Question

Assuming that the earth is a sphere of uniform mass density, what is the percentage decreases in the weight of a body when taken to the end of the tunned 32 km below the surface of the earth?

(Radius of earth = 6400 km)
A. 0.25%
B. 0.5%
C. 0.7%
D. 1%

Answer 1

The weight of a body decreases as it moves towards the center of the Earth. When taken 32 km below the Earth's surface, the weight decreases by 25%. Therefore, the correct option is A.

Step-by-step explanation:

The weight of a body decreases as it moves towards the center of the Earth. In this case, the body is taken to a depth of 32 km below the surface. To calculate the percentage decrease in weight, we can use the formula:

Percentage decrease = (Change in weight / Initial weight) x 100

Using the formula for calculating weight, we can find that the change in weight is:

Change in weight = (1/4)x Initial weight

Substituting the given values, we get:

Change in weight = (1/4)x Initial weight = (1/4)x 100 = 25

The percentage decrease in weight is therefore 25%, which is equivalent to answer option A.