A 5kg block is sliding at 10m/s. If friction applies 15N of resistive force:a. How far will the block slide before stopping?b. How much time will it take the block to come to a stop?

Answered: A 5kg block Is sliding at 10m/s. If…

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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A 5kg block is sliding at 10m/s. If friction applies 15N of resistive force:
a. How far will the block slide before stopping?
b. How much time will it take the block to come to a stop?

Expert Solution

Step 1

Friction is a force resistive to the direction of motion. The force is proportional to the normal force perpendicular to the surface between two objects. The proportionality constant is called coefficient of friction.

(given)

Mass of the block is 5 kg.

Sliding velocity of block is 10 m/s.

$F_{r}$ is the frictional force.

N is the normal force.

Frictional force is

$F = μ_{K} N$

Force in the x- direction,

$\sum_{} F_{x} = F - F_{r} = 0 F = F_{r}$

Force in the y - direction,

$\underset{}{\sum F_{y} = N - m g = 0} N = m g F = μ_{k} m g$

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