While watching the Minty Mania Grand Prix (the first race of the Marbula One 2020 season), you're curious about a few things. You notice that the marbles move downhill during the entire race (the slope of the track changes at different points), and then are lifted back to the starting line by a conveyor belt at the end of each lap. The announcer mentions that the conveyor belt lifts the marbles a height of 40.0 cm, at a constant speed of 0.095m/s, and that the length of the conveyor belt is 52 cm. He also mentions that the length of the track (from start line to finish line) is 10.26 m. You can assume that the marble is already moving at this speed when it starts moving up the conveyor belt. You also know that the mass of each racer (marble) is 6.6 g. To simplify the analysis, you decide to model the force of friction acting on the marble (due to interactions with the track, walls, and other marbles) as a constant 0.002 N force. To satisfy your curiosity, determine the power of the conveyor belt's motor, and the speed that the racer (marble) crosses the finish line with. A simplified diagram of the track is shown below. For this analysis, you should focus on only one marble, and use energy methods.
While watching the Minty Mania Grand Prix (the first race of the Marbula One 2020 season), you're curious about a few things. You notice that the marbles move downhill during the entire race (the slope of the track changes at different points), and then are lifted back to the starting line by a conveyor belt at the end of each lap. The announcer mentions that the conveyor belt lifts the marbles a height of 40.0 cm, at a constant speed of 0.095m/s, and that the length of the conveyor belt is 52 cm. He also mentions that the length of the track (from start line to finish line) is 10.26 m. You can assume that the marble is already moving at this speed when it starts moving up the conveyor belt. You also know that the mass of each racer (marble) is 6.6 g. To simplify the analysis, you decide to model the force of friction acting on the marble (due to interactions with the track, walls, and other marbles) as a constant 0.002 N force. To satisfy your curiosity, determine the power of the conveyor belt's motor, and the speed that the racer (marble) crosses the finish line with. A simplified diagram of the track is shown below. For this analysis, you should focus on only one marble, and use energy methods.
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Transcribed Image Text:While watching the Minty Mania Grand Prix (the first race of the Marbula One 2020 season), you're curious about a few things. You
notice that the marbles move downhill during the entire race (the slope of the track changes at different points), and then are lifted
back to the starting line by a conveyor belt at the end of each lap. The announcer mentions that the conveyor belt lifts the marbles a
height of 40.0 cm, at a constant speed of 0.095m/s, and that the length of the conveyor belt is 52 cm. He also mentions that the
length of the track (from start line to finish line) is 10.26 m. You can assume that the marble is already moving at this speed when it
starts moving up the conveyor belt. You also know that the mass of each racer (marble) is 6.6 g. To simplify the analysis, you decide
to model the force of friction acting on the marble (due to interactions with the track, walls, and other marbles) as a constant 0.002
N force.
To satisfy your curiosity, determine the power of the conveyor belt's motor, and the speed that the racer (marble) crosses the finish
line with. A simplified diagram of the track is shown below. For this analysis, you should focus on only one marble, and use energy
methods.
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