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An object of mass m = 5.95 kg has an acceleration . Three
Chapter 5, Problem 60GP(choose chapter or problem)
An object of mass \(m=5.95\ \mathrm {kg}\) has an acceleration \(\mathrm {\vec{a}=(1.17\ m/s^2)\hat{x}+(-0.664\ m/s^2)\hat{y}}\). Three forces act on this object: \(\mathrm {\vec{F}_1}\), \(\mathrm {\vec{F}_2}\), and \(\mathrm {\vec{F}_3}\). Given that \(\mathrm {\vec{F}_1=(3.22\ N)\hat{x}}\) and \(\mathrm {\vec{F}_2=(-1.55\ N)\hat{x}+(2.05\ N)\hat{y}}\), find \(\(\mathrm {\vec{F}_3}\)\).
Equation Transcription:
Text Transcription:
m=5.95 kg
vec{a}=(1.17 m/s^2)hat{x}+(-0.664 m/s^2)hat{y}
vec{F}_1
vec{F}_2
vec{F}_3
vec{F}_1=(3.22 N)hat{x}
vec{F}_2=(-1.55 N)hat{x}+(2.05 N)hat{y}
vec{F}_3
Questions & Answers
QUESTION:
An object of mass \(m=5.95\ \mathrm {kg}\) has an acceleration \(\mathrm {\vec{a}=(1.17\ m/s^2)\hat{x}+(-0.664\ m/s^2)\hat{y}}\). Three forces act on this object: \(\mathrm {\vec{F}_1}\), \(\mathrm {\vec{F}_2}\), and \(\mathrm {\vec{F}_3}\). Given that \(\mathrm {\vec{F}_1=(3.22\ N)\hat{x}}\) and \(\mathrm {\vec{F}_2=(-1.55\ N)\hat{x}+(2.05\ N)\hat{y}}\), find \(\(\mathrm {\vec{F}_3}\)\).
Equation Transcription:
Text Transcription:
m=5.95 kg
vec{a}=(1.17 m/s^2)hat{x}+(-0.664 m/s^2)hat{y}
vec{F}_1
vec{F}_2
vec{F}_3
vec{F}_1=(3.22 N)hat{x}
vec{F}_2=(-1.55 N)hat{x}+(2.05 N)hat{y}
vec{F}_3
ANSWER:
Step 1 of 4
Here the objective is to determine the unknown force , when three forces , and are acting on an object to produce an acceleration and the other two forces are known.