Find the center of mass of a sphere of mass M and radius R and a cylinder of mass m, radius r, and height h arranged as shown below. Express your answers in a coordinate system that has the origin at the center of the cylinder. (Assume that the +x-axis is to the right, the +y-axis is up along the page, and the +z-axis is out of the page. Use any variable or symbol stated above as necessary.) a) xCM=___, yCM=___, zCM=___ b) xCM=___, yCM=___, zCM=___

help please.  If a 1467 kg car, moving at 9 m/s north, hits and sticks to a 2237 kg truck, moving at 10 m/s south, and they travel off together at the same speed, find that speed. Hint: here the masses are moving in opposite directions, so the velocities should have opposite signs. Call North positive and South negative. Use the "hit and stick" or inelastic formula Also, a positive answer would indicate motion to the north and a negative answer would show southward motion - leave positive/negative in your answer.

A B C

A cube of side a is cut out of another cube of side b as shown in the figure below. b a Find the location of the center of mass of the structure. (Use any variable or symbol stated above as necessary. Hint: Think of the missing part as a negative mass overlapping a positive mass. Assume the origin is in the bottom left corner shared by both cubes, and assume all values are positive with the x-axis to the right, the y-axis extending back into the page parallel to the sides of the cube, and the z-axis pointing up along the page.) XCM Усм = = ZCM

Do as instructed:a. Simulate m1 = m2 with their respective velocities v1 = v2. Take a screenshot of the simulation. Explain the collision, reaction, and motion of the two masses.Here is the direct link to the simulator -  https://ophysics.com/e2.html

Find the center of mass of a sphere of mass M and radius R and a cylinder of mass m, radius r, and height h arranged as shown below. Express your answers in a coordinate system that has the origin at the center of the cylinder. (Assume that the +x-axis is to the right, the +y-axis is up along the page, and the +z-axis is out of the page. Use any variable or symbol stated above as necessary.) (a) XCM = YCM = ZCM = (b)

Suppose that for the couple in the figure below, you were told that the girl's mass was one-half that of the boy's mass. The boy has a velocity of v = 0.38 m/s to the left. What would be the girl's velocity in this case? (Consider the ice to be frictionless. Enter the magnitude only.)   Two ice skaters, a boy on the left and a girl on the right, face each other in figures a and b, which depict, respectively, before and after pushing off from each other. Before: The two ice skaters face each other with the palms of their hands facing towards each other and touching the other person's palms. After: The two ice skaters have pushed off and now have their arms outstretched facing each other. A left-pointing arrow above the left skater is labeled "v". A right-pointing arrow above the right skater is labeled "?".

Please answer fast

Please explain your answer.

In order to answer this question, follow the steps provided and remember that the total initial momentum of the system must equal the total final momentum. Also, remember that momentum and velocity are vector quantities so you must specify a negative sign if the motion is to the left. A green truck of mass 2500 kg travels to the right with a velocity vig = 3.7 m/s. The green truck approaches a red truck with mass 1460 kg that is traveling to the left with a velocity of vir = -3 m/s. The trucks collide and stick together after the collision. What is the final velocity, vf of the green-red truck system after the collision. (look at the figure/picture)(a) What was the initial momentum of the green truck before the collision?pgi = 9250 kg m/s(b) What was the initial momentum of the red truck before the collision?pri = -4380 kg m/s(c) What was the total initial momentum of the system of trucks?pTf = 4870 kg m/s (d) What must be the total final momentum of the system after the collision if…