Question

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

Answer 1

`D)1.913\text{ }(m)/(s^2)`

Step-by-step 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

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

so,the answer is

`D)1.913\text{ }(m)/(s^2)`

I hope this helps you