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this problem. We have given a 50 kgs. Cattle is traveling New East, you know this is east, west, north and south. 50 kg scatter is traveling New East Well, this is 50 Guineas cattle. It is strolling New East with the speed 30 winter purse again and another 70 egotistic scatter is moving new South in this direction. 70 kg scatter is moving due south with the speed 7 m per second, right the collide and hold on to each other after the coliseum managing to move off at an angle theater south of east after collision after collision, they hold on to each other and it is moving totally agree South of east. Suppose they have final velocity. We finally right. That means this velocity has two components, one in why direction, which is the final science theater and one in East direction, which is the final cost theater. So here we will use conservation of momentum, consideration of momentum. First, we will conserve momentum in east west direction. So initially we have given the moment down of 50 kg Skater is mass into velocity, which is 30. Is it cool to final momentum in east west direction is total mass 50 plus 17 into the final cost heater. So from here we can write. This is a question number one Now we will conserve momentum in north south direction. So initially, in north south direction, there is no momentum. This will be called to zero. Sorry. Initially there is momentum due south because of this is scattered 70 kg. So this will be equal to 70 into seven and the direction of is a downward. So I take negatively after collision. That's when we called to 70 plus 50 the final science theater again. It isn't downward direction, so I take negative side. So from here we can write we final scientists as a call to 17 to 7, divided by four 70 plus 50 which is 1 20. I suppose this is a question number two. Now we will solve a question number one and the question number two a question number one is the final cost hater is a call to 15 to 30 mhm divided by 70 plus 50 which is 1 20. This is one day now We will mhm solve these two equations to divide by one time. This is equal to 10 ft. I will be equal to 17 to 7. Divided, right, 15 to therapy. So right, This will be equal to 49 by 1. 50. This is Stan to So theater will be accorded to 10 Universe 49 by 1. 50. This is equal to if you saw single is according to 18 point 09 degree. Right. So from here we can find the final final velocity will be equal to we. Final cost data is equal to 15 to 30. They were very 1 20. So this will be equal to 25 to 12.5 by cost theater. This is the final. So this will be called to 12.5 costs of three tiles, 18.9 So this is a call to 12.5, divided by course of 18.9 This is a cool do. 13.15 m per second. This is the final speed, and the angle is 18 point because you're a nine degree
