Aflat dance floor of dimensions l(x) = 17m by l(y) = 19 m has a mass m = 1400 kg. use the bottom left corner of the dance floor as the origin. three dance couples, each of mass m = 110 kg start in the top left, top right, and bottom left corners.

part one:
a. what is the initial y coordinate of the center of gravity of the dance floor and three couples? answer in units of m.

part two
b. the couple in the bottom left corner moves 7.6 m to the right. what is the new x coordinate of the center of gravity? answer in units of m.

A. 10.1 m

B. 8.44 m

Explanation:

Part One:

The coordinates of the three couples are (0, 19), (17, 19), and (0, 0).  The center of the dance floor is (8.5, 9.5).

To find the center of gravity, we multiply each coordinate by its mass, sum the results, then divide by the total mass.

The initial y-coordinate is 10.1 m.

Part Two:

Repeat part one, but this time, (0, 0) becomes (7.6, 0).

The new x-coordinate is 8.44 m.

temp rises, and expansion

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2