In downhill speed skiing a skier is retarded by both the air drag force on the body and the kinetic frictional force on the skis. Supposethe slope angle is 0 = 42.0°, the snow is dry snow with a coefficient of kinetic friction Hk = 0.0410, the mass of the skier and equipmentis m = 88.0 kg, the cross-sectional area of the (tucked) skier is A = 1.7O m², the drag coefficient is C = 0.150, and the air density is 1.20kg/m3. (a) What is the terminal speed? (b) If a skier can vary C by a slight amount dC by adjusting, say, the hand positions, what is thecorresponding variation in the terminal speed? Give your answer in terms of the given values and dC (need derivative for given values).

In downhill speed skiing a skier is retarded by both the air drag force on the body and the kinetic frictional force on the skis. Suppose the slope angle is 0 = 42.0°, the snow is dry snow with a coefficient of kinetic friction µk = 0.0410, the mass of the skier and equipment is m = 88.0 kg, the cross-sectional area of the (tucked) skier is A = 1.70 m², the drag coefficient is C = 0.150, and the air density is 1.20 kg/m°. (a) What is the terminal speed? (b) If a skier can vary C by a slight amount dC by adjusting, say, the hand positions, what is the corresponding variation in the terminal speed? Give your answer in terms of the given values and dC (need derivative for given values).

In downhill speed skiing a skier is retarded by both the air drag force on the body and the kinetic frictional force on the skis. Suppose the slope angle is 0 = 42.0°, the snow is dry snow with a coefficient of kinetic friction µk = 0.0410, the mass of the skier and equipment is m = 88.0 kg, the cross-sectional area of the (tucked) skier is A = 1.70 m², the drag coefficient is C = 0.150, and the air density is 1.20 kg/m°. (a) What is the terminal speed? (b) If a skier can vary C by a slight amount dC by adjusting, say, the hand positions, what is the corresponding variation in the terminal speed? Give your answer in terms of the given values and dC (need derivative for given values).

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A 5 kg box rests on a tabletop. On one side, it compresses a spring with a stiffness of 1000 N/m by…

A: mass of box (m) = 5 kg spring constant (k) = 1000 N/m compression (d) = 1 cm = 0.01 cm

Q: At an accident scene on a level road, investigators measure a car's skid mark to be 110 m long. It…

Q: Two objects are placed on a surface, and each inclined at the same angle of 54.4 degrees with…

Q: It is autumn. You look outside a window and see a maple leaf falling face down, in a straight…

Q: A 595 g squirrel with a surface area of 925 cm2 falls from a 5.6-m tree to the ground. Estimate its…

A: The terminal velocity can be calculated using the equation for the force of drag, which is equal to…

Q: 1) Calculate the work done on the sled by the tension during this displacement of the sled. A) OJ B)…

A: as per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: In downhill speed skiing a skier is retarded by both the air drag force on the body and the kinetic…

A: Objects falling through a fluid at their maximal velocity are said to attain terminal velocity. The…

Q: A block of mass 4.55 kg is pushed up against a wall by a force P that makes an angle of 8 = 50.0°…

Q: A skier begins at the top of a 10.9-degree-inclined slope. The slope is 220 metres long, with a…

A: Given, θ= 10.9 ° The length of inclined slope, L= 220 m coefficient of friction of 0.0750

Q: Oceanographers use submerged sonar systems, towed by a cable from a ship, to map the ocean floor. In…

Q: A spring-loaded device imparts an initial vertical velocity of 49 m/s to a 0.10-kg ball. The drag…

A: Given information: The mass of the ball (m) = 0.10 kg The initial velocity of the ball (v0) = 49 m/s…

Q: he designer of a ski resort wishes to have a portion of a beginner's slope on which the…

Q: A spherical raindrop 2.9 mm in diameter falls through a vertical distance of 3800 m. Take the…

Q: An initially stationary box of sand is to be pulled across a floor by means of a cable in which the…

A: Maximum tension on the cable T=1080 N and coefficient of friction u=0.480. Let the cable pull the…

Q: A car is moving at 50 mph initially on the road, then the engine suddenly shut down and the car…

A: Given Data:- Initial speed of the car is v0=50 mph =50×1 mi1 h×1609 m1 mi×1 h60 min×1 min60 s…

Q: A 1480 kg pile driver is used to drive a steel I-beam into the ground. The pile driver falls 6.43 m…

Q: While coasting a level section of the track, the speed of a 750kg bobsled decreases from 35m/s to…

A: Given Data :mass of bobsled m = 750 kginitial speed u = 35 m/sfinal speed v = 30 m/sdistance…

Q: A skater starts from rest at the top of a frictionless hill that is inclined at 12⁰ with the…

A: Given : coefficient of friction between snow and skis, μ = 0.125 angle of inclination,…

Q: Kayaking is a great example of multiple drag forces. Where a person has to deal with currents in the…

A: Given: Velocity of water = 1.7 m/s2 in same direction as we want to rowArea of contact with water =…

Q: A pulley is attached to one end of a rough plank, which makes an angle of 34° with the horizontal. A…

A: Angle of inclination, θ=34° mass of the Box, mA mass of the bucket filled with water, mB=7.5 Kg…

Q: On a horizontal plane a block of mass m - 0.30 kg is placed and initially held at rest. To this…

A: Here, we aply Newton's second law by drawing free body diagrams of both the masses, to get the…

Q: a box slides down a ramp with an acceleration of 1.2m/s^2. if the coefficient of firction is 0.3…

Q: al speed of a sky diver is 103 km/h in the spread-eagle position and 348 km/h in the nosedive…

A: We know that the formula of the terminal velocity is given as vt= 2mgρACd vt is terminal velocity…

Q: At an accident scene on a level road, investigators measure a car's skid mark to be 93 m m long. It…

Q: The seed pods of maple trees, also known as "helicopter seeds," spin as they fall, generating a…

Q: At an accident scene on a level road, investigators measure a car’s skid mark to be 112 m long. It…

A: The coefficient of friction: The displacement of the car: As the car finally stops, its final speed…

Question

100%

In downhill speed skiing a skier is retarded by both the air drag force on the body and the kinetic frictional force on the skis. Suppose
the slope angle is 0 = 42.0°, the snow is dry snow with a coefficient of kinetic friction Hk = 0.0410, the mass of the skier and equipment
is m = 88.0 kg, the cross-sectional area of the (tucked) skier is A = 1.7O m², the drag coefficient is C = 0.150, and the air density is 1.20
kg/m3. (a) What is the terminal speed? (b) If a skier can vary C by a slight amount dC by adjusting, say, the hand positions, what is the
corresponding variation in the terminal speed? Give your answer in terms of the given values and dC (need derivative for given values).

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

You are a member of an alpine rescue team and must get a box of supplies, with mass 2.10 kg, up an incline of constant slope angle 30.0° so that it reaches a stranded skier who is a vertical distance 2.90 m above the bottom of the incline. There is some friction present; the kinetic coefficient of friction is 6.00×10-2. Since you can't walk up the incline, you give the box a push that gives it an initial velocity; then the box slides up the incline, slowing down under the forces of friction and gravity. Take acceleration due to gravity to be 9.81 m/s². Part A Use the work-energy theorem to calculate the minimum speed that you must give the box at the bottom of the incline so that it will reach the Express your answer numerically, in meters per second. ► View Available Hint(s) V= ΕΠΙΑΣΦΑ A20 ^ ? m/s
A pulley is attached to one end of a rough plank, which makes an angle of 34◦ with the horizontal. A box is held at rest on the plank by a string that is attached to the box and passes over the pulley. A bucket of water is attached to the other end of the string and hangs freely. The coefficient of static friction between the plank and the box is 0.8. The box remains at rest but is on the point of slipping up the plank. The bucket of water has mass 7.5 kg.Name the four forces acting upon the box and draw a force diagram showing them, including the angles that show their directions.
Calculate P required to move block A upward. Assume the coefficient of friction is 0.2 below block B. Neglect friction at all other contact surfaces. 30° P B 80 lb H₂ = 0.2 A 120 lb
A stubborn dog is being walked on a leash by its owner. At one point, the dog encounters an interesting scent at some spot on the ground and wants to explore it in detail, but the owner gets impatient and pulls on the leash with force F ⃗ = (98.0i ^ + 132.0j ^ + 32.0k ^ )N along the leash. (a) What is the magnitude of the pulling force? (b) What angle does the leash make with the vertical?
Calculate the ratio of the drag force on a jet flying at 900 km/h at an altitude of 10 km to the drag force on a prop-driven transport flying at one-fifth the speed and half the altitude of the jet. The density of air is 0.38 kg/m3 at 10 km and 0.67 kg/m3 at 5.0 km. Assume that the airplanes have the same effective cross-sectional area and drag coefficient C. (drag on jet/drag on transport) =
A sled of mass 500kg sits at rest on a rough slope that is inclined at 10* to the horizontal. The coefficient of friction between the slope and the sled is 0.3. The sled is held in place by a wire attached to a winch. The tension in the wire is TN. a) Find the maximum possible value of T. A load of mass mkg is added to the sled, and tension in the wire is increased to 5000N in order to pull the sled and load up the slop. Given that the sled and load are pulled a distance of 100m in 80seconds, b) Work out the value of m
A skydiver weighing 65 kg jumps out of a helicopter hovering at a height of 3 kilometers. Assume a cross-sectional area of 0.5 square meters. After thirty seconds of free fall, the skydiver deploys the parachute and the cross-sectional area becomes 40 square meters. Reproduce the model for the skydiver in Excel or VenSim. In VenSim you may have to make At quite small in order not to throw an error. Because you reach terminal velocity relatively quickly your answer should not be particularly sensitive to the value of At you choose. What is the skydiver's terminal velocity without the parachute? meters/second What is the skydiver's terminal velocity with the parachute? meters/second
A 22-kg crate is on an incline that makes an angle of 30° with the horizontal. If the coefficient of static friction is 0.50, the minimum force that can be applied parallel to the plane to hold the crate at rest is:
A 70 kg bicyclist is riding her 15 kg bicycle downhill on a road with a slope of 80without pedaling or braking. The bicyclist has a frontal area of 0.45 m2and a dragcoefficient of 1.1 in the upright position, and a frontal area of 0.4 m2and a dragcoefficient of 0.9 in a racing position. If the downhill speed of the bicyclist(terminal velocity) can be determined when the total force acting on the “body” inthe direction of movement is equal to zero, determine the percentage of downspeed that she can be increased when she is in a racing position. Air temperatureis 150C and disregarding the rolling resistance and friction at the bearing.