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?

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