It takes a person one half hour to run 6 kilometers at a constant rate along a straight-line path. what is the velocity of the person?

An ideal otto cycle has a compression ratio of 10.5, takes in air at 90 kpa and 40°c, and is repeated 2500 times per minute. using constant specific heats at room temperature, determine the thermal efficiency of this cycle and the rate of heat input if the cycle is to produce 90 kw of power.

Two identical stars with mass m orbit around their center of mass. each orbit is circular and has radius r, so that the two stars are always on opposite sides of the circle. (a) find the gravitational force of one star on the other. (b) find the orbital speed of each star and the period of the orbit. (c) how much energy would be required to separate the two stars to infinity?

The following statements are about the electroscope. select all that are true. if an electroscope were given a positive charge beforehand, the leaves would move closer together if a positively charged object were brought near. when a properly prepared electroscope is used to determine the type of charge on an object, the total charge on the electroscope changes when the charged object is brought near (but not touching) the electroscope. depending on how the electroscope is prepared beforehand, the leaves can either move together or move apart when negative charge is brought near. an electroscope must first be given a known type of charge before it can be used to identify the types of charges on objects brought near it. when properly prepared, the leaves on an electroscope will always move further apart when negative charge is brought near. the leaves of an electroscope will move apart if it is given either a positive or a negative charge.