plz tell fast tell fast
Answers
Answer:
Will remain same
Explanation:
Formula for momentum :
⠀⠀⠀⠀⠀⠀⠀⠀⠀p = mv
Where,
m = Mass of the body
p = Momentum
v = Velocity
So by using the formula for momentum of a body and substituting the values in it, we get :
⠀⠀⠀⠀=> p = mv
⠀⠀⠀⠀=> p = ½ × M × V²
⠀⠀⠀⠀⠀⠀⠀∴ p = MV
Hence the momentum of the body is ½MV².
Now let's find out the momentum of the body when the mass is doubled and the velocity is halved.
⠀⠀⠀⠀=> p = mv
⠀⠀⠀⠀=> p = 2M × V/2
⠀⠀⠀⠀=> p = M × V
⠀⠀⠀⠀⠀⠀⠀∴ p' = MV
Hence the linear momentum of the body when mass is doubled and the velocity is halved is MV
Now to find the relationship between the linear momentum and original momentum of the body :
⠀⠀⠀⠀=> p" = p/p'
Now substituting the values in it, we get :
⠀⠀⠀⠀=> p/p' = MV/MV
⠀⠀⠀⠀=> p/p' = 1/1
⠀⠀⠀⠀=> p : p' = 1 : 1