Projectile problem: with coefficient of kinetic friction?

[paxian]

Homework Statement

Julia is delivering newspapers. Suppose she is driving at 15 m/s along a straight road and wants to drop a paper out the window from a height of 1.00m so it slides along the shoulder and comes to rest in the customer's driveway. At what horizontal distance before the driveway should she drop the paper? The coefficient of kinetic friction between the newspaper and the ground is 0.40. Ignore air resistance and assume no bouncing and rolling.

Homework Equations

delta y = Viy* delta t + 1/2 ay* delta t^2
delta x= Vix * detal t

The Attempt at a Solution

delta y = Viy* delta t + 1/2 ay* delta t^2
-1m=0 + 1/2(-9.8m/s^2)*delta t^2
==> delta t = sq. root of (-2* -1m/-9.8m/s^2) = 0.45s
delta x= Vix * detal t=15m/s * 0.45s = 6.78m

I am not sure what to do with the coefficient of kinetic friction between the newspaper and the ground? Please help! Or is it a trick to throw me off... the answer is just simply 6.78 m?

 

[ehild]

There are two stages of the motion. First the newspaper is a projectile, with horizontal initial velocity. In the second stage, it slides on the ground. Find the distance traveled in the horizontal direction as a projectile and then the distance traveled to full stop.

ehild

 

[paxian]

There are two stages of the motion. First the newspaper is a projectile, with horizontal initial velocity. In the second stage, it slides on the ground. Find the distance traveled in the horizontal direction as a projectile and then the distance traveled to full stop.

ehild

Thank you so much.. NOw it makes sense why they thro that coefficient of K in there. soFriction the only force working against the newspaper at that phase?!

net force=ma = - Friction force = ma
- (coefficient k * m* g) = ma
a = -3.92
vf^2 = vi^2 + 2a delta x
x= 28.7m?

the distance from second stage is kinda high, it took 28.7m to reach full stop?
that's kinda crazy! Did I do it right? Thanks in advance!

 

[ehild]

That 28.7 m is correct.
I think that the newspaper will not slide that long in reality, but that coefficient of friction is rather low for a rough surface as the road, and air resistance also acts on the newspaper. ehild

 

[paxian]

That 28.7 m is correct.
I think that the newspaper will not slide that long in reality, but that coefficient of friction is rather low for a rough surface as the road, and air resistance also acts on the newspaper.


ehild

Thanks so much! You're so helpful! Have a wonderful day :)

 

[ehild]

Thanks so much! You're so helpful! Have a wonderful day :)

Thank you

ehild