Certain neutron stars (extremely dense stars) are believed to be rotating at about 1.1 rev/s. If such a star has a radius of 17 km, what must be its minimum mass so that material on its surface remains in place during the rapid rotation? Number IN i Units

Which of the following statements are correct? Adding two vectors creates a new "resultant" vector. When adding parallel vectors, the resultant vector is the sum of the magnitudes of the original vectors. When adding perpendicular vectors, the resultant vector is the sum of the magnitudes of the original vectors. Graphing calculators always report angles in degrees. Vectors pointing in different direction cannot be subtracted. A vector can be broken into x and y component vectors that sum to equal the original vector. Multiplying a vector by a scalar changes the vector's magnitude and direction.

The force P of magnitude 50 KN is acting at 215° from the x-axis. Find the components of P in u 157° from x, and v negative 69°from x. (Draw the Figure)

The Maton family begins a vacation trip by driving 710 km west. Then the family drives 610 km south, 310 km east, and 410 km north. Where will the Matons end up in relation to their starting point? Give direction only, directly East is 0 degrees and the order goes counter clock wise (North is 90 degrees, West is 180 degrees, South is 270 degrees).

Let A⃗ =(9,78∘) and B⃗ =(2,289∘), where the angles are measured counterclockwise from the positive x-axis. What is C⃗ =4A⃗ +B⃗ ? Give your answer in component form. x component: y component:

Question: True or False. Why? A vector space must contain at least two vectors. My Comment: I'm confused why this is a question because I believe it to be False. If I draw one vector on a graph with the coordinates (3,5), it is taking up a vector space on an xy coordinate system. Is that incorrect?

Give a vector parametric equation for the line through the point (5, 3,0) that is parallel to the line (-3 – 4t, 5t – 2, 5 – 4t): L(t) = (Enter your answer as )

A fox leaves its den and travels 575 yeards west, then 475 yards northwest. In what direction must the fox travel to head directly back to its den? Round your answer to the nearest hundreth. Enter N for North, E for East, W for West, and S for South.

A ferris wheel has a radius of 75 feet and its center is 80 feet above the ground. You ride the wheel once around and get off. (a) Find a function that expresses your height in terms of the angle of rotation of the wheel since you boarded. Be sure to give the function a name and define its input and output (with units) in complete sentences. Include the function's domain. Explain your reasoning clearly. (b) When you are 108 feet above the ground for the second time, the wheel comes to a stop. It then turns through a small angle and stops again. Ap- prorimate the change in your height in terms of this small angle of rotation. Be sure to define these changes precisely and to erplain your logic. (c) Suppose the wheel turned through an angle of 2° as described in part (b). Use your result of part (b) to approximate the change in your height. Include units at each step and for each number in the computation. Craft your response to this question in the form of a letter to a friend.…

Two plane polar coordinates have the coordinates (2.2,48.3 °) and (4.6,10.50 ), calculate the distance between.