Imagine designing an experiment to determine the mass of an unknown object by attaching it to a spring, setting it in motion, and observing how fast it vibrates. Assume that you know the spring constant k, and that you can ignore the effects of damping. Derive a formula for finding the mass of an object given the spring constant, k, and the oscillating frequency, f0. Explain how you derived your formula.

Ateam of astronauts is on a mission to land on and explore a large asteroid. in addition to collecting samples and performing experiments, one of their tasks is to demonstrate the concept of the escape speed by throwing rocks straight up at various initial speeds. with what minimum initial speed vesc will the rocks need to be thrown in order for them never to "fall" back to the asteroid? assume that the asteroid is approximately spherical, with an average density p 3.84 x108 g/m3 and volume v 2.17 x 1012 m3 recall that the universal gravitational constant is g 6.67 x 10-11 n m2/kg2

Determine the maximum r-value of the polar equation r =3+3 cos 0

If the force applied to an object remains constant, is more power needed for the object to move faster ? explain