A contestant in a winter sporting event pulls an m kg block of ice across a frozen lake by applying a force F at an angle θ above the horizontal as shown. Assume that the coefficient of static friction for ice on ice is 0.0300, and the coefficient of kinetic friction for the same is 0.0100. Let to the right be the positive x direction and up be the positive y direction for your equations. Obtain a numeric value, in newtons, for the magnitude of the maximum applied force, F, consistent with static friction when the force makes an angle 22° above the horizontal and the mass of the block is 34 kg. Obtain a numeric value for the acceleration, a, in meters per squared seconds, when the mass of the block is 34 kg and the angle of the rope is 22° above the horizontal.

A contestant in a winter sporting event pulls an m kg block of ice across a frozen lake by applying a force F at an angle θ above the horizontal as shown. Assume that the coefficient of static friction for ice on ice is 0.0300, and the coefficient of kinetic friction for the same is 0.0100. Let to the right be the positive x direction and up be the positive y direction for your equations. Obtain a numeric value, in newtons, for the magnitude of the maximum applied force, F, consistent with static friction when the force makes an angle 22° above the horizontal and the mass of the block is 34 kg. Obtain a numeric value for the acceleration, a, in meters per squared seconds, when the mass of the block is 34 kg and the angle of the rope is 22° above the horizontal.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 67P

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A contestant in a winter sporting event pushes an mm kg block of ice across a frozen lake by applying a force FF at an angle θθ below the horizontal as shown. Assume that the coefficient of static friction for ice on ice is 0.0300, and the coefficient of kinetic friction for the same is 0.0100. Let to the right be the positive x direction and up be the positive y direction for your equations. Obtain a numeric value, in newtons, for the magnitude of the maximum applied force, F, consistent with static friction when the force makes an angle 32° below the horizontal and the mass of the block is 63 kg. Obtain a numeric value for the acceleration, a, in meters per squared seconds, when the mass of the block is 63 kg and the angle of the rope is 32° below the horizontal.
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