LAB 2

1. Two points in the æy plane have Cartesian coordinates (2.00, –4.00) m and (-3.00, 3.00) m. Determine (a) the distance between these points and Answer + (b) their polar coordinates. Answer

1) A completely full underground oil reservoir is the shape of a perfectly round disk, similar to an ordinary coin but much, much larger. The disk has radius 400[m] and thickness of 9[m]. If oil is pumped out of the reservoir at a constant rate of 333 liters/second until the reservoir is empty, approximately how long will the pumps have to run to drain the reservoir of its oil? Hint: 1 liter = 1,000[cm³]. The volume of a disk is Area * thickness. A) 1[week] B) 1[month] C) I[year] D) 10[years] E) 100[years]

1. Show that vectors a= (4.0,-1), b =(1,3,4), and c =(-5,-3,-3) form the sides of a triangle. Is this a right triangle? Calculate the area of the triangle. 2. If P1is (1,2,-3) and P2 is(-4,0,5), find • a) The distance P1P2 • b) The vector equation of the line P1 P2 • c)The shortest distance between the line P1P2and point P3(7,-1,2)

H.W: 1- Given two vectors A is 6 units long and makes an angle of 36° with the positive x-axis, B is 7 units long and is in the direction of the negative x-axis Find 1- the sum A+B of the two vectors 2- the difference A-B between the two vectors 3- the direction of the two vectors 2- Two vectors are given by A= 3i-2j and B= -i – 4j calculate 1- A+B 2- A-B 3- |A + b| 4-|A – b| 5- direction of A+B and A-B

docs.google.com a (a) A + B at P(0, 2, –5) (b) The angle between A and B at P (c) The scalar component of A along B at P aX - ay + 7az ; 143.26°, -8.789 aX - ay + 7az ; 193.26°, -10.789 aX - ay + 7az ; 143.26°, 30 aX - ay + 7az ; 98.789°, -8.789 8 نقاط In a certain region, the electric field intensity is given by (2cosp E = (20080) a, – (r sin ø)a, + (4z² cos 4) a, V/m , Find Qr 0 •..

Hi, please use the numbers that are provided in the problem to solve this for me please. Make sure you use 6.0 x 10^12 as written.

3. Watch Segment D (Vectors and Scalars), Segment E (Graphical Resolution of Vectors) and Segment F (Mathematic Resolution of Vectors) at https://www.gpb.org/physics-in-motion (The GPB Physics In Motion video series). Then write answers to the following questions, showing all your calculations. [a] A child with mass Y kilograms (kg) who is skating westward in a hockey rink at Y centimeters per second (cm/s) runs into a friend, also with mass Y kg, who is skating southward at Z cm/s. The children grab onto each other and keep moving across the ice. Draw a diagram of this interaction; label the relevant objects, quantities, and velocity vectors pre- and post- collision. Y =18 kq =mass Z=48 cm/s [b] What is the velocity (magnitude and direction) of the two children after they collide? Your answer should be significant to two digits.