You are riding in a school bus as the bus rounds a

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2. [6] You are riding in a school bus. As the bus rounds a flat curve at constant speed, a lunch box with mass 0.500 kg, suspended from the ceiling of the bus by a string 1.80 m long, is found to hang at rest relative to the bus when the string makes an angle of 30.0owith the vertical. In this position the lunch box is 50.0 m from the centre of curvature of the curve. a. [2] Draw the free-body diagram and kinetic diagram for the lunch box. [1 mark for each diagram] b. [4] What is the speed, v, of the bus?
[2 marks]
3. [9] The car has a speed of 72 km/h at the bottom of the dip when the driver applies the brakes, causing a deceleration of magnitude 5 m/s2. A package is placed on a seat cushion, which has an angle of θ= 8owith horizontal as shown. What is the minimum coefficient of static friction between the package and the seat cushion so that the package will not slide forward? [2 marks]
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