At its ames research center, nasa uses its large "20-g" centrifuge to test the effects of very large accelerations ("hypergravity") on test pilots and astronauts. in this device, an arm 8.84 m long rotates about one end in a horizontal plane, and the astronaut is strapped in at the other end. suppose that he is aligned along the arm with his head at the outermost end. the maximum sustained acceleration to which humans are subjected in this machine is typically 12.5 g. how fast must the astronaut's head be moving to experience the maximum acceleration?

v=32.9m/s

Explanation:

The acceleration needed to mantain a circular motion of radius r and speed v is given by the equation

This is the centripetal acceleration. The person will feel what is called a centrifugal acceleration, of the same value, because he is not in an inertial frame (thus subject to fictitious forces, product of inertia).

We want to know the speed of his head when it is subject to 12.5 times the value of the acceleration of gravity while moving on a 8.84m radius circle, so we must do:

molecules are free to separate from each other and will take on the shape of the container. molecules move completely at random and high speeds. they vibrate in a fixed position and do not move around much. molecules expand to the edge of their container.

get the total number of pieces of fruit and divide it by 4 to get the average. the result is the answer to the problem. 14 total number of fruits and there are 4 members. 14 divided by 4 is equals to 3.5.