A block of 9.0 kg is attached to three springs through a mas…

A block of 9.0 kg is attached to three springs through a mass-less bar as shown above. The springs have spring constants of k1, k2, and k3 of 120 N/m, 240 N/m, and 360 N/m, respectively .  If the block is shifted by 6.0 cm and let go, what is the frequency (in Hz) of this simple harmonic oscillator?

A pipe with water flowing through it has a rectangular cross…

A pipe with water flowing through it has a rectangular cross-section of length, L, and width, W. It encounters another rectangular pipe with one-third of its original length but twice the width.  What is the ratio of velocity in the second pipe compared to the first pipe?

A block of mass 780 g is resting between two edges with empt…

A block of mass 780 g is resting between two edges with empty space between them as shown above. A 24.0 g bullet is shot underneath the block at an unknown speed and goes through the block, leaving at 60.0 m/s.  The block then “jumps” to a height of 42.0 cm as a result.  What was the speed of the bullet (in m/s)?