# Need the exercise portion Hit the Ski Slopes EXAMPLE 5.8 GOAL Combine conservation of mechanical energy...

###### Question:   Need the exercise portion

Hit the Ski Slopes EXAMPLE 5.8 GOAL Combine conservation of mechanical energy with the work-energy theorem involving friction on a horizontal surface. h = 20.0 m у A skier starts PROBLEM from rest at the top of a frictionless incline of height (В С) 20.0 m, as in the figure. At the bottom of the incline, the skier The skier slides down the slope and onto a level surface, stopping after encounters a horizontal traveling a distance d from the bottom of the hill. surface where the coefficient of kinetic friction between skis and snow is 0.210. (a) Find the skier's speed at the bottom. (b) How far does the skier travel on the horizontal surface before coming to rest? Neglect air resistance. STRATEGY Going down the frictionless incline is physically no different than going down a frictionless slide and is handled the same way, using conservation of mechanical energy to find the speed vB at the bottom. On the flat, rough surface, use the work-energy theorem with Wnc = Wfric = -fkd, where f is the magnitude of the force of friction and d is the distance traveled on the horizontal surface before coming to rest SOLUTION (A) Find the skier's speed at the bottom. Write down the equation for = 19.8 m/s Ув 3D V 2gh V2(9.80 m/s2)(20.0 m) conservation of energy, insert the values vA 0 and yB = 0, solve for vB and substitute values for g and yB as the skier moves from the top, point , to the bottom, point
(B) Find the distance traveled on the horizontal, rough surface. Apply the work-energy theorem as the B Wnet fd = AKE =mv- ^mvB2 skier moves from to Substitute vc = 0 and -mgd mB2 fk Hkn = Hkmg. Solve for d (19.8 m/s)2 2(0.210)(9.8 m/s2) VB2 = 95.2 m d = 2Шкg LEARN MORE REMARKS Substituting the symbolic expression vB = V2gh into the equation for the distance d shows that d is linearly proportional to h: Doubling the height doubles the distance traveled. QUESTION Give two reasons why skiers typically assume a crouching position when going down a slope. (Select all that apply.) Crouching decreases the skier's inertia. In the crouching position there is less air resistance. The acceleration of gravity g is increased by crouching Crouching decreases the mass of the skier. Crouching lowers the skier's center of mass, making it easier to balance PRACTICE IT Use the worked example above to help you solve this problem. A skier starts from rest at the top of a frictionless incline of height 20.0 m, as shown in the figure. At the bottom of the incline, the skier encounters a horizontal surface where the coefficient of kinetic friction between skis and snow is 0.222. Neglect air resistance. (a) Find the skier's speed at the bottom. m/s 19.8 (b) How far does the skier travel on the horizontal surface before coming to rest? 91.0
EXERCISE HINTS: GETTING STARTED I'M STUCK! Use the values from PRACTICE IT to help you work this exercise. Find the horizontal distance the skier travels before coming to rest if the incline also has a coefficient of kinetic friction equal to 0.222. Assume that 0 20.0° 36.0 What is the initial energy of the skier? How much work is done as the skier slides down the incline? How much work is done as the skier slides to a stop on the horizontal surface? In other words, write expressions for these three amounts of energy, then relate them to each other. m Need Help? Talk to a Tutor

#### Similar Solved Questions

##### What universal set of communication services is provided by TCP/IP
data communication...
##### Find the induced emf when the current in a 49.3 mH inductor increases from 0 to...
Find the induced emf when the current in a 49.3 mH inductor increases from 0 to 526 mA in 16.0 ms ....
##### 8. Wal Mart lowered the prices of toys below cost. This forced many toy stores like...
8. Wal Mart lowered the prices of toys below cost. This forced many toy stores like FAO Scwartz and Toys R Us to go out of business. The ECONOMIC term for what they did is...
##### Efficiency experts study the processes used to manufacture items in order to make them as efficient...
Efficiency experts study the processes used to manufacture items in order to make them as efficient as possible. One of the steps used to manufacture a metal clamp involves the drilling of three holes. In a sample of 68 clamps, the mean time to complete this step was 54.5 seconds. Assume that the po...
##### Week 5 Homework Assignment-Excel FILE HOME INSERT PAGE LAYOUT FORMULAS DATA REVIEW VIEW Calibri - 11...
Week 5 Homework Assignment-Excel FILE HOME INSERT PAGE LAYOUT FORMULAS DATA REVIEW VIEW Calibri - 11 A A Wrap Text Auto Fil- General Paste BIU - A Merge & Center E Conditional Format as Cell Formatting Insert Delete Formar Clear- Table Styles Clipboard Font Alignment Number Styles Cells K11 A D ...
##### Help 9 - You take a trip. You go online and look up some information about...
help 9 - You take a trip. You go online and look up some information about the airplane. You find that the airplane has a loaded mass of 18,500 kg and has each wing has an area of 43 m? What must the pressure difference on the wing be during flight for it to stay airborne?...
##### How to write the code correctly in python
so far, I just have figured this and I'm not too sure how to to do the next steps;import cmatha=5b=2a=float(input('Enter the real part of the complex number: '))b=float(input('Enter the imaginary part of the complex number: '))c= complex(a,b);print(c)...
##### Considering the figure shown, the normal strain on side A-B is: 116 +187 B' C' B...
Considering the figure shown, the normal strain on side A-B is: 116 +187 B' C' B С 13 163 А D х x 44- -0.085 0.085 0.075 -0.075...
##### 9. Write out the mechanism for: MACN > Sw2 10. a) Write out 6 completely different...
9. Write out the mechanism for: MACN > Sw2 10. a) Write out 6 completely different reactions of 3-hexanone (reagent, product). b) Write out 3 preparations of 3-phenyl-1-propanol, a different starting material for each one. In some preps you just have to change the functional groups in other props...
##### Calculate the following: Gasoline prices decreases by 10%, which increases quantity demanded by 5% and decreases...
Calculate the following: Gasoline prices decreases by 10%, which increases quantity demanded by 5% and decreases the quantity supplied by 3%. Whereas the quantity demanded for vehicles increases by 20% as a result of the gas prices. What is the cross-price elasticity of vehicles with respect to the ...
##### Please explain how me and a friend are stumped working on this even using others answers...
please explain how me and a friend are stumped working on this even using others answers as a reference here. The following information is available for Lock-Tite Company, which produces special order security products and uses a job order costing system April 30 May 31 Part 1 of 2 32,000 9.200 6...
##### Detailed proof please. . 1. Determine whether the following statements are true or false. If one...
Detailed proof please. . 1. Determine whether the following statements are true or false. If one is true, provide a proof. If one is false, provide a counterexample (proving that it is in fact a counterexample). IF f is a positive continuous function on [1,00) and (f(x))2dx converges, THEN Sº f...
##### A double-decker coach traveling 180 km uses 80 litres of fuel. If there are 67 passengers...
A double-decker coach traveling 180 km uses 80 litres of fuel. If there are 67 passengers on the bus (including the driver) what is the kWh/100p-km for the journey? (Note: fuel has an energy content of 11 kWh/L)...
##### How do you solve the equation x^2 - 4x = 4?
How do you solve the equation x^2 - 4x = 4?...
##### Blank  1 AV US Blank  2 US Question 2 (6 points) Saved In a...
Blank  1 AV US Blank  2 US Question 2 (6 points) Saved In a single year, the US can produce 30 soybeans or 150 avocados. Mexico can produce 15 soybear 60 avocados. READ THE QUESTIONS CAREFULLY 1) What is the opportunity cost of producing 1 soybean in terms of avocados for the US? (Only put numbers...