Complete the table below: Vector 2 Vector 3 4 lbf Vector 1 Vector 4 Vector 5 Vector 6 -50 N 15m 2cm 5N 3 mm X-component y-component Magnitude 86.60 N 20 m 3lbf 2cm -4.20 N 3mm 100N 25m 5lbf 2.83 cm 6.53 N 4.24 mm Direction 30° W of N 53.13 N of E 36.87 N of E 45 N of E 40° s of E NE Solve what is asked: 1. What is the resultant of Vectors 1, 3 and 5? 2. What is the Vector 4 – Vector 2 + Vector 6? 3. If Vector 7 is 3i + 4j, then what is Vector 3 + Vector 7?

FIND F(S) BY THE FOLLOWING PROBLEM, STEP BY STEP i) L{e2-t A(t- 2)}

An accretion disc may form around a black hole. This is a thin disc of orbiting matter spanning radii r = Rin to Rout around the black hole. We assume that Rout » Rin and so we make the simplifying approximation that Rout → +∞o. The disc radiates according to the following equation 3 GM D(r, 0) = 1 CM (1-[B]"). 4 3 Here, r and are the usual polar coordinates with the origin at the centre of the disc. G is the gravitational constant, M is the mass of the black hole, Rin is the disc inner radius, M is the accretion rate - all these are constants. (a) Integrate D(r, 0) over the surface of the disc to find the total radiation output of the disc. (b) Find the total radiation in the case of Rin = 6GM/c².

Please answer 2B and show all work