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A roller coaster cart of mass m=351 kg starts stationary at point A, where h1= 29.2 m...

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juniormax | Student, Undergraduate | (Level 1) Honors

Posted November 16, 2009 at 8:54 PM via web

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A roller coaster cart of mass m=351 kg starts stationary at point A, where h1= 29.2 m and a while later is at B, where h2= 10.1 m.

The acceleration of gravity is 9.8 m/s^2.

What is the speed of the cart at B, ignoring the effect of friction? Answer in units of m/s.

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neela | High School Teacher | (Level 3) Valedictorian

Posted November 16, 2009 at 10:49 PM (Answer #1)

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The vertical distance the roller coster cart of mass moved down  is given by :

h1-h2= 29.2m-10.1m = 19.1m

There is no friction. We assume that the cart is moving only due to the gratational acceleration.

Let the acceleration due to gravity 9m/s^2 and the velocity of the cart V, the relation between is as follows:

v^2 = 2g(h1-h2)=2*9.81*19.1

v=sqrt(2*9.81*19.1)=19.3583m/s is the downward speed

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