Two horses are pulling a barge with a mass 2000 kg along a canal. the cable connected to the first horse makes an angle of θ1= 40 o with respect to the direction of the canal, while the cable connected to the second horse makes an angle of θ2= -20o . find the acceleration of the barge (magnitude and direction), starting at rest, if each horse exerts a force of magnitude 600 n. ignore forces of resistance.

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.