Determine the components, the magnitude and the angle (counter-clockwise with respect to the positive x axis) of the resultant vector, R = B + C. Given: 0 Vector B: magnitude = 5.00 units, angle = 115 . 0 Vector C: magnitude = 4.00 units, angle = 255 .

Explanation:

We shall represent vector B and C in terms of i and j .

B = 5 cos115 i + 5 sin115 j

= -2.11 i + 4.53j

Similarly

C = 4 cos255 i + 4 sin225 j

= -1.04 i -3.86 j

R = B + C

= -2.11 i + 4.53j  -1.04 i -3.86 j

= -3.15 i + .67 j

magnitude of R

= √( 3.15² + .67² )

= √( 9.92 +.45 )

= 3.22

Angle Ф

TanФ = - .67 / 3.15

= - .21

Ф = - 12⁰

= 180 - 12

= 168 degree counterclockwise from positive x axis.

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.