
 
LowlyPion said:
You'd think if you had the negative acceleration you might be able to figure the Force that was retarding the block wouldn't you?

i probalay would if i had any idea what i was doing. :(
thanks anyways.
 
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