Please answer and explain number 30, 23, 11, 5 (part 1), 6 (part 2), 7 (part 3), 8 (part 4), 16, and 17. Thank you!

016 (part 1 of 2) 10.0 points A uniform flat plate of metal is situated in the reference frame shown in the figure below.016 (part 1 of 2) 10.0 points A uniform flat plate of metal is situated in the reference frame shown in the figure below.012345678910 mun) Calculate the x coordinate of the center of mass of the metal plate. Answer in units of m. 017 (part 2 of 2) 10.0 points If the mass of the plate is 4 kg, nd the moment of inertia of the triangle with the y-axis as the axis of rotation. Answer in units of kg - m2. 011 lU.U points A uniform rod of mass 3.2 kg is 3 m long. The rod is pivoted about a horizontal, frictionless pin at the end of a thin extension (of negligible mass) a distance 3 m from the center of mass of the rod. The rod is released from rest at an initial angle of 49 with respect to the horizontal, as shown. O HBmH HBmH What is the angular speed of the rod at the inst ant the rod is in a horizontal position? The acceleration due to gravity is 9.8 m/s2 and the moment of inertia of the rod about its center of mass is I = E 171,32. Answer in units of rad/s. kicked directly toward a fence from a point 20 m away, as shown below. The velocity of the ball as it leaves the kicker's foot is 17 m/s at angle of 40 0 above the horizontal. The top of the fence is 4 m high. The kicker's foot is in contact with the ball for 0.04 s. The ball hits nothing while in ight and air resistance is negligible. The acceleration due to gravity is 9.8 m/s2. Determine the magnitude of the average net force exerted on the ball during the kick. Answer in units of N. 006 (part 2 of 4) 10.0 points Determine the time it takes for the ball to reach the plane of the fence. Answer in units of s. 007 (part 3 of 4) 10.0 points Hint: Consider the diameter of the ball to be negligible. How far above the top of fence will the ball pass? Answer in units of m. 008 (part 4 of 4) 10.0 points What is the vertical component of the velocity when the ball reaches the plane of the fence? Answer in units of m/s. 30. A bullet with mass m hits a ballistic pendulum with length L and mass M and lodges in it. When the bullet hits the pendulum it swings up from the equilibrium position and reaches an angle a at its maximum. Determine the bullet's initial velocity before it hits the block given m=20 g M: 4 kg L=2m g: 9.8 mlsz a = 6 deg. 23. A hockey puck with mass 0.200 kg traveling east at 10.0 m/s strikes a puck with a mass of .250 kg heading north at 20 m/s and stick together. What is the magnitude of the .250 kg puck's velocity after the collision