A3.0 cm object is 12.0 cm from a convex mirror that has a focal length of 20.0 cm. what is the distance of the image from the mirror? what is the height of the image?

Given conditions for question 2:

height of object = 3.0 cm

distance of object from mirror  = 12 cm

focus length = 20 cm

image distance =  ?

Using mirror formula: 

1/(focus length) = 1/(object distance) + 1/(image distance)

or, 1/20 = 1/12 + 1/(image distance)

or, image distance = -30cm (the image formed is a virtual image)

Also, magnification of image is:

image height /height of object = - image distance /object distance

or, image height = - image distance / object distance * height of object

or, image height = -(-30) / 12 * 3 = 7.5

a high pressure system is a dense air mass that is usually cooler and drier than the surrounding air. a low pressure system is a less dense air mass that is usually wetter and warmer than the surrounding air.

in general, areas that experience high atmospheric pressure also experience fair weather. low pressure systems can cause the formation of clouds and storms. air usually flows from areas of high pressure to areas of low pressure..

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s