Finding speed of a object on slope

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SUMMARY

The discussion focuses on calculating the speed of a skier descending a slope with a mass of 42.5 kg, an incline of 42.0 degrees, and a coefficient of kinetic friction of 0.180. The net force acting on the skier is derived from the maximum friction force, calculated as 56.8 N, leading to an acceleration of 1.33 m/s². After 4.56 seconds, the skier's speed is determined to be 6.06 m/s using the equation V = Vo + a*t.

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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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