An alpha particle collides with an oxygen nucleus, initially at rest. the alpha particle is scattered at an angle of 42.0° above its initial direction of motion, and the oxygen nucleus recoils at an angle of 49.0° below this initial direction. the final speed of the oxygen nucleus is 1.60×10^5 m/s. (the mass of an alpha particle is 4.0 u, and the mass of an oxygen nucleus is 16 u.) what is the final speed of the alpha particle?

Review multiple-concept example 7 in this chapter as an aid in solving this problem. in a fast-pitch softball game the pitcher is impressive to watch, as she delivers a pitch by rapidly whirling her arm around so that the ball in her hand moves in a circle. in one instance, the radius of the circle is 0.626 m. at one point on this circle, the ball has an angular acceleration of 66.1 rad/s2 and an angular speed of 12.6 rad/s. (a) find the magnitude of the total acceleration (centripetal plus tangential) of the ball. (b) determine the angle of the total acceleration relative to the radial direction.