Task #1Module 3 INSTRUCTIONS: You must complete the following math problems. They MUST teach the entire mathematical procedure to arrive at the result. Problems with results only will have zero points. 1. 1.What is the magnitude of the momentum of a 9.2 kg eagle flying with a speed of 89.4 m/s? 2. A constant friction force of 31 N acts on an 87 kg skier for 23 s on level snow. What is the change in speed of the skier? 3. A 0.167 kg baseball thrown at 33.1 m/s is hit in a horizontal line directly toward the pitcher at 43.7 m/s. If the contact time between the bat and the ball is 5.23x10^3 s, calculate the force (assumed constant) between the ball and the bat. 4. A 13 kg hammer hits a nail at a speed of 8.5 m/s and stops in a time interval of 7.0 ms. (a) What is the impulse given to the nail? (b) What is the average force acting on the nail? (NOTE: ms millisecond) 5. A ball of mass 0.802 kg moving east (direction +x) with a speed of 4.32 m/s collides head-on with a ball of mass 0.330 kg at rest. If the collision is perfectly elastic, what will be the speed and direction of each ball after the collision? 6. Two astronauts, one of mass 45 kg and the other of 77 kg, are initially at rest together in outer space. Then they separate. How far away are they when the astronaut light has moved 21 m