Q2: The speed of a car increases uniformly with time from (70 km/h) atA to (120 km/h) at B during (15 sec). The radius of curvature of the humpat A is 40 m. If the magnitude of thetotal acceleration of the mass center0.6 mAof the car is the same at B as at A,PBcompute the radius of curvature PBof the dip in the road at B. The mass40 mcenter of the car is 0.6 m from theBroad.

vA=70 km/h=703.6=19.4 m/svB=120 km/h=1203.6=33.3 m/s

Q2: The speed of a car increases uniformly with time from (70 km/h) at A to (120 km/h) at B during (15 sec). The radius of curvature of the hump at A is 40 m. If the magnitude of the 0.6 m total acceleration of the mass center of the car is the same at B as at A, PB compute the radius of curvature PR of the dip in the road at B. The mass 40 m center of the car is 0.6 m from the B road.

Q2: The speed of a car increases uniformly with time from (70 km/h) at A to (120 km/h) at B during (15 sec). The radius of curvature of the hump at A is 40 m. If the magnitude of the 0.6 m total acceleration of the mass center of the car is the same at B as at A, PB compute the radius of curvature PR of the dip in the road at B. The mass 40 m center of the car is 0.6 m from the B road.

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter6: Motion In Two Dimensions

Section: Chapter Questions

Problem 61A

See similar textbooks

Similar questions

(a) What is the radius of a bobsled turn banked at 75.0° and taken at 30.0 m/s, assuming it is ideally banked? (b) Calculate the centripetal acceleration. (c) Does this acceleration seem large to you?
Modem roller coasters have vertical loops like the one shown here. The radius of curvature is smaller at the top than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravity, keeping the passengers pressed firmly into their seats. (a) What is the speed of the roller coaster at the top of the loop if the radius of curvature there is 15.0 m and the downward acceleration of the car is 1.50 g ? (b) How high above the top of the loop must the roller coaster start from rest, assuming negligible friction? (c) If it actually starts 5.00 m higher than your answer to (b), how much energy did it lose to friction? Its mass is 1.50103kg .
A banked highway is designed for traffic moving at 90.0 km/h. The radius of the curve is 310 m. What is the angle of banking of the highway?
. A hang glider and its pilot have a total mass equal to 120 kg. While executing a 360° turn, the glider moves in a circle with an 8-m radius. The glider’s speed is 10 m/s. (a) What is the net force on the hang glider? (b) What is the acceleration?
(a) What is the radius of a bobsled turn banked at 75.0and taken at 30.0 m/s, assuming it is ideally banked? (b) Calculate the centripetal acceleration. (c) Does this acceleration seem large to you?
As their booster rockets separate, Space Shuttle astronauts typically feel accelerations up to 3g, where g = 9.80 m/s2. In their training, astronauts ride in a device where they experience such an acceleration as a centripetal acceleration. Specifically, the astronaut is fastened securely at the end of a mechanical arm, which then turns at constant speed in a horizontal circle. Determine the rotation rate, in revolutions per second, required to give an astronaut a centripetal acceleration of 3.00g while in circular motion with radius 9.45 m.
A number of amusement parks have rides that make loops like the one shown in Figure 6.33. For safety, the cars are attached to the rails in such a way cannot fall off. If the car goes over the top at just the right speed, gravity alone will supply the centripetal force. What other force acts and what is its direction if: (a) The car goes over the top at faster than this speed? (b) The car goes this speed? Figure 6.33 Amusement rides with a vertical loop are an example of a form of curved motion.
A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal circular path the riders follow has an 8.00-m radius, at how many revolutions per minute are the riders subjected to a centripetal acceleration equal to that of gravity?
An athlete swings a 5.00-kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.800 m at an angular speed of 0.500 rev/s. What are (a) the tangential speed of the ball and (b) its centripetal acceleration? (c) If the maximum tension the rope can withstand before breaking is 100. N, what is the maximum tangential speed the ball can have?
A pail of water is rotated in a vertical circle of radius 1.00 m. (a) What two external forces act on the water in the pail? (b) Which of the two forces is most important in causing the water to move in a circle? (c) What is the pails minimum speed at the top of the circle if no water is to spill out? (d) If the pail with the speed found in part (c) were to suddenly disappear at the top of the circle, describe the subsequent motion of the water. Would it differ from the motion of a projectile?
Banked curves are designed so that the radial component of the normal force on the car rounding the curve provides the centripetal force required to execute uniform circular motion and safely negotiate the curve. A car rounds a banked curve with banking angle ? = 23.2° and radius of curvature 168 m. (a) If the coefficient of static friction between the car's tires and the road is ?s = 0.393, what is the range of speeds for which the car can safely negotiate the turn without slipping? vlow=? m/s. vhigh= ? m/s b)What is the minimum value of ?s for which the car's minimum safe speed is zero? Note that friction points up the incline here.
A 40.0-kg child takes a ride on a Ferris wheel that rotatesfour times each minute and has a diameter of 18.0 m. (a)What is the centripetal acceleration of the child? (b) Whatforce (magnitude and direction) does the seat exert on thechild at the lowest point of the ride? (c) What force doesthe seat exert on the child at the highest point of the ride?(d) What force does the seat exert on the child when the childis halfway between the top and bottom?