Finding speed of a object on slope

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A 42.5 kg skier descends a 42-degree slope with a coefficient of kinetic friction of 0.180. The normal force is calculated using mg*cos(42), resulting in approximately 315.8 N. The maximum frictional force is determined to be 56.8 N, which is not the net force acting on the skier. The net force is calculated using fnet=ma, leading to an acceleration of 1.33 m/s², and after 4.56 seconds, the skier reaches a speed of 6.06 m/s. The discussion highlights the importance of correctly identifying the forces acting on the skier, particularly the distinction between friction and net force.
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Homework Statement



A 42.5kg person is going down a hill sloped at 42.0 degrees.

The coefficient of kinetic friction between the snow and skis is 0.180.

How fast is the skier going 4.56 seconds after starting from rest?



Homework Equations



ffkmax=coefficient of kinetic friction*Normal Force

fnet=mass*a

mg*cos(42)

mg*sin(42)


The Attempt at a Solution



mg=425

mg*cos(42)=315.8

Fn=mg*cos

ffkmax=(.18)(315.8)=56.8

ffkmax=netforce (no idea from this point on)

fnet=ma 56.8/m=a 56.8N/42.5kg= 1.33ms/^2

V=Vo+a*t

V=(0)+(1.33)(4.56)=6.06m/s
 
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thewestbrew said:

Homework Statement



A 42.5kg person is going down a hill sloped at 42.0 degrees.

The coefficient of kinetic friction between the snow and skis is 0.180.

How fast is the skier going 4.56 seconds after starting from rest?

Homework Equations



ffkmax=coefficient of kinetic friction*Normal Force

fnet=mass*a

mg*cos(42)

mg*sin(42)

The Attempt at a Solution



mg=425

mg*cos(42)=315.8

Fn=mg*cos

ffkmax=(.18)(315.8)=56.8

ffkmax=netforce (no idea from this point on)

fnet=ma 56.8/m=a 56.8N/42.5kg= 1.33ms/^2

V=Vo+a*t

V=(0)+(1.33)(4.56)=6.06m/s

What are the forces acting on the skier? What are the directions of these forces?

You seem to be saying that the friction force is the net force that is accelerating the skier down the hill!

AM
 
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