What is the orbital period of a comet nucleus at the inner edge of the Oort Cloud (10,000 AU)? What is its orbital velocity? Assume a circular orbit. (Hint: Use Kepler's third law . P% aAU.) (N otes: The circumference of a circle is 2m 1 AU = 1.5 × 108 km 1 day = 86,400 seconds.)

Oa. 1 million years; 300 m/s.
b. 32 million years; 400 km/s
c, 32 million years; 9 m/s. O
d. 1 million years; 110 m/s.

Which expression allows you to determine the mechanical advantage of an inclined plane? a. height of plane / input force b. length of plane / input force c. length of plane / height of plane d. height of plane / length of plane

Around faucet handle is part of a(n) a. lever b. screw c. inclined plane d. wheel and axle

Acarpenter builds an exterior house wall with a layer of wood 2.9 cm thick on the outside and a layer of styrofoam insulation 2.3 cm thick on the inside wall surface. the wood has k=0.080w/(m⋅k), and the styrofoam has k= 0.010 w/(m⋅k). the interior surface temperature is 19.0 ∘c , and the exterior surface temperature is -15.0 ∘c . a.)what is the temperature at the plane where the wood meets the styrofoam? celsius b.)what is the rate of heat flow per square meter through this wall? /m^2