A roller-coaster car has a mass of 499 kg when fully loaded with passengers. The path of the coaster from its initial point shown in the figure to point B involves only up-and-down motion (as seen by the riders), with no motion to the left or right. Assume the roller-coaster tracks at points and are parts of vertical circles of radius r₁ = 10.0 m and r₂ = 15.0 m, respectively. (a) If the vehicle has a speed of 20.9 m/s at point, what is the force exerted by the track on the car at this point? 24851.2 X Draw a free-body diagram of the cart at the point. Include only 'real' forces (i.e. do not include anything labeled centripetal or centrifugal). In what direction should the net force point? N (b) What is the maximum speed the vehicle can have at Band still remain on the track? m/s

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A roller-coaster car has a mass of 499 kg when fully loaded with passengers. The path of the coaster from its initial point shown in the figure to point B involves
only up-and-down motion (as seen by the riders), with no motion to the left or right. Assume the roller-coaster tracks at points and are parts of vertical
circles of radius ₁
10.0 m and r₂ 15.0 m, respectively.
12
(a) If the vehicle has a speed of 20.9 m/s at point , what is the force exerted by the track on the car at this point?
24851.2
X
Draw a free-body diagram of the cart at the point . Include only 'real' forces (i.e. do not include anything labeled centripetal or centrifugal). In what
direction should the net force point? N
(b) What is the maximum speed the vehicle can have at B and still remain on the track?
m/s
Transcribed Image Text:A roller-coaster car has a mass of 499 kg when fully loaded with passengers. The path of the coaster from its initial point shown in the figure to point B involves only up-and-down motion (as seen by the riders), with no motion to the left or right. Assume the roller-coaster tracks at points and are parts of vertical circles of radius ₁ 10.0 m and r₂ 15.0 m, respectively. 12 (a) If the vehicle has a speed of 20.9 m/s at point , what is the force exerted by the track on the car at this point? 24851.2 X Draw a free-body diagram of the cart at the point . Include only 'real' forces (i.e. do not include anything labeled centripetal or centrifugal). In what direction should the net force point? N (b) What is the maximum speed the vehicle can have at B and still remain on the track? m/s
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