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car of mass m is negotiating a circular turn of radius R and speed v. The forces on the car are shown below. Vertical horizontal plane A. Draw a free body of the car. W N f = F₁ = H₂N B. Identify the radial direction. Pick coordinate axes with x pointing in the radial direction towards the center of the circle and y in the vertical direction. Show the coordinate axes on the free body diagram. C. Set up Newton's Laws in the radial and vertical direction. Which force provides the centripetal force? D. Use the equations in part C to solve for the speed of the car in terms of the other variables. Does the speed depend on the mass of the car?

car of mass m is negotiating a circular turn of radius R and speed v. The forces on the car are shown below. Vertical horizontal plane A. Draw a free body of the car. W N f = F₁ = H₂N B. Identify the radial direction. Pick coordinate axes with x pointing in the radial direction towards the center of the circle and y in the vertical direction. Show the coordinate axes on the free body diagram. C. Set up Newton's Laws in the radial and vertical direction. Which force provides the centripetal force? D. Use the equations in part C to solve for the speed of the car in terms of the other variables. Does the speed depend on the mass of the car?

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car of mass m is negotiating a circular turn of radius R and speed v. The forces on the car are shown below. Vertical V horizontal plane A. Draw a free body of the car. W f = F₁ = H₂N B. Identify the radial direction. Pick coordinate axes with x pointing in the radial direction towards the center of the circle and y in the vertical direction. Show the coordinate axes on the free body diagram. C. Set up Newton's Laws in the radial and vertical direction. Which force provides the centripetal force? D. Use the equations in part C to solve for the speed of the car in terms of the other variables. Does the speed depend on the mass of the car? E. If R=250.0 m, m=750.0 kg, calculate the speed of the car. Show all calculations.
Transcribed Image Text:car of mass m is negotiating a circular turn of radius R and speed v. The forces on the car are shown below. Vertical V horizontal plane A. Draw a free body of the car. W f = F₁ = H₂N B. Identify the radial direction. Pick coordinate axes with x pointing in the radial direction towards the center of the circle and y in the vertical direction. Show the coordinate axes on the free body diagram. C. Set up Newton's Laws in the radial and vertical direction. Which force provides the centripetal force? D. Use the equations in part C to solve for the speed of the car in terms of the other variables. Does the speed depend on the mass of the car? E. If R=250.0 m, m=750.0 kg, calculate the speed of the car. Show all calculations.
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