1.The wheel of a car has a radius of 0.413 m. If the wheel rotates at 456 revolutions per minute, what is the speed (in m/s) at which the outer edge of the wheel is moving? 2.(a)What is the maximum speed that a car can maneuver over a circular turn of radius r = 75.0 m without sliding if the coefficient of static friction is s = 0.780? (b) What is the maximum speed that a car can maneuver over a circular turn of radius r = 25.0 m without sliding if the coefficient of static friction is s = 0.120? 3.Two balls have the same mass of 5.00 kg. Suppose that these two balls are attached to a rigid massless rod of length 2L, where L = 0.550 m. One is attached at one end of the rod and the other at the middle of the rod. If the rod is held by the open end and rotates in a circular motion with angular speed of 45.6 revolutions per second, (a) What is the tension for the first half of the rod, i.e., between 0 and L if the pivot point is chosen as origin? (b) What is the tension for the second half of the rod, i.e., between L and 2L if the pivot point is chosen as origin? 4.Centrifuge is usually used to separate the various components in a whole blood. One intends to separate the red blood cells from the plasma in a sample of whole blood in a centrifuge of radius 0.350 m. If the mass of the red blood cell is 3.00 X 10-16 kg and the necessary force to separate the red blood cell from the plasma is 4.12 X 10-11 N, what is the angular speed the centrifuge should be operated? 5.Two objects attract each other with a gravitation force of magnitude 3.80 X 10-8 N when separated by a distance of 0.350 m. If the difference in mass of the objects is 7.50 kg, what is the mass for each of these objects? 6.Suppose that the moon orbits around the earth in a circle of radius r = 3.84 X 108 m, determine the period (that is the time it takes for the moon to go around the earth one time). 7.A rock of mass m = 0.0450 kg is attached to one end of a string and is whirled around in a horizontal circle. If the radius of the circle is 0.580 m and the angular speed is 2.34 rad/s. What is the tension in the string? 8.At an amusement park, the wheelie carries passengers in a circular path of radius r = 11.2 m. If the angular speed of the wheelie is 0.550 revolutions/s, (a) What is the tangential velocity of the passengers due to the circular motion? (b) What is the acceleration of the passengers? 9. The earth is about 1.50 X 1011 m from the sun and has a period of about 365 days orbiting around the sun. Suppose that the orbit of the earth is circular, what is the magnitude of the acceleration of the earth in m/s2? 10. What is the period of a satellite orbiting around the earth in a radius which is one half that of the distance from the earth to the moon