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A mass of 25kg is acted on by two forces, one which is 15 N due east while the second one is 10N due north . The acceleration of the mass is.​

Respuesta :

Answer:
0.72 m/s^2
33.7 degrees north of east

Found on quizlet.

The acceleration of the mass is 0.72m/s²

According to Newton's law of motion;

[tex]\sum F = ma[/tex]

Given the following parameters

mass m = 25kg

Get the resultant force

[tex]\sum F=\sqrt{10^2+15^2}\\\sum F = \sqrt{100 + 225}\\\sum F=\sqrt{325}\\\sum F= 18.03N[/tex]

From the formula:

[tex]a=\frac{\sum F}{m}\\a= \frac{18.03}{25}\\a= 0.72m/s^2[/tex]

Hence the acceleration of the mass is 0.72m/s²

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