A merry-go-round is composed of an inner disk of mass M1 radius R1 = 2 m and an outer disk of mass M2 = 2000 kg and radius R2 = 5 m. Three passengers, each of mass m = 70 kg (represented by solid black dots) sit along the outer edge of the merry-go-round as shown in the figure below. = 1000 kg and R2 Figure 2: Setup for question 2 (a) What is the position vector of the center of mass of the merry-go-round and its passengers? (b) The motor of the merry-go-round begins to apply a torque of magnitude T = 3200 Nm. How long does the merry-go-round take to reach an angular velocity of w 0.4 rad/s? (c) What is the rotational kinetic energy of the merry-go-round and its passengers at an angular velocity of w = 0.4 rad/s? (d) As the merry-go-round rotates at w = 0.4 rad/s the engine suddenly cuts out. If friction supplies a torque of magnitude Tf many revolutions does the merry-go-round complete before coming to rest? = 250 Nm, how

Please see attached image. I do not understand how to start this problem. Please explain in as much detail as possible.

Please help with parts g and h Two velocity vectors are defined as follows: v1 = 40.0 m/s, 50.0 degrees cw from the +x axis  v2 = 30.0 m/s, 75.0degrees cw from the -y axis     d) Calculate the x- and y-components of v2. Write the vector v2 in terms of its components using unit vector notation.     e) Calculate the x- and y-components of the change in velocity defined as Δv= v2-v1. Write the vector Δv in terms of its components using unit vector notation.     f) Sketch the vector Δv on an x-y grid. Define a relevant angle symbolically whose numerical value you will calculate in the next part.   g) Calculate the magnitude and direction of the vector Δv.   h) Finally, write the vector Δv in terms of its magnitude and direction.

You first walk 10 meters at an angle of 30 degrees East of North. Then,you walk 15 meters at an angle of 45 degrees South of East. Assume that East is +x and North is+y, and assume you started at the origin (0,0).   A. Make a graph with x- and y-axes and draw your path on that graph (to scale, or at least asclose as you can get). Start the first vector at the origin, and the second vector at the tip ofthe first vector. Then, draw the resultant vector (their sum).   B. Break each part of the walk into their x- and y-components and then sum them to get thex- and y-components of the resultant vector. Make sure to include units and unit vectors.     C. What is your displacement from where you originally started?   D. If the whole walk took 40 seconds, then what was your average velocity