Al K. answered • 11/06/15

Tutor

4.5
(2)
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/s

^{2 in the direction of motion (downwards).}