M is directly proportional to r squared when r=2 m=14 work out the vaule of m when r=12

Answer: 504

Step-by-step explanation:

m is directly proportional to r squared.

m = k (r) ^2 (1)

where m = 14

r = 2

k = constant of proportionality.

substituting the values into equation 1

14 = k (2) ^2

14 = k4

divide both sides by 4

14/4 = k4/4

k = 3.5

to find m, when r = 12

from equation (1)

m = k (r) ^2

m = 3.5 (12) ^2

m = 3.5 (144)

m = 504.