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A 3kg block slides along a floor with coefficient of kinetic friction lk = 0.3, initially moving at 7.0m/s. It travels for 2.0 meters, then encounters a ramp sloped upward at 40°. The ramp also has a coefficient of kinetic friction lk = 0.3. How fast is the block moving when it reaches the bottom of the ramp? How far up the ramp does the block slide, before momentarily coming to rest?

A 3kg block slides along a floor with coefficient of kinetic friction lk = 0.3, initially moving at 7.0m/s. It travels for 2.0 meters, then encounters a ramp sloped upward at 40°. The ramp also has a coefficient of kinetic friction lk = 0.3. How fast is the block moving when it reaches the bottom of the ramp? How far up the ramp does the block slide, before momentarily coming to rest?

College Physics
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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**Physics Problem: Motion on a Frictional Surface and Inclined Ramp** A 3 kg block slides along a floor with a coefficient of kinetic friction \(\mu_k = 0.3\), initially moving at a speed of 7.0 m/s. The block travels for a distance of 2.0 meters before it encounters a ramp inclined at 40°. The ramp also has a coefficient of kinetic friction \(\mu_k = 0.3\). **Questions:** 1. How fast is the block moving when it reaches the bottom of the ramp? 2. How far up the ramp does the block slide before momentarily coming to rest? This problem involves the principles of physics, including friction, kinetic energy, and motion on an inclined plane. Students are encouraged to apply concepts such as energy conservation and frictional forces to solve this problem. Consideration of both horizontal and inclined surfaces provides a comprehensive understanding of the effects of friction in different scenarios.
Transcribed Image Text:**Physics Problem: Motion on a Frictional Surface and Inclined Ramp** A 3 kg block slides along a floor with a coefficient of kinetic friction \(\mu_k = 0.3\), initially moving at a speed of 7.0 m/s. The block travels for a distance of 2.0 meters before it encounters a ramp inclined at 40°. The ramp also has a coefficient of kinetic friction \(\mu_k = 0.3\). **Questions:** 1. How fast is the block moving when it reaches the bottom of the ramp? 2. How far up the ramp does the block slide before momentarily coming to rest? This problem involves the principles of physics, including friction, kinetic energy, and motion on an inclined plane. Students are encouraged to apply concepts such as energy conservation and frictional forces to solve this problem. Consideration of both horizontal and inclined surfaces provides a comprehensive understanding of the effects of friction in different scenarios.
1) Draw a pictorial representation of the problem. 2) Choose two coordinate systems, one for the flat surface part of the problem, one for the ramp part of the problem. 3) List given information as consistent with your chosen coordinates. Be sure to choose variable names that are not ambiguous (for example, do not use \( v_f \) for final velocity in both parts).
Transcribed Image Text:1) Draw a pictorial representation of the problem. 2) Choose two coordinate systems, one for the flat surface part of the problem, one for the ramp part of the problem. 3) List given information as consistent with your chosen coordinates. Be sure to choose variable names that are not ambiguous (for example, do not use \( v_f \) for final velocity in both parts).
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