An interstellar space probe is launched from earth. after a brief period of acceleration it moves with a constant velocity, 70.0% of the speed of light. its nuclear-powered batteries supply the energy to keep its data transmitter active continuously. the batteries have a lifetime of 15.9 years as measured in a rest frame. (a) how long do the batteries on the space probe last as measured by mission control on earth?
yr
(b) how far is the probe from earth when its batteries fail, as measured by mission control?
ly
(c) how far is the probe from earth, as measured by its built-in trip odometer; when its batteries fail?
ly

The passing of heat through a material while the material itself stays in place. a. radiation b. conduction c. convection

Which statement is true? a. kepler's laws apply only to the motion of earth. b. kepler's laws can be used to predict eclipses. c. kepler's laws are true for a central force that is directly proportional to distance. d. kepler's laws can be deduced from newton's laws of motion and gravity.

Alinearly polarized electromagnetic wave has an average intensity of 196 w/m^2. this wave is directed towards two ideal polarizers (in real polarizers, transmission is also effected by reflection and absorption). polarizer a is oriented with its transmission axis at an angle of θ_1=20.8∘ with the incident electric field. polarizer b has its axis at an angle of θ_2=63.0∘ with the incident electric field. what is the average intensity of the wave after it passes through polarizer a? what is the average intensity of the wave after it passes through polarizer b? suppose that the two polarizers a and b are interchanged. what would the average intensity be after passing through both polarizers?