1. A new car is tested on a 290-m-diameter track. If the car speeds up at...

1. A new car is tested on a 290-m-diameter track. If the car speeds up at a steady 1.2 m/s2 , how long after starting is the magnitude of its centripetal acceleration equal to the tangential acceleration? Express your answer to two significant figures and include 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 kg rubber-tired car can take this curve without sliding? (Take the static 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 an 80-cm-long string. The tension in the string is 20 N when its angle from the highest point on the circle is θ=30∘.

Part A: What is the ball's speed when θ=30∘? Express your answer to two significant figures and include the appropriate units.

Part B: What is the magnitude of the ball's acceleration when θ=30∘? Express your answer to two significant figures and include the appropriate units.

Part C: What is the direction of the ball's acceleration when θ=30∘? Give the direction as an angle from the r-axis. Express your answer to two significant figures and include the appropriate units.

Expert Solution

genius_generous answered 3 years ago

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