# Draw body diagram for each situation

Draw free-body diagrams for each of the following objects in uniform circular motion. State the force(s) providing the centripetal force. a. The Earth orbiting the Sun b. A car making a curve on a horizontal road c. A ball on a string swinging in circles on a horizontal surface d. A ball on a string swinging in circles in the vertical plane: – at the top of the circle – at the bottom of the circle e. A ball on a string swung in circles in a horizontal plane in mid-air such that the plane of the circle is below the end of the string held at the centre of the circle. f. A pilot in a plane making a vertical circle in mid-air: – at the top of the loop (she is upside down at this position, as is the plane) – at the bottom of the loop 2. Sometimes road surfaces have banked curves. Explain how this helps cars make turns more safely. Include a free-body diagram. 3. A rock of mass 200 g is attached to a 0.75 m long string and swung in a vertical plane. a. What is the slowest speed that the rock can travel and still maintain a circular path? b. What is the tension in the string at the bottom of the swing? 4. Kim has her coffee cup on her car’s dash when she takes a corner with radius 4 m at 20 km/h. What is the minimum coefficient of static friction which would allow the coffee cup to stay there without slipping?

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