Question
Show all Work and show formulasused! An 8.00 kilogram ball is fired horizontally from a 1.00 x103 kilogram cannon initially at rest. After having beenfired, the momentum of the ball is 2.40 x 103 kilogram xmeters per second east. (neglect friction.) a) Based on the given information, calculate the magnitude ofthe cannon's ve;ocity after the ball is fired. (Show all work,including the equation and substitution with.) b) Based on the given information, identify the direction ofthe canno's velocity after the ball is fired. Show all Work and show formulasused! An 8.00 kilogram ball is fired horizontally from a 1.00 x103 kilogram cannon initially at rest. After having beenfired, the momentum of the ball is 2.40 x 103 kilogram xmeters per second east. (neglect friction.) a) Based on the given information, calculate the magnitude ofthe cannon's ve;ocity after the ball is fired. (Show all work,including the equation and substitution with.) b) Based on the given information, identify the direction ofthe canno's velocity after the ball is fired.
Explanation / Answer
m1v1i + m2v2i =(m1 +m2)vf Since the objects start out together, and have an initialspeed of 0m/s their combined momentum is 0m/s so the equationbecomes: m1v1i =-m2v2i 8kg * 2.4 * 103m/s = -1.0 *103kg *v2i v = -19.2m/s and the direction is opposite theball. Hope that helps v = -19.2m/s and the direction is opposite theball. Hope that helps