Your neighbor designs automobiles for a living. You are fascinated with her work. She is designing a new automobile and needs to determine how strong the front suspension should be. She knows of your fascination with her work and your expertise in physics, so she asks you to determine how large the normal force on the front wheels of her design automobile could become under a hard stop, when the wheels are locked and the automobile is skidding on the road. She gives you the following information. The mass of the automobile is m₂ = 1.10 × 103 kg and it can carry five passengers of average mass m = 80.0 kg. The front and rear wheels are separated by d = 4.45 m. The center of mass of the car carrying five passengers is dcm = 2.25 m behind the front wheels and hcm = 0.630 m above the roadway. A typical coefficient of kinetic friction between tires and roadway is μk = 0.840. (Caution: The braking automobile is not in an inertial reference frame. Enter the magnitude of the force in N.) The car is a rigid object in rotational equilibrium. Write a torque equation for the skidding car but be careful with your choice of rotation axis. N

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
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Chapter5: Displacement And Force In Two Dimensions
Section: Chapter Questions
Problem 82A
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Your neighbor designs automobiles for a living. You are fascinated with her work. She is designing a new automobile and needs to determine how strong the front suspension should be. She knows of your fascination with her work and your expertise in physics, so she asks you to determine
how large the normal force on the front wheels of her design automobile could become under a hard stop, when the wheels are locked and the automobile is skidding on the road. She gives you the following information. The mass of the automobile is m₂ = 1.10 × 103 kg and it can carry
five passengers of average mass m = 80.0 kg. The front and rear wheels are separated by d = 4.45 m. The center of mass of the car carrying five passengers is dcm = 2.25 m behind the front wheels and hcm = 0.630 m above the roadway. A typical coefficient of kinetic friction between
tires and roadway is μk = 0.840. (Caution: The braking automobile is not in an inertial reference frame. Enter the magnitude of the force in N.)
The car is a rigid object in rotational equilibrium. Write a torque equation for the skidding car but be careful with your choice of rotation axis. N
Transcribed Image Text:Your neighbor designs automobiles for a living. You are fascinated with her work. She is designing a new automobile and needs to determine how strong the front suspension should be. She knows of your fascination with her work and your expertise in physics, so she asks you to determine how large the normal force on the front wheels of her design automobile could become under a hard stop, when the wheels are locked and the automobile is skidding on the road. She gives you the following information. The mass of the automobile is m₂ = 1.10 × 103 kg and it can carry five passengers of average mass m = 80.0 kg. The front and rear wheels are separated by d = 4.45 m. The center of mass of the car carrying five passengers is dcm = 2.25 m behind the front wheels and hcm = 0.630 m above the roadway. A typical coefficient of kinetic friction between tires and roadway is μk = 0.840. (Caution: The braking automobile is not in an inertial reference frame. Enter the magnitude of the force in N.) The car is a rigid object in rotational equilibrium. Write a torque equation for the skidding car but be careful with your choice of rotation axis. N
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