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Question: A bird weight \(2kg\) and is inside a cage of \(1kg\) . If it starts flying then the weight of the b...

A bird weight 2kg2kg and is inside a cage of 1kg1kg . If it starts flying then the weight of the bird and cage assembly is:
A) 1kg1kg
B) 2kg2kg
C) 3kg3kg
D) 4kg4kg

Explanation

Solution

In order to solve this question we need to understand the laws of motion. Also, the concept that helps birds to fly is important. In order to attain stability and fly in the sky every being balances its weight so that it can survive the other forces present in the atmosphere and fly.

Complete step by step answer:
Here we are given that the weight of the bird is 2kg2kg .
This bird is inside the cage whose weight is 1kg1kg .
As we know that the bird pushes the air down in order to balance its weight and fly.
As the cage is at rest so no pseudo force will be acting on the bird hence weight of bird will be 2kg2kg in air.
Hence, the weight of bird and cage assembly will be equal to 2kg2kg and 1kg1kg that is equal to 3kg3kg .
The above expression can be written in the form of an equation as,
Wtotal=Wbird+Wcage{W_{total}} = {W_{bird}} + {W_{cage}}
Putting the values of all the quantities we have,
Wotal=2kg+1kg{W_{otal}} = 2kg + 1kg
This gives us the weight of the total assembly as,
Wtotal=3kg{W_{total}} = 3kg

So, the correct answer is option C, 3kg3kg.

Note: Here it is important to note that when any bird flies, the upthrust acting on it is equal and opposite to the down thrust on the cage. Due to this reason only the weight of the assembly remains unchanged. The overall forces acting on a body flying in air should be balanced otherwise it would not be possible for it to fly in the air. Here in this question the force acting from upward balances the force acting on the body from down and hence the body is in a stable state.