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In: Physics

a. Two air-track gliders with equal and opposite speeds of 10.00 cm/s head toward each other...

a. Two air-track gliders with equal and opposite speeds of 10.00 cm/s head toward each other and collide, sticking together. Glider A, coming from the left, has a mass of 250.g, while glider B, coming from the right, has a mass of 500. g. What is the final velocity of the stuck-together pair, and in which direction? (The gliders are constrained to move only along the x-axis. Ignore friction.) Show your work completely

b. Using the values above (both given and calculated), find the velocity (magnitude and direction) of the system's center-of-mass twice: before the collision and after the collision. Show your work for both calculations.

c. Calculate the impulse received by glider A and glider B during the collision. For each impulse, given both the magnitude and direction. Show work

d. Show that the collision above was inelastic by calculating the total amount of kinetic energy lost by the two gliders in the collision. (In general, whenever colliding objects stick togehter, the collision is inelastic.) Show work.

e.Suppose that the same two gliders experience the same exact collision (say masses and initial velocity) but this time they have been outfitted with repulsive magnetic bumpers so that they have a perfectly elastic collision. Find the final velocities for both masses. Choose the +X direction to the right

Please do A, B, C, D and E

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