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A 10N horizontal force is exerted on a 100kg object that slides on a frictionless, horizontal surface. If the object is pushed 10 meters, what is its final velocity? Do this problem as a constant acceleration problem and also do it using work and energy, and show that your answers are the same.

A 10N horizontal force is exerted on a 100kg object that slides on a frictionless, horizontal surface. If the object is pushed 10 meters, what is its final velocity? Do this problem as a constant acceleration problem and also do it using work and energy, and show that your answers are the same.

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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A 10N horizontal force is exerted on a 100kg object that slides on a frictionless, horizontal surface. If the object is pushed 10 meters, what is its final velocity? Do this problem as a constant acceleration problem and also do it using work and energy, and show that your answers are the same.
Transcribed Image Text:A 10N horizontal force is exerted on a 100kg object that slides on a frictionless, horizontal surface. If the object is pushed 10 meters, what is its final velocity? Do this problem as a constant acceleration problem and also do it using work and energy, and show that your answers are the same.
Expert Solution
Step 1

First method:

According to the Newton’s second law, the acceleration of the object is,

F=maa=Fm=10 N100 kg=0.1 m/s2

According to the kinematics equation, the final velocity of the object is,

v2=u2+2adv=u2+2ad=0+20.1 m/s210 m=1.41 m/s

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