Please explain and show your work neatly so that I can understand thank you.

44)An ice skater (m=60kg) is performing a spin with an angular velocity w = 3-, while their arms are tucked in. Next, the ice skater fully extends their arms to change the speed of rotation.A) Write down the formula for angular momentum in terms of the moment of inertia and the angular velocity. Explain why angular momentum is important in this situation. B) Assume the ice skater can be approximated by a cylinder with radius r=40cm while they are spinning with tucked arms. Calculate the angular momentum of the ice skater. Hint: Icyl = =mrz 2 C) When the ice skater extends their arms the moment of inertia increases to 12 = 10kg m. How fast is the ice skater rotating? D) If the ice skater tucks in their arms again, what will happen?30 cm 10 cm m1 m 2 45) Two masses are attached to a beam as in the diagram. The beam is in the static equilibrium. The weight of mass m1 is m1 = 2kg. We will calculate the mass m2 and the normal reaction force. a) Draw a free body diagram. b) Formulate the first equilibrium condition for this setup. c) Formulate the second equilibrium condition for this setup. d) Using the second equilibrium condition solve for m2. What is its weight? e) Using the first equilibrium condition find the normal reaction force.17) Two objects with mass m1=5 kg and m2=3 kg are connected by a light string passing over a light, frictionless pulley. The 5 kg block is released from rest at a point h=4 m above the table. (a) Draw a diagram of the Travel. (b) Determine the second stage displacement of the car in both magnitude and direction. (c) Express the second part of displacement of the car in terms of its x and y components. (d) Express the first part of displacement of the car in terms of its x and y components. (e) Express the final displacement of the car in terms of its x and y components. 18) From the window of a building, a ball is tossed with an initial velocity of 8.00 m/s and an angle of 30.0 degrees below the horizontal. Ignoring the air resistance: a) With the positive x-direction chosen to be out the window, find the x- and y- components of the initial velocity. b) Assuming the ball was tossed from a height 10m above the ground, find the equations for the x- and y- components of the position as functions of time. c) Assuming the ball strikes the ground 3.00 s later, find the initial height of the ball. d) Assuming the ball strikes the ground 3.00 s later, how far horizontally from the base of the building does the ball strike the ground? e) Assuming the ball strikes the ground 3.00 s later, find the vertical component of its velocity when it strikes the ground. 19) A jet airliner moving initially at 300 Km/h relative to the wind due east enters a region where the wind is blowing 100 Km/h in a direction 30.0 north of east. 1. Draw a diagram of the situation. 2. Find the components of the velocity vector of the jet airliner relative to the wind (Vjw). 3. Find the components of the velocity vector of the wind relative to Earth (VWE)