Answered: A brick resting on a frozen pond is…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

A brick resting on a frozen pond is given an initial speed v_i in the +x-direction. The coefficient of kinetic friction between the ice and the brick is μ_k.

(a)

Write an expression for the acceleration of the brick as it slides across the frozen pond. (Use the following as necessary: μ_k and g. Indicate the direction with the sign of your answer.)

(b)

Use your result to write an expression for the distance d the brick slides, using v_i, μ_k, and g only.

A brick resting on a frozen pond
given an initial speed v, in the +x-direction. The coefficient of kinetic friction between
the ice and the brick is Hk-
(a) Write an expression for the acceleration of the brick as it slides across the frozen pond. (Use the following as
necessary: uk and g. Indicate the direction with the sign of your answer.)
Write Newton's second law in the y-direction to determine the normal force, then write the second-law equation in
the x-direction. Notice that there is only one force acting on the brick: f = Hyn. Solve your equation for the
acceleration.
(b) Use your result to write an expression for the distance d the brick slides, using V, Hk, and g only.
(vi)2
d =
2(uk) (g)
Use the time-independent kinematics equation and the acceleration from part (a) to determine the distance the brick
travels before coming to a stop. Note that v = 0.

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