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Fundamentals Of Physics
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Short Answer

In Fig. 13-57, identical blocks with identical masses m=2.00 kg hang from strings of different lengths on a balance at Earth’s surface.The strings have negligible mass and differ in length by h=5.00 cm. Assume Earth is spherical with a uniform density r=5.5. g/cm3. What is the difference in the weight of the blocks due to one being closer to Earth than the other?

The difference in weight of the blocks=3.1×10-5 N.

See the step by step solution

Step by Step Solution

Step 1: Listing the given quantities

The mass of each of the two identical blocks =2.00 kg

The difference in the length of the string =5.00 cm

Earth is sphere and has uniform density =5.50 g/cm2.

Step 2: Understanding the concept of gravitational force

The gravitational force (and acceleration) is inversely proportional to the square of the distance between the particle and the earth.



Step 3: Explanation

The earth exerts gravitational force on a particle of mass m, given as


i.e., the acceleration due to gravity is


The weight difference between the two object is


We know


Putting the value of M in the above equation


Substituting the values, we have

w=8π35.5×1036.67×10-112.000.50=3.07×10-7 N

The difference in weight of the blocks=3.1×10-5 N.

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