Solving Gloria's Ski Slope Speed

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SUMMARY

To determine Gloria's speed after skiing for 10 seconds on a frictionless slope inclined at 30 degrees, the key physics concepts involve resolving forces and applying kinematic equations. Given her mass of 60 kg and the acceleration due to gravity as -10 m/s², the net force acting on her can be calculated using F = ma. The component of gravitational force acting down the slope must be resolved, allowing for the calculation of acceleration and subsequently the final velocity using the equation vf = at + vi.

PREREQUISITES
  • Understanding of Newton's second law (F = ma)
  • Familiarity with kinematic equations for linear motion
  • Knowledge of trigonometric functions for resolving forces (SOHCAHTOA)
  • Basic understanding of gravitational acceleration (g = -10 m/s²)
NEXT STEPS
  • Calculate the gravitational force component acting down the slope using Fgravity = mg sin(θ)
  • Apply the kinematic equation vf = vi + at to find the final velocity
  • Explore the implications of frictionless surfaces in physics problems
  • Review examples of inclined plane problems in classical mechanics
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of motion on inclined planes, particularly in the context of real-world applications like skiing.

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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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