The linear density in a rod 8 meters long is 10 / (sqrt (x 1)) kg/m, where x is measured in meters from one end of the rod. Find the average density (in kg/m) of the rod.

The average density of the rod is 1.11 kg/m

Step-by-step explanation:

Linear density is given by the expression 10 / (sqrt (x 1)) kg/m

x is said to be measured in meters from one end of the rod. Therefore x represents the length of the rod = 8 m

Substitute the value of x into the expression of linear density to determine the average density of the rod

Average density = 10 / (sqrt (81)) = 10/9 = 1.11 kg/m