Question

The spacecraft of mass M moves with velocity V in free space at first, then it explodes
breaking into two pieces. If after explosion a piece of mass m comes to rest, the other piece of spacecraft will have a velocity

a. Greater than initial velocity V
b. Lesser than initial velocity V
c. Equal to initial velocity V
d. Equal to 0

Answer 1

Answer:

Equal to 0 ok

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Answer 2

Initial momentum of the system P

i

=MV

Let the mass of one part be m

Its velocity V=0

So, mass of other part m

′

=M−m

Let its velocity be V

′

.

Final momentum of the system P

f

=mV+m

′

V

′

Or P

f

=0+(M−m)V

′

=(M−m)V

′

Applying the conservation of linear momentum P

f

=P

i

∴ (M−m)V

′

=MV

⟹ V

′

=

M−m

MV

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