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Q.

The radius of the Earth is 6400 km and that of Mars is 3200 km. The mass of the Earth is about 10 times the mass of Mars. An object weighs 200N on the surface of the Earth. Its weight on the surface of mars will be:


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a

20N

b

8N

c

80N

d

40N 

answer is C.

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Detailed Solution

Concept: Use the formula W=mg to determine an object's weight. Find the weight ratio between Mars and Earth, respectively.
A weight is nothing more than the force of gravity acting on an object. The weight of an object is determined by multiplying its mass by the acceleration caused by gravity. We can therefore conclude that it entirely depends on the acceleration caused by gravity. The g is not the same everywhere in the cosmos, but on the surface of the Earth it is roughly 9.8m/s2
Here, we need to determine the force acting on the specified object on the surface of Mars. Let's start by formulating the equations needed to determine an object's weight on Earth and Mars, respectively.
The object's weight in relation to Earth = WE=mgE
The object's weight in relation to Mars = WM=mgM
RE=6400km, RM=3200 km and ME=10MM
Dividing equation 1 by equation 2
1,sunBut the equation provides the acceleration caused by gravity.
2,sunFrom equation 4 we can conclude that
Screenshot (24)Screenshot (25)Hence, the correct option is 3.
 
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