3 18. A large spherical basketball (I=mr²) is rolled up an incline that makes an angle of with the horizontal as shown. The basketball has a mass of m and radius r It enters the incline with an initial linear velocity of v.| 0² a) Derive an expression for the force of friction of the ball as it rolls uphill. 0

3 18. A large spherical basketball (I=mr²) is rolled up an incline that makes an angle of with the horizontal as shown. The basketball has a mass of m and radius r It enters the incline with an initial linear velocity of v.| 0² a) Derive an expression for the force of friction of the ball as it rolls uphill. 0

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter2: One Dimensional Motion

Section: Chapter Questions

Problem 46PQ: In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A...

See similar textbooks

Similar questions

What is the average speed in mi/h of a person at the equator as a result of the Earths rotation? (Take the radius of the Earth to be RE = 4000 mi.)
Two planets in circular orbits around a star have speed of v and 2v . (a) What is the ratio of the orbital radii of the planets? (b) What is the ratio of their periods?
In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for the rockets position measured from the center of the Earth is given by y(t)=(R3/2+3g2Rt)2/3j where R is the radius of the Earth (6.38 106 m) and g is the constant acceleration of an object in free fall near the Earths surface (9.81 m/s2). a. Derive expressions for vy(t) and ay(t). b. Plot y(t), vy(t), and ay(t). (A spreadsheet program would be helpful.) c. When will the rocket be at y=4R? d. What are vy and ay when y=4R?
Ex. 41 A body of mass 1 kg is tied to a string and revolved in horizontal circle of radius 1 m. Calculate the maximum number of revolutions per minute, so that the string does nt break. Breaking tension of the string is 9.86 N.
A BMX biker wanted to impress his family by catching some air( aka leaving the ground) while riding over a hill in Tennesse with a radius of curvature of 7.6m. If the BMX biker rides over the hill at 11.2 m/s, will she catch some air and excitee her family? B) What is the minimum speed the biker has to travel in order to leave the ground when cresting the hill?
A car is driving on circular test track of radius 900 m at a constant tranlational speed. The friction foce between the tire and the track provides the centripetal force to keep the car in the corcular motion. If the lap time of the car is 58 s and the mass of the car is 1200 kg. fond the magnitude of the frictional force between the tire and the track in the unit N.
The super elevation of the railroad tract is the number of inches that the outside rail is raise to prevent side trust on the wheel flanges of cars rounding the curve at rate speed. Determine the super elevation e for a track a gauge of 4 ft - 8 ½ in of 2000 ft radius and a rate speed of 60mph.
hen a large star becomes a supernova, its core may be compressed so tightly that it becomes a neutron star, with a radius of about 9.0 km (about the size of a typical city). If a neutron star rotates once every 0.690 seconds, (a) what is the speed of a particle on the .... star's equator and (b) what is the magnitude of the particle's centripetal acceleration? (c) If the neutron star rotates faster, do the answers to (a) and (b) increase, decrease, or remain the same? (a) Number i Units m/s^3 Units m/s^2 (b) Number Nur (c) increase with Ques Numen with Linil eTextbook and Media
To test the effects of high acceleration onthe human body, the National Aeronautics and Space Administration (NASA) constructed a large centrifuge at the Manned SpacecraftCenter in Houston. In this device, astronauts were placed in a capsulethat moved in a circular path with a radius of 15 m. If the astronautsin this centrifuge experienced a centripetal acceleration 9.0 timesthat of gravity, what was the linear speed of the capsule?
A pilot performing a horizontal turnwill lose consciousness if she experiences a centripetal acceleration greater than 7.00 times the acceleration of gravity. Whatis the minimum radius turn she can make without losing consciousness if her plane is flying with a constant speed of 245 m>s?
How fast (in rpm) must a centrifuge rotate if a particle 9.50 cm from the axis of rotation is to experience an acceleration of 117000 g's? If the answer has 4 digits or more, enter it without commas, e.g. 13500.
A vehicle is zooming along a very hilly stretch of road. First it goes over a hump in this road then downhill through an empty ditch before climbing back uphill as it ascends from the ditch and climbs up the bank. The hump in the road which has a radius of 20.0m. the car’s weight is 9800N a)How fast can it go over the hump without lifting up above the surface of the road?