Shell explodes and so does Gotham

A shell explodes in a region of negligible gravity field giving out fragments of equal mass, then it's total :
(a) momentum = that before collision
(b) momentum and K.e depend on mass of the fragments
(c) K.E is greater than that before collision
(d) K.E is smaller than that before collision

11 Answers

19
Debotosh.. ·

option (a) is sure...thinking of (c) and (d) !

19
Debotosh.. ·

if we are talking of k.e. of the remaining portion of the shell after collision , then k.e. increases !

1
Bicchuram Aveek ·

Answer given is a and d

Help or Gotham explodes !!!!!!!!

39
Pritish Chakraborty ·

Because after explosion the mass fragments gain sudden velocity...?
ok...didn't expect that Aveek :P

1
Maths Musing ·

The question is that a shell is exploding into halves , then where does collision take place as stated in the options ? Also thermodynamically speaking , the shell , as a system is doing work to explode , i.e , work done is negative . So in accordance to work- energy theorem , K.E should decrease.

1
Bicchuram Aveek ·

The shell is not exploding into halves !!!!!!!!!!!!!! The shell can explode into infinite fragments of equal masses !!!!!!!!!

For e.g. if it's mass is 5m, then it can break into m,m,m,m,m mass each :-)

1
Maths Musing ·

Yeah,but then also am I wrong ? Because the ans. will remain same for infinite masses.And my question is ------ WHERE IS THE COLLISION HAPPENING ?

1
Bicchuram Aveek ·

This is not English........it's Physics.....collision means explosion

1
varun.tinkle ·

well the option d is ony right when the shell already has some k e

if i it is so u cna solve it by finding an analogy between inelastic collision and explsion

39
Pritish Chakraborty ·

No external forces are acting on the system here. The forces acting are the shell's own(internal). This is why momentum before and after the explosion remains the same, i.e., principle of momentum conservation can be applied.

After explosion, fragments of smaller mass but extremely high velocity are obtained. Thus the increase in kinetic energy.
(K.E proportional to v2, so increase in velocity brings about substantial increase in K.E. where decrease in mass does not decrease K.E. as much)

49
Subhomoy Bakshi ·

suppose shell was at rest....it explodes....

then momentum is always conserved...

and internal energy is converted to kinetic energy....so K.E. increases ... must increase!!

Your Answer

Close [X]