A five kilogram block and a four kilogram block are placed at either end of a co

Question

A five kilogram block and a four kilogram block are placed at either end of a compressed spring. The system is initially at rest, and then released. If the four kilogram block moves off at 4 meters per second in the +x direction, what is the velocity- of the other From the side of a ship, a 1000 kg cannon fires a 6 kg bail horizontally with an initial velocity of 250 m/s. What is the recoil velocity of the cannon? Two balls collide totally elastically. One ball has a mass of 4.2 and initially travels to the right at 3.4 m/s. The other ball has a mass of 2.7 kg and travels to the left with a velocity of 8.4 m s. Find the final velocity of each ball if the collision is head on (1-D). An asymmetric dumbbell is mounted so it can rotate in a vertical plane about an axis. A 1.4 kg mass is located at the end of a 1.0 meter length of the shaft (of negligible A 1.0 kg mass is attached to a .7meter length of the shaft as pictured. The assembly is tilted at 30 degrees as shown. Find the total torque about the axis of rotation, the moment of inertia of the system and the angular acceleration (specify magnitude and clockwise or counterclockwise).

Explanation / Answer

question (1)

initial momentun = pi = 0

final momentum = m1 v1 + m2 v2

conseravion of momentum >>>> pi = pf

>>>> m1 v1 + m2 v2 = 0

>>>> 4 * (+4) + 5 v2 = 0

>>>> 16 + 5 v2 = 0

>>>> v2 = -16/5

>>>> v2 = -3.2 m/s

question (2)

v1f = (m1-m2)/(m1+m2) v1i + (2m2)/(m1+m2) v2i

v2i = 0

therefore:

v1f = (m1-m2)/(m1+m2) v1i = (1000-6)/(1000+6) * 250 = 247 m/s

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