00:01
In this problem, it is said that a 4 -meter cylindrical bar has a constant density of 4 grams per centimeter for its left half and a constant density of 6 grams per centimeter for its right half.
00:11
So what is the total mass? so first of all, consider the mass for the left half.
00:17
So that's a density of 4 grams per centimeters for the left half of the 4 -meter cylindrical bar.
00:26
So half of 4 meters, that is 2 meters.
00:29
And if we want to convert it from meters to centimeters, note that 100 centimeters is in one meter, and so we're just going to multiply this by the conversion factor of 100 centimeters divided by one meter.
00:42
And with this, we will add the mass of the right half.
00:46
So the density here is 6 grams per centimeters, and on the right half, we have 2 meters, and we convert that to centimeters by multiplying by the conversion factor of 100 centimeters divided by one meter.
01:00
So we can cancel out the centimeters over here...