Question

) Biological Tug of War. Mitosis is the normal process by which a cell nucleus divides. During this division, a spindle is built by the cell and acts to align and stretch duplicated sister chromosomes (chromatids) before they are segregated into daughter cells. Say the spindle is subjecting a chromatid to 2 tension forces, Ti = 4.50 pN at -35.0° and T2 = 5.10 pN at 170°, where the magnitude of the forces are given in picoNewtons (1 picoNewton = 1 PN = 10-12 N). a) Assuming that these two tensions are the only forces acting on the chromatid, what is the magnitude and direction of the net force on it? Express the direction as an angle measured counter-clockwise from the positive x-axis. (6) b) If the chromatid has a mass of 2.10 x 10-14 kg, what is the magnitude and direction of its acceleration? (2) c) If a third force T, were present, what would its magnitude and direction need to be in order for the chromatid to be in equilibrium? (2)

Answer 1

A handwritten solution for this question is given below

120 Let, the resultant - X Ti TK TENT + T. + 27,1, Cos ( 2) 155 - 40 2.16 PN T = 4.50 T = 5.10 angle with ( 4.50 sin 155 T₂ = 0 = tan! ( 5.1 +4.50 Cos 155 = 61.76 angle with + Xaxis (170 + 61.16) - 231.47 2.16 x 10 12 acceleration 2.18 10-14 = 102.9 m/s~ Towards (T) ③ -12 To should te opposite to T magnitude of T3 = 2.16 PN = 2.16x102N angle with && axis - 231.7°– 180º = 51.7"

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