Aln) 7.5 kg mass rests on a frictionless table. A string from this mass goes acr

Question

Aln) 7.5 kg mass rests on a frictionless table. A string from this mass goes across a pulley and is attached to a(n) 13 kg mass hanging over the side of the table. Find the tension in the string and the acceleration of each mass. (Answer with the magnitude of the acceleration for either mass.) 6. tension a. 57.30 N b. 36.73 N C. 46.61N d. 40.01 N e. 51.79 N f. 54.13 N 7. acceleration a. 6.315 m/s b. 7.399 m/s c. 5.952 m/s d. 6.215 m/s e. 5.651 m/s f. 7.746 m/s YGYM Objects 1 and 2 are connected by a string, as shown. They are moving toward the right, and the string remains taut. The applied force is F -35,N. Additional information is given in the table. Find the acceleration ax of each object and the tension T in the string. Assume the positive direction is toward the right. Friction Coefficient 0.14 0.21 Object Mass 4.9.kg 11.kg 7m mi 8. acceleration a a. 0.2396,m/s b. 0.406 m/s C. 0.3411 m/s d. 0.3522 m/s e. 0.3547 m/s f. 0.4211,m/s 9. tension T a. 16.81,N b. 51.49 N c. 26.54 N d. 26.41,N e. 51.78.N f. 22.51 N

Explanation / Answer

6] Let tension be T and acceleration be a,

Writing force equation on the two blocks ,

T = m1a

m2g - T = m2a

adding both equations, m2g = (m1+m2)a

a = m2g/(m1+m2) = 13*9.8/(7.5+13) = 6.215 m/s^2

T = m1g = 7.5*6.21 = 46.6 N answer option c

7] a = 6.215 m/s^2

option d is correct, found above

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