iPad 1:36 PM session.masteringphysics.com c + MasteringPhysics: CH 03 HW Acceler

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iPad 1:36 PM session.masteringphysics.com c + MasteringPhysics: CH 03 HW Accelerating along a Racetrack A road race is taking place along the track shown in the Sigure All of the cars are moving at constant speeds. The car at point F is traveling along a straight section of the track, whereas all the other cars are moving along curved segments of the track Part A Let "s be the velocity of the car at point A. What can you say about the acceleration of the car at that point? Hints The acceleration is parallel to O The acceleration is perpendicular to and directed toward the inside of the track The acceleration is perpendalar to and drected toward the outside of the ack. O The acceleration is neither paralilel nor perpendicular toA O The acceleration is zero. My Answers Give Up Part B Let Eç be the velocity of the car at point C. What can you say about the acceleration of the car at that point? The acceleration is paralel to i O The acceleration is perpendicuiar to ec and pointed toward the inside of the track O The acceleration is perpendicuar to Ec and pointed toward the outside of the track The acceleration is nemer parallel nor perpendicular to The acceleration is zero My Answers Give Up Part C Letbe the velooty ofthe car at point D. What can you say about the acceleraton ofthe car at that port? Hints

Explanation / Answer

centripetal acceleration will act towards the center of the curved path

part A) the acceleration is perpendicular to vA and is directed towards inside of the track

part B) acceleration is perpendicular to vc and pointed towards inside of the track.

part C)acceleration is perpendicular to vD and pointed towards outside of track

part D) In this part the car moves in a straight path and velocity is not changing because the direction of the car is not changing. so acceleration is zero.

Part E) acceleration = v2 / r

here at point D, the path has the smallest radius and hence car at this point has the greatest acceleration.

the least acceleration is at F

part F) radius of path A and E is same, let v be the speed at point E, then at A speed will be 2v

acceleration at A will be = (2v)2 /r = 4v2 /r

acceleration at E = v2 /r

Hence the magnitude of the acceleration of car at point A is four times that of the car at point E

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