## The dilemma of Frictionless Surface

Discuss Physics and Physics Olympiad related problems here
Abdul Muntakim Rafi
Posts: 173
Joined: Tue Mar 29, 2011 10:07 pm

### The dilemma of Frictionless Surface

A 60 kg farmer ropes a 300 kg ox. Both are initially at rest, 24 m apart on a frictionless level surface. When farmer ends up pulling the ox towards him, the ox will move

A) 4m, B) 5m, C) 12m, D) 20m, E) 24m .

What do you think?
Man himself is the master of his fate...

nafistiham
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### Re: The dilemma of Frictionless Surface

i think it is $24$m
$\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0$
Using $L^AT_EX$ and following the rules of the forum are very easy but really important, too.Please co-operate.

tanvirab
Posts: 446
Joined: Tue Dec 07, 2010 2:08 am

### Re: The dilemma of Frictionless Surface

Since there is no friction, there will be equal and opposite forces on the ox and the farmer. So they will move towards each other and collide. Their acceleration will be force/mass. Since you know the acceleration of both (and that they were at rest at the beginning) you can use S.S.C. Newtonian physics to find at what distance they will collide.

Abdul Muntakim Rafi
Posts: 173
Joined: Tue Mar 29, 2011 10:07 pm

### Re: The dilemma of Frictionless Surface

Yeah... $4$ m...
Man himself is the master of his fate...

raihan khan
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Joined: Wed Mar 16, 2011 12:30 pm
Location: Dhaka

### Re: The dilemma of Frictionless Surface

they will collide in the center of mass of their system as there is no external force.

tanvirab
Posts: 446
Joined: Tue Dec 07, 2010 2:08 am