The entrance of a science museum features a funnel into which marbles are rolled one at a time. The marbles circle around the wall of the funnel, eventually spiraling down into the neck of the funnel. The internal radius of the funnel at the top is 0.50 m. At the bottom, the funnel’s neck narrows to an internal radius of 0.041 m. A 5.5 × 10−2 kg marble begins rolling in a large circular orbit around the funnel’s rim at 0.27 rev/s. If it continues moving in a roughly circular path, what will the marble’s angular speed be as it passes through the neck of the funnel? (Consider only the effects of conservation of angular momentum.) Answer in units of rad/s.

multiply 2kg by latent heat of vap

a.) travels faster in solids because the particles are closer together.

air is a gas water is a liquid

the maxium height is 34m/s

the following is queen elizabeth’s purposes:

- to encourage the parliament that the technique of picking successors to the seat based merely on birthright needs to be reviewed.

- (not) to convince the parliament that her kid should not be measured as a likely choice for heir to the english power.

- to persuade the parliament that merely since she has a child does not assure that the kid will be a capable leader.

- to sway the parliament how shattering it could be if they proceeded discourteously concerning her or her child.