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Q1. A roller-coaster car speeds down a hill past point A where R1 = 10.0 m and then rolls up a hill past point B where R2 = 13.0 m, as shown below.
(a) The car has a speed of 20.4 m/s at point A. if the track exerts the normal force on the car of 2.91x10^4 N at this point, what is the mass of the car?
(b) What is the maximum speed the car can have at point B for the gravitational force to hold it on the track?
Q2. In a diesel engine, the piston compresses air at 302 K to a volume that is 0.0612 of the original volume and the pressure that is 46 times the original pressure. What is the temperature of the air after the compression?
The longest "string" (a thick metal wire) on a particular piano is 3.0 m long and has a tension of 300.0 N. It vibrates with a fundamental frequency of 27.5 Hz. What is the total mass of the wire.
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