A semi is traveling down the highway at a velocity of v = 39.5 m/s. The driver observes a wreck ahead, locks his brakes, and begins to slide. The truck has mass m and a coefficient of kinetic friction between the tires and the road of μk = 0.25. Write an expression for the sum of the forces in the x-direction for the truck while braking. Using the results from that input an expression for the trucks acceleration, ax, while braking. What is the magnitude of the acceleration in m/s^2, and how far does the truck travel, d in meters, before stopping?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.51P: Let us make the (unrealistic) assumption that a boat of mass m gliding with initial velocity v0 in...
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 A semi is traveling down the highway at a velocity of v = 39.5 m/s. The driver observes a wreck ahead, locks his brakes, and begins to slide. The truck has mass m and a coefficient of kinetic friction between the tires and the road of μk = 0.25.

Write an expression for the sum of the forces in the x-direction for the truck while braking.

Using the results from that input an expression for the trucks acceleration, ax, while braking.

What is the magnitude of the acceleration in m/s^2, and how far does the truck travel, d in meters, before stopping?

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