Problem 1: A .145 kg baseball pitched at 40 m/s is hot on a horizontal line back to the pitcher at 52 m/s. If the contact time of the ball with the bat is 4.7e-3, calculate the magnitude of the average force acting on the ball due to the bat.
Problem 2:A billiard ball is moving at 3.1 m/s when it hits a stationary ball of the same mass. After the collision, the second ball moves at 2.4 m/s at an angle of 60.0 deg to the original line of motion, Find the magnitude and direction of the velocity of the first ball after the collision.
Problem1) Impulse= change in momentum=m(v1-v2)=F((delta t))
The Attempt at a Solution
My attempts at a solution are shown in the jpegs, with enumerated variables and equations I've tried. As for the method behind the madness, For problem one I am going off of the face that since impulse is the change is momentum, I can obtain a value from the quantifiable values for the momenta and then set the impulse equal to F delta t isolating the force in question.
For problem 2 I am going off of the conservation of momentum in a perfectly elastic collision. I know the enter of mass are uniform and masses are the same, and then I tried solving for the components of the momenta.
These questions are from the Andes OLI Learn by Doing series.
Thank you for your assistance