1 000 kg car, 10 m/s, radius 50 m. Centripetal acceleration?

Question

1 000 kg car, 10 m/s, radius 50 m. Centripetal acceleration??  
A. 2 m/s²  
B. 4 m/s²  
C. 5 m/s²  
D. 10 m/s²

Accepted Answer

Correct Answer: (A)2 m/s². 
Rationale: The centripetal acceleration of the car is 2 m/s².Centripetal acceleration is the acceleration required to keep an object moving in a circular path. It depends only on the speed of the object and the radius of the circular path, not on the mass of the object. The relationship used is:centripetal acceleration equals speed squared divided by radiuswhere speed is the velocity of the object and radius is the radius of the curve.A) 2 m/s²Substituting the given values into the relationship gives:centripetal acceleration equals 10 meters per second squared divided by 50 meterscentripetal acceleration equals 100 divided by 50centripetal acceleration equals 2 meters per second squaredThis correctly applies the centripetal acceleration relationship.B) 4 m/s²This value would result from dividing by 25 meters instead of the given 50 meters, or from another arithmetic error. It does not match the correct calculation using the stated radius.C) 5 m/s²This option reflects an incorrect manipulation of the relationship, such as using the radius incorrectly or miscalculating the square of the speed.D) 10 m/s²This value would imply either ignoring the radius entirely or confusing centripetal acceleration with linear acceleration. It is not supported by the correct relationship.ConclusionCentripetal acceleration depends on the square of the speed divided by the radius of the circular path. Using the given values yields a centripetal acceleration of 2 m/s².

1 000 kg car, 10 m/s, radius 50 m. Centripetal acceleration?

A
2 m/s²

B
4 m/s²

C
5 m/s²

D
10 m/s²

The centripetal acceleration of the car is 2 m/s².

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1 000 kg car, 10 m/s, radius 50 m. Centripetal acceleration?

A 2 m/s² B 4 m/s² C 5 m/s² D 10 m/s²

The centripetal acceleration of the car is 2 m/s².

Topic Flashcards

Mini Quiz

Related Questions

A
2 m/s²

B
4 m/s²

C
5 m/s²

D
10 m/s²