
Al K. answered 11/06/15
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25 years of teaching algebra and calculus
Block mass is M = 4.29 kg, hanging mass m = 3.61 kg.
Since the surface of the table is smooth, the system (m+M) will move with acceleration a.
According to Newton's second law
Σ F= (mass)(acceleration)
T- T + (mg) = (m+M)a
Which means:
The tension of the rope in the system in the x direction cancels with the tension vertically:
T-T +3.61 g = ( 3.61 + 4.29) a
(3.61) (9.8) = 7.9 a
a= 35.38/7.9 =
a = 4.48 m/s2 in the direction of motion (downwards).