A picture hangs evenly from two wires of equal length. The wires each make an angle of 45 degrees with the ceiling. If the mass of the picture is 6 kg, what is the tension force on each wire? Report your answer to 3 decimal places. Do not include the units in your answer or the computer will mark the problem wrong.

Aparticle's position is given by x = 3.00 - 9.00t + 3t2, in which x is in meters and t is in seconds. (a) what is its velocity at t = 1 s? (b) is it moving in the positive or negative direction of x just then? (c) what is its speed just then? (d) is the speed increasing or decreasing just then? (try answering the next two questions without further calculation.) (e) is there ever an instant when the velocity is zero? if so, give the time t; if not, answer "0". (f) is there a time after t = 3 s when the particle is moving in the negative direction of x? if so, give the time t; if not, answer "0".