Ameter stick is rotated about the end labeled 0.00 cm, so that the other end of the stick moves through an arc length of 8.85 cm. through what arc length s does the 25.0-cm mark on the stick move?

2.215 cm

Explanation:

length of stick (L) = 1 m

length of arc by the 1 m stick (La) = 8.85 cm = 0.885 m

Through what arc length does the 25.0-cm (0.25 m) mark on the stick move?

from the attached diagram:

OA = length of the stick = 1 m

OC = mark on stick = 0.25 m

AB = length of arc by the full stick length = 0.885 m

CD = length of arc by the 25 cm mark =?

length of an arc = radius x θ  (θ is the angle and radius is the length of the stick in this case)

therefore

AB = OA x θ

θ = AB / OA = 0.0885 / 1 = 0.885 rad

also

CD = OC X θ

CD = 0.25 X 0.0885 =0.02215 m = 2.215 cm

the correct answer is b

answer: the metamorphic rocks are formed when they are exposed to high pressure and high temperatures. this happens when one of the earth's plates comes in contact with the other plate by traveling in opposite directions, straight into each other or slipping under one another. the friction that is caused by this activity results in   melting of rocks and when it cools they are known as metamorphic rocks. this process needs a controlled amount of pressure and temperature otherwise it may turn into magma.