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Question 6.03 In this example the friction force between a vehicle's tires and the road provides the radial acceleration. A car rounds a flat, unbanked curve with radius R. (a) If the coefficient of static friction between tires and road is us, derive an expression for the maximum speed vmax at which the driver can take the curve without sliding. (b) What is the maximum speed if R=250m and us-0.90? Part A:What is the friction force on a 1400 kg car if it rounds a curve with radius 200 m at a speed of 15m/s?Express your answer with the appropriate units. Part B: What minimum coefficient of friction is needed?

Question 6.03 In this example the friction force between a vehicle's tires and the road provides the radial acceleration. A car rounds a flat, unbanked curve with radius R. (a) If the coefficient of static friction between tires and road is us, derive an expression for the maximum speed vmax at which the driver can take the curve without sliding. (b) What is the maximum speed if R=250m and us-0.90? Part A:What is the friction force on a 1400 kg car if it rounds a curve with radius 200 m at a speed of 15m/s?Express your answer with the appropriate units. Part B: What minimum coefficient of friction is needed?

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**Question 6.03** In this example, the friction force between a vehicle’s tires and the road provides the radial acceleration. A car rounds a flat, unbanked curve with radius \( R \). **(a)** If the coefficient of static friction between tires and road is \( \mu_s \), derive an expression for the maximum speed \( v_{\text{max}} \) at which the driver can take the curve without sliding. **(b)** What is the maximum speed if \( R = 250\text{ m} \) and \( \mu_s = 0.90 \)? - **Part A:** What is the friction force on a 1400 kg car if it rounds a curve with radius 200 m at a speed of 15 m/s? Express your answer with the appropriate units. - **Part B:** What minimum coefficient of friction is needed? **Question: Conical Pendulum II** A bob of mass \( m = 0.250 \text{ kg} \) is suspended from a fixed point with a massless string of length \( L = 25.0\text{ cm} \). You will investigate the motion in which the string traces a conical surface with half-angle \( \theta = 18.0 \) degrees. - **Part A:** What tangential speed \( V \) must the bob have so that it moves in a horizontal circle with the string making an angle 18.0 degrees with the vertical? Express your answer numerically in meters per second.
Transcribed Image Text:**Question 6.03** In this example, the friction force between a vehicle’s tires and the road provides the radial acceleration. A car rounds a flat, unbanked curve with radius \( R \). **(a)** If the coefficient of static friction between tires and road is \( \mu_s \), derive an expression for the maximum speed \( v_{\text{max}} \) at which the driver can take the curve without sliding. **(b)** What is the maximum speed if \( R = 250\text{ m} \) and \( \mu_s = 0.90 \)? - **Part A:** What is the friction force on a 1400 kg car if it rounds a curve with radius 200 m at a speed of 15 m/s? Express your answer with the appropriate units. - **Part B:** What minimum coefficient of friction is needed? **Question: Conical Pendulum II** A bob of mass \( m = 0.250 \text{ kg} \) is suspended from a fixed point with a massless string of length \( L = 25.0\text{ cm} \). You will investigate the motion in which the string traces a conical surface with half-angle \( \theta = 18.0 \) degrees. - **Part A:** What tangential speed \( V \) must the bob have so that it moves in a horizontal circle with the string making an angle 18.0 degrees with the vertical? Express your answer numerically in meters per second.
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