Answered

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MINECRATHI CHASE NOZaland NorthINVATAE. 09.8 m/s²5. An object of mass 12 kg is being pulled on afriction less horizontal surface by means of twostrings. One of the strings has a tension of 24 N and makesan angle of 40 degree with the horizontal. The other string ispulling horizontally and has a tension of 20 N.Calculate the acceleration of the object. (1 point)A. O5.465 m/s²B. O 0.482 m/s²2C. O4.767 m/s^D. 03.199 m/s²E. 01.318 m/s²M

MINECRATHI CHASE NOZaland NorthINVATAE 098 Ms5 An Object Of Mass 12 Kg Is Being Pulled On Afriction Less Horizontal Surface By Means Of Twostrings One Of The St class=

Sagot :

[tex]D)1.913\text{ }\frac{m}{s^2}[/tex]

Explanation

Step 1

Diagram and free body diagram

F.B.D

Step 2

Newton's second law states a force applied to an object at rest causes it to accelerate in the direction of the force

hence, for the x -axis ( axis of the motion) we have

[tex]\begin{gathered} 24cos40+20=ma \\ 18.38+20=12a \\ 38.28=20a \\ divide\text{ both sides by 202} \\ \frac{38.28}{20}=\frac{20a}{20} \\ 1.913\text{ }\frac{m}{s^2}=a \end{gathered}[/tex]

so,the answer is

[tex]D)1.913\text{ }\frac{m}{s^2}[/tex]

I hope this helps you

View image LakaylaA368911
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