Centripetal acceleration of the plane

Question

Question 1: Compute the centripetal force acting on a 925 kg car as it rounds an unbanked curve with a radius of 75 m at a speed of 22m/s?

Question 2: A small plane makes a complete circle with a radius of 3282 m in 2.0 min. Determine the centripetal acceleration of the plane?

Question 3: A car with a mass of 822 kg rounds an unbanked curve in the road at a speed of 28.0m/s. If the radius of the curve is 105 m, determine the average centripetal force acting on the car?

Question 4: An amusement park ride has a radius of 2.8 m. If the time of one revolution of a rider is 0.98 s, find out the speed of the rider?

Question 5: An electron (m = 9.11 x 10^-31 kg) moves in a circle whose radius is 2.00 x 10^-2 m.  If the force acting on the electron is 4.60 x 10^-14 N, determine the speed of the electrons?

Question 6: A 925 kg car rounds an unbanked curve at a speed of 25 m/s. If the radius of the curve is 72 m, determine the minimum coefficient of friction needed so that the car does not skid?

Question 7: A 2.7 x 10³ kg satellite orbits the earth at a distance of 1.8 x 10⁷ m from the earth’s center at a speed of 4.7 x 10³ m/s. What is the force acting on the satellite by the earth?

Question 8: Compute the (a) speed and (b) acceleration of a point on the circumference of an old style phonograph record that revolves at 331/3 revolutions per minute if the diameter of the record is 30.0 cm.

Question 9: A string needs 135 N of force in order to break. A 2.00 kg mass is tied to the string and whirled in a horizontal circle with a radius of 1.10 m. Find out the maximum speed that the mass can be whirled at without breaking the string?

Question 10: A 932 kg car is traveling about an unbanked curve which has a radius of 82 m. Determine the maximum speed that this car can round this curve without skidding.

a) If the co-efficient of friction is .95?
b) If the co-efficient of friction is .40?

Question 11: Determine the maximum speed of a car rounding a 125 m curve in the highway under very icy conditions if the banking angle is 20.0º?

Question 12: A 745 m curve on a racetrack is to be banked for cars traveling at 90.0m/s. At what angle must it be banked if it is going to be employed under very icy conditions?

Question 13: An airplane traveling at a speed of 115 m/s makes a complete horizontal turn in 1.20 x 10² s. Determine the banking angle?

Question 14: A car rounds a very icy banked curve in the highway that is banked at an angle of 18º while traveling at a speed of 28 m/s. Find out the minimum radius of the curve?

Question 15: An airplane flying at a speed of 205 m/s makes a complete horizontal turn while banking at 29.0º. Find out the radius of the turn?