Solving Gloria's Ski Slope Speed

In summary, the problem is about Gloria skiing on a frictionless slope with a 30 degree angle to the horizontal. She has a mass of 60 kg and after 10 seconds, her velocity is being calculated using the equations of motion. The force applied is determined to be 300N and the component of her weight is resolved to be used in the equations. The velocity can then be calculated using the known time and equations of motion.
  • #1
NJCarter15
6
0
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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  • #2
Anyone Out There To Help!
 
  • #3
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 . . .
 

1. How do you calculate Gloria's speed on the ski slope?

To calculate Gloria's speed on the ski slope, we need to first measure the distance she covered and the time it took her to cover that distance. Then, we can use the formula speed = distance/time to calculate her speed in meters per second (m/s) or miles per hour (mph).

2. What factors can affect Gloria's speed on the ski slope?

There are several factors that can affect Gloria's speed on the ski slope, such as the steepness of the slope, the conditions of the snow, her technique, and any obstacles or turns on the slope.

3. How can Gloria's speed on the ski slope be improved?

Gloria's speed on the ski slope can be improved by practicing and improving her skiing technique, choosing a smoother and less steep slope, and ensuring that her equipment (skis, boots, etc.) is in good condition.

4. Is it important to calculate Gloria's speed on the ski slope?

Calculating Gloria's speed on the ski slope can be important for several reasons. It can help her track her progress and improvement, identify any areas for improvement in her technique, and ensure that she is skiing at a safe and comfortable speed.

5. Can Gloria's speed on the ski slope be compared to others?

Gloria's speed on the ski slope can be compared to others, but it may not be a fair comparison. Factors such as age, experience, and equipment can all affect a person's speed on the slope. It is important to focus on improving one's own speed rather than comparing it to others.

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