If m1 is 24 kilograms, m2 is 12 kilograms, and mbar is 10 kilograms, what is the direction of rotation and the sign of the angular acceleration? The rotation is in the clockwise direction and the angular acceleration is positive. The rotation is in the clockwise direction and the angular acceleration is negative. The rotation is in the counterclockwise direction and the angular acceleration is positive. The rotation is in the counterclockwise direction and the angular acceleration is negative.

The work required to launch an object from the surface of Earth to outer space is given by W = F(x)dx, where R=6370 km is the approximate radius of Earth, GM, M2 F(x) = x2 is the gravitational force between Earth and the object, G is the gravitational constant, M, is the mass of the Earth, M, is the mass of the object, and the product GM, is equal to 4x 1014 m3 /s?. Answer parts (a)-(c). .... a. Find the work required to launch an object in terms of M2. The work required is W = m² /s² (Simplify your answer. Round to three decimal places as needed. Use scientific notation. Use the multiplication symbol in the math palette as needed. Type an expression using M, as the variable.)

Which of the following statements is true about the relationship between the dot product of two vectors and the product of the magnitudes of the vectors? (a) AB is larger than AB. (b) AB is smaller than AB. (c) AB could be larger or smaller than AB, depending on the angle between the vectors. (d) AB could be equal to AB.

Perform the following arithmetic operations, keeping the correct number of significant figures in your answer. a. The product 56.2 0.154 b. The sum 9.8 + 43.4 + 124 c. The quotient 81.340/

An object weighing 8 lbs hangs on the end of a spring, stretching the spring 3 inches. The object is in a medium that exerts a viscous resistance of 27 lbs when the object has a velocity of 6 ft/sec. Suppose the object is lifted an additional 8 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t) = Remember that, in imperial units, acceleration due to gravity is 32 ft/s? and that lbs are a measurement of force. Be sure to convert any measurements necessary so that the units match. Question Help: D Video D Post to forum - Submit Question

Vector A = 3 i + 3.8 j. Vector B = 5.1 i - 7.5 j. The dot product of the two is C = A ∙ B (i.e. A dot B). The value of C is:

Scalars and vectors:  Vector A has a magnitude of 9.0 and Vector B has a magnitude of 3.0. If the vectors are at an angle of 30.0º, what is the magnitude of the cross product A x B?                                                      Here are the choices:     13.5   16.2   23.4   27.0

Two vectors have a dot product of 7 m² and a cross product of magnitude 4.95 m². What is the angle between the two vectors?

The magnitude of the cross product between two vectors, one of which has magnitude 2 and another has magnitude 5, is 5.3. The angle between the vectors is acute. What is the value of the angle? Group of answer choices 45.0 degrees 57.1 degrees 22.5 degrees 32.0 degrees

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.