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Question

A body of mass m=102 kg is moving in a medium and experiences a frictional force F=kv2. Its initial speed is v0=10 ms1. If, after 10s, its energy is 18mv20, the value of k will be 


Your Answer
A
103kg m1
 
Your Answer
B
103kg s1
 
Correct Answer
C
104kg m1
 
Your Answer
D
101kg m1s1
 

Solution

The correct option is C 104kg m1
 
m=102kg

F=kv2

v0=10ms1

Also 
u=v0,v=v02

a=fm=kv2m

a=dvdt

kv2m=dvdt

km100dt=v0/2v0dvv2 

km×10=[1v]510

km×10=15110

k×103=110

R=104 kgm1

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