Aplanet orbits a star, in a year of length 2.27 x 107 s, in a nearly circular orbit of radius 3.99 x 1011 m. with respect to the star, determine (a) the angular speed of the planet, (b) the tangential speed of the planet, and (c) the magnitude of the planet's centripetal acceleration.

Explanation:

It is given that,

Radius of circular orbit,

Time taken,      

(a) Angular speed of the planet is given by :

(b) The tangential speed of the planet is given by :

v = 110124 m/s

(c) The centripetal acceleration of the planet,

Hence, this is the required solution.

potential energy is directly proportional to height.

more height = more potential energy.

greatest increase in height = greatest increase in potential energy

where are the points with the greatest increase in height ?

has to be c-e or d-e .

answer: a) y=-8x+5

a) m= -8

b) m= -2

c) m= 7

d) m= 6