Question

Find the mass of a thin straight wire extending from the origin to (6,8) if δ =x+y gram per centimeter.

A. 100
B. 14
C. 70
D. 140
E. 24

Answer 1

The mass of the thin straight wire extending from the origin to (6,8) is 140 grams.

Step-by-step explanation:

To find the mass of the thin straight wire, we need to calculate the length of the wire first. The distance between the origin and the point (6,8) can be found using the distance formula:

d = sqrt((x2-x1)^2 + (y2-y1)^2)

d = sqrt((6-0)^2 + (8-0)^2) = sqrt(36+64) = sqrt(100) = 10 cm

Now, we can calculate the mass of the wire using the linear charge density:

Mass = delta * length = (6+8) * 10 = 140 grams