For the vector a = ya, + 5a 2. express a in spherical coordinates, both amplitudes and directions. factor the expression and group the like unit vector terms. a. b. for the point p,= (x, yb , 2b ) ( 4,0,0), what are the corresponding spherical coordinates ph (r, p.b)? using your spherical expression for a from (a) and spherical coordinates for p from (b), evaluate the value for a (should be expressed using spherical unit vectors). d. for the point pa = (xa, ya, za) = (3,3,0), what are the corresponding spherical coordinates pa (ra. 0a.9a)? using your spherical expression for a from (a) and spherical coordinates for pa from (d), evaluate the value for a (should be expressed using spherical unit vectors) c.

note: the given question is incomplete.

complete question is given below.

which is an example of kinetic energy?

a. the energy stored in ethanol  

b. a hockey puck sliding across the ice  

c. a compressed spring  

d. a ball sitting at the top of a ramp

solution: the kinetic energy is the energy posses by the virtue of the motion of the object.

in the given options, a, c and d are the example of potential energy because it is the energy posses by the virtue of the rest of the object. but option b has the kinetic energy as the object is in motion.

hence, a hockey puck sliding across the ice   is the apex example of kinetic energy.

so, the option (b) a hockey puck sliding across the ice   is the correct option.