Two blocks of mass m = 2.0kg are free to move along the horizontal axis without friction. Each block is attached to a fixed point by a spring of constant kj = 40 and they are attached to each other by a spring with constant k2 = 120. The positions of the two masses are denoted by $1 and 12 respectively. This is shown in the figure below: Kz * 1 When we analyse the motion of the blocks using Newton's laws we find that d2 m- d2 m dt2 2 - -k2 (22 - 21) - k142 The two normal modes are 21 + 22 which has angular frequency wj and #1 - 22 which has angular frequency w2. 6. What is w2, the angular frequency of the mode 21 - $2? (a) 4.478-1 (b) 7.758-1 (c) 8.94s-1 (d) 10.08-1 (e) 11.8s-1 7. What happens to wj and we as k2 increases? (a) wi increases and w2 increases (b) wi increases and w2 decreases (c) wj remains constant and w2 increases (d) wi remains constant and w2 decreases (e) wi decreases and w2 increases