Avector has a magnitude of 10.0 centimeters and makes an angle of 60.0 degrees with the horizontal axis. what are the magnitudes of its horizontal and vertical components?

The length of the vector is 10.0 centimeters.

Vertical component:

(Ry) = R sin  

= (10.0)(sin 60°)

= 8.7 cm

Horizontal component:

(Rx) = R cos  

= (10.0)(cos 60°)

= 5.0 cm

Any vector can be written as components along positive X and positive Y axes.

So vector A can be written as , where is the angle between vector A and positive X axis

So vector A =

So components of vector B along X -axis =5 cm

                                              along Y-axis = 8.667 cm

force is mass*acceleration.

we have a very small mass: 11.4*0.001 kg

if we want 0.035n of force, we need an acceleration:

0.035 = 11.4*0.001*a

a = 0.035/(11.4*0.001) m/s^2