Solving Gloria's Ski Slope Speed

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AI Thread Summary
To determine Gloria's speed after skiing down a frictionless slope at a 30-degree angle for 10 seconds, the gravitational force acting on her must be resolved into components. The force acting down the slope can be calculated using F = ma, where the acceleration is derived from the gravitational component along the slope. After establishing the acceleration, the final velocity can be found using the equation vf = at + vi, with initial velocity (vi) being zero. The discussion emphasizes the importance of resolving forces correctly to apply the equations of motion effectively. Understanding these principles will lead to calculating Gloria's speed accurately.
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Homework Help!

Homework Statement


Gloria, who has mass 60. kg, is skiing on the famous frictionless ski slopes. The slope is making an angle of 30o with the horizontal. How fast, in m/s, will Gloria be going after 10 seconds on the slope?



Homework Equations


d = v x t vavg = ½ (vf + vi) vf = at + vi
a = (vf - vi) / t d = vi t+ ½ at 2 vf2 = vi2 + 2ad
d = (vf2 - vi2)/2a
F = ma
Elevator Problems: Fnet = Fapplied + Fgravity
Force at an angle and skier problems: SOHCAHTOA
g = acceleration due to gravity = -10 m/s2;


The Attempt at a Solution


I Identified:

Mass= 60
Time = 10 seconds
Angle = 30 degrees

Then here's my attempt:

Fapplied = cos(60) = Fapplied/600N

Fapplied = 300N

Now what?

Please Help ASAP!
 
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Glorias going down a slope, so you'll need to know the component of her weight that is actually acting on her, once you've resolved this component, you can treat it as linear system so your equations of motion become valid. How exactly then would you go about getting the velocity? You know the time . . .
 
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