**Problem Statement:**A 7.50 kg block is released from rest on top of a frictionless ramp of height \( h = 3.25 \, \text{m} \) as shown in the figure below. The block reaches the bottom of the ramp and then moves across a long rough surface. If the coefficient of kinetic friction between the rough patch and the block is \( \mu_k = 0.315 \), how far along the rough patch has the block traveled when its speed has decreased to \( 1.55 \, \text{m/s}? \)**Diagram Explanation:**The diagram illustrates a block initially positioned at the top of a curved, frictionless ramp. The height of the ramp is indicated as \( h = 3.25 \, \text{m} \). Once the block descends the ramp, it transitions onto a horizontal rough patch. The rough patch is highlighted in the diagram. The problem requires determining the distance traveled by the block along the rough surface before its speed reduces to \( 1.55 \, \text{m/s} \) due to kinetic friction, characterized by a coefficient \( \mu_k = 0.315 \).

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A 7.50 kg block is released from rest on top of a frictionless ramp of height h = 3.25 m as %3D shown in the figure below. The block reaches the bottom of the ramp and then moves across a long rough surface. If the coefficient of kinetic friction between the rough patch and the block is uk = 0.315, how far along the rough patch has the block traveled when its speed has %3D decreased to 1.55 m/s? h Rough patch

A 7.50 kg block is released from rest on top of a frictionless ramp of height h = 3.25 m as %3D shown in the figure below. The block reaches the bottom of the ramp and then moves across a long rough surface. If the coefficient of kinetic friction between the rough patch and the block is uk = 0.315, how far along the rough patch has the block traveled when its speed has %3D decreased to 1.55 m/s? h Rough patch

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

**Problem Statement:**

A 7.50 kg block is released from rest on top of a frictionless ramp of height \( h = 3.25 \, \text{m} \) as shown in the figure below. The block reaches the bottom of the ramp and then moves across a long rough surface. If the coefficient of kinetic friction between the rough patch and the block is \( \mu_k = 0.315 \), how far along the rough patch has the block traveled when its speed has decreased to \( 1.55 \, \text{m/s}? \)

**Diagram Explanation:**

The diagram illustrates a block initially positioned at the top of a curved, frictionless ramp. The height of the ramp is indicated as \( h = 3.25 \, \text{m} \). Once the block descends the ramp, it transitions onto a horizontal rough patch. The rough patch is highlighted in the diagram.

The problem requires determining the distance traveled by the block along the rough surface before its speed reduces to \( 1.55 \, \text{m/s} \) due to kinetic friction, characterized by a coefficient \( \mu_k = 0.315 \).

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