A 262N crate resting on a plane inclined 23-degrees with the horizontal requires a 24.6N force to bring it down to 7.2m from its initial position. The force is applied 58-degrees with respect to the horizontal. Neglecting friction between the crate and plane, determine the time (in seconds) that the crate had travelled a distance of 7.2m. Answer in two decimal places. Numerical values only. Don't indicate units here, just on the submitted solution.

For the vectors shown in the figure, find the magnitude and direction of the vector product A C. B' 6. 70° 40° 8. 48, directed out of the page 45. directed out of the page O 16. directed out of the page O 48, directed into the page O 45, directed into the page ) 16, directed into the page

Two points are given in polar coordinates by (r, 8) = (1.20 m, 50.0°) and (r, 0) = (4.00 m, -42.0°), respectively. What is the distance between them? m

Let the x-, y-, and z-axes be identified as axes 1, 2, and 3, respectively. Find the angle between A and axis 2 if A=0.17, Ay = 2.76, and A₂ = 2.98. [Hint: Write the unit vector in the direction of axis 2 and use A. B = A₂ B₂ + A, B, + A₂B₂ = AB cos 1 Φ Record your numerical answer below, assuming three significant figures. A