Suppose you wanted to "pull an Einstein," and create a static universe  in which the gravitational attraction of matter is exac
tly balanced by the gravitational repulsion of dark energy with equation-of-state parameter − 1/ 3 < wq < − 1 and energy density εq.
What is the necessary matter density (εm) required to produce a static universe, expressed in terms of εq and wq?
Will the curvature of this static universe be negative or positive?
What will be its radius of curvature, expressed in terms of εq and wq?
What is the necessary matter density (εm) required to produce a static universe, expressed in terms of εq and wq?
Will the curvature of this static universe be negative or positive?
What will be its radius of curvature, expressed in terms of εq and wq?
2 answers:
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Answer:
The coefficient of static friction between the puppy and the floor is 0.7273.
Explanation:
The horizontal force applied to move the puppy from a steady state has to be greater than the force of static friction, after it is moving the force needs to be equal to be greater than the force of dynamic friction in order to maintain its movement. The force of static friction is given by:
Where is the static friction force,
is the coefficient of static friction and
is the normal force. Since there's no angle on the flor the normal force is equal to the weight of the puppy, therefore,
, to make the puppy moving we need to use a force of 80 N, therefore,
, so we can solve for the coefficient as shown below:
The coefficient of static friction between the puppy and the floor is 0.7273.