A turntable has a moment of inertia of 0.050 kg* m2 and rotates continuously with an kinetic energy of 0.040 J. How much time (in s) does it take the turntable to complete a revolution?

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?

An 80.0 kg person weighs 70.0 N when completely submerged underwater (ρ w = 997 kg/m3). What is their average density (in kg/m3)?

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?

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An elevator ascends at a constant speed of 9.4 m/s when powered with 120 kW from a motor. What is the mass (in kg) of the elevator?

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)?

An object explodes from rest into 3 pieces. The first piece launches at 4 m/s, 60 north of east. The second piece, which is twice as massive as the other two, launches at 3 m/s directly west. What is the direction of motion (in degrees from east) of the third piece that is equal in size to the first piece?

Explain briefly concept of bioinspired capillary-driven pump for solar vapor generation.

What are the two main ways to achieve anti-adhesion on surfaces?  Briefly explain each.