A woman wishing to know the height of a mountain measures the angle of elevation of the mountaintop as θ1 = 11.6°. After walking d = 0.81 km closer to the mountain on level ground, she finds the angle to be θ2 = 13.7°. a. Draw a picture of the problem, neglecting the height of the woman's eyes above the ground. b. Select variable names for the mountain height (suggestion:y) and the woman's original distance from the mountain(suggestion: x) and label the picture. (Do this on paper. Your instructor may ask you to turn in this work.)c. Using the labeled picture and the tangent function, write two trigonometric equations relating the two selected variables. (Dothis on paper. Your instructor may ask you to turn in thiswork.)d. Find the height y of the mountain by first solving one equation for x and substituting the result into the other equation.

An isolated conducting spherical shell carries a positive charge. part a which statement (or statements) about the electric field and the electric potential inside and outside the spherical shell is correct? which statement (or statements) about the electric field and the electric potential inside and outside the spherical shell is correct? electric potential inside the shell is constant and outside the shell is changing as 1/r2 both the electric potential and the electric field does change with r inside and outside the spherical shell electric potential inside and outside the shell is constant, but not zero electric potential inside the shell is constant and outside the shell is equal to zero electric field inside and outside the shell is constant (does not change with the position r), but is not equal to zero electric field inside and outside the shell is changing as 1/r (where r is the distance from the center of the sphere) electric field inside is equal to zero and outside the shell is constant, but not zero electric potential inside the shell is constant and outside the shell is changing as 1/r electric field inside and outside the shell is changing as 1/r2 electric field inside is equal to zero and outside the shell is changing as 1/r2 electric field inside and outside the shell is zero electric field inside is constant and outside the shell is changing as 1/r

The total amount of energy contained in an object

Suppose that a mass of 2 kg is attached a spring whose spring constant is 50. the system is damped such that b = 12 . the mass is set in motion with an initial velocity of -8 m/s at a position 0 meters from equilibrium. set up and solve a differential equation that models this motion. write your solution in the form a cos ( ω t − α ) where α is a positive number. use your solution to fill in the information below: what is the amplitude of the motion? what is the value of ω ? what is the phase shift?