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a particle of mass (1/100) kg is moving along the positive x-axis under the influence of a force F(x)= (-K/2x^2), where k=1/100 Nm^2. AT time t=0 it is at x=1m and it’s velocity is v=0; (A) Find it’s velocity when it reaches x=0.50m? (B) Find the time at which it reaches x=0.25m?

a particle of mass (1/100) kg is moving along the positive x-axis under the influence of a force F(x)= (-K/2x^2), where k=1/100 Nm^2.
AT time t=0 it is at x=1m and it’s velocity is v=0;
 
(A) Find it’s velocity when it reaches x=0.50m?
(B) Find the time at which it reaches x=0.25m?

Grade:12th pass

3 Answers

Vasantha Kumari
askIITians Faculty 38 Points
6 years ago

181-1323_Big _solution.jpg
Arun Kumar IIT Delhi
askIITians Faculty 256 Points
6 years ago
Hi
by what i understand by your representation of equation.


It would be great if you can integrate it with JEE methods.
Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty
Arun Kumar IIT Delhi
askIITians Faculty 256 Points
6 years ago
Hi
again by what i understand by your equation



Now you should put values to get it.
Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty

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