Just an instant before reaching the very bottom of a semicircular section of a r

Question

Just an instant before reaching the very bottom of a semicircular section of a roller coaster ride, the automatic emergency brake inadvertently goes on. Assume the car has a total mass of 870 kg , the radius of that section of the track is 57.0 m , and the car entered the bottom after descending vertically (from rest) 29.0 m on a frictionless straight incline.

Part A

If the braking force is a steady 1700 N , determine the magnitude of the car's centripetal acceleration.

9.97

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Correct

Part B

Determine the ditection of the car's centripetal acceleration.

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Part C

Determine the normal force of the track on the car.

1.72×104

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Correct

Part D

Determine the magnitude of the tangential acceleration of the car.

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Part E

Determine the direction of the tangential acceleration of the car.

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Part F

Determine the total acceleration of the car.

Just an instant before reaching the very bottom of a semicircular section of a roller coaster ride, the automatic emergency brake inadvertently goes on. Assume the car has a total mass of 870 kg , the radius of that section of the track is 57.0 m , and the car entered the bottom after descending vertically (from rest) 29.0 m on a frictionless straight incline.

Part A

If the braking force is a steady 1700 N , determine the magnitude of the car's centripetal acceleration.

ac =

9.97

  m/s2  

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Correct

Part B

Determine the ditection of the car's centripetal acceleration.

Determine the ditection of the car's centripetal acceleration. upward downward toward velocity opposite velocity

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Part C

Determine the normal force of the track on the car.

N =

1.72×104

  N  

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Correct

Part D

Determine the magnitude of the tangential acceleration of the car.

at =   m/s2  

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Part E

Determine the direction of the tangential acceleration of the car.

Determine the direction of the tangential acceleration of the car. upward downward toward velocity opposite velocity

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Incorrect; Try Again; 5 attempts remaining

Part F

Determine the total acceleration of the car.

a =   m/s2  

Explanation / Answer

B) upward

D) at = 1700/870 = 1.95 4m/s^2

E) Towards velocity

F)total acclertaion = sqroot (9.97^2 + 1.964^2) = 10.159 m/s ^2

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