I have a single plank of wood that is 6 meters long, and a rock I can use as a fulcrum. I make a lever with a mechanical advantage of 2. I place an 80N bottle on the output end of this lever. With how much force will I have to push on the input end in order to lift this bottle?
Draw and label a diagram that shows this lever. Label the input and output arms, as well as the fulcrum. Draw the 80N bottle on the output arm.

Under conditions for which the same room temperature is maintained by a heating or cooling system, it is not uncommon for a person to feel chilled in the winter but comfortable in the summer. provide a plausible explanation for this situation (with supporting calculations) by considering a room whose air temperature is maintained at 20â°c throughout the year, while the walls of the room are nominally at 27â°c and 14â°c in the summer and winter, respectively. the exposed surface of a person in the room may be assumed to be at a temperature of 32â°c throughout the year and to have an emissivity of 0.90. the coefficient associated with heat transfer by natural convection between the person and the room air is approximately 2 w/m2 â‹…â‹… k. what is the ratio of the thermal resistance due to convection to the thermal resistance due to radiation in the summer? what is the ratio of thermal resistances in the winter

(1 point) match the differential equations and their vector valued function solutions. you may wish to multiply at least one solution out fully, to make sure that you know how to do it. you can get the other answers quickly by process of elimination and just multiply out one row element.

Suppose a comet has an orbital period of 309.1 years around the sun. what is it’s average distance from the sun?