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Grade: 12th pass
        
 Consider the following two statements :
A. Linear momentum of a system of particles is zero
B. Kinetic energy of a system of particles is zero.
Then
a) A does not imply B and B does not imply A
b) A implies B but B does not imply A
c) A does not imply B but B implies A
d) A implies B and B implies A
 
4 years ago

Answers : (3)

Sher Mohammad
IIT Delhi
askIITians Faculty
174 Points
							The option B is correct
						
4 years ago
Vasantha Kumari
askIITians Faculty
38 Points
							

Linear momentum is a vector quantity while kinetic energy is a scalar quantity. Hence, when the linear momentum is zero, it does not mean kinetic energy need to be zero. But when kinetic energy is zero, the linear momentum has to be zero.

So, the right option is (c) A does not imply B but B implies A.

Thanks & Regards,

Vasantha Sivaraj,

askIITians faculty

4 years ago
Arun Kumar
IIT Delhi
askIITians Faculty
256 Points
							Hi

A doesn't implies B but B implies A.
See if kinetic energy is zero v or omega both are zero because mass can't be zero.
In case of rotational motion Linear momentum could be zero but it still it can have non zero kinetic energy because of other motion.

Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty

4 years ago
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