1. A new car is tested on a 290-m-diameter track. If the carspeeds up at a steady 1.2 m/s2 , how long after starting is themagnitude of its centripetal acceleration equal to the tangentialacceleration? Express your answer to two significant figures andinclude the appropriate units.
2. A concrete highway curve of radius 80.0 m is banked at a 15.0∘ angle.
Part A: What is the maximum speed with which a 1300 kgrubber-tired car can take this curve without sliding? (Take thestatic coefficient of friction of rubber on concrete to be 1.0.)Express your answer with the appropriate units.
3. A 4 kg ball swings in a vertical circle on the end of an80-cm-long string. The tension in the string is 20 N when its anglefrom the highest point on the circle is θ=30∘.
Part A: What is the ball's speed when θ=30∘? Express your answerto two significant figures and include the appropriate units.
Part B: What is the magnitude of the ball's acceleration whenθ=30∘? Express your answer to two significant figures and includethe appropriate units.
Part C: What is the direction of the ball's acceleration whenθ=30∘? Give the direction as an angle from the r-axis.Express your answer to two significant figures and include theappropriate units.
