2. (15 points) A dust speck (m = 1 ng) travels horizon- tally at speed u until it hits an ice cube of mass M = 1g
that is sitting at rest on a horizontal frictionless surface.
Having absorbed the dust speck, the ice cube proceeds
to travel horizontally with speed v = 3 ms-1.
What was the initial speed, u, of the dust speck?

Hints: (1) 1 ng = 10-9g. (2) See if you can figure out
why Newton would have gotten this question wrong.
What is the relativistic momentum? Do you need it for
the ice cube? How about the speck of dust?
U

Power can be defined as a. the distance over which work was done. b. how much work can be done in a given time. c. all the work in an given area. d. the energy required to do work.

Acylinder with a movable piston contains 11.7 moles of a monatomic ideal gas at a pressure of 1.32×10^5 pa. the gas is initially at a temperature of 300 k. an electric heater adds 43200 j of energy into the gas while the piston moves in such a way that the pressure remains constant. cp=20.79 j k^−1 mol^−1 for a monatomic ideal gas, and that the number of gas molecules is equal to avogadro's number (6.022×10^23) times the number of moles of the gas. (a) what is the temperature of the gas after the energy is added? (b) what is the change in volume of the gas? (c) how much work is done by the gas during this process?

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