The new momentum would be 48 kg m/s
Explanation:
The momentum of an object is given by:
[tex]p=mv[/tex]
where
m is the mass of the object
v is its velocity
For the bike in this problem, we know that its momentum is 24 kg m/s:
[tex]p=mv=24 [kg m/s][/tex]
Where m is the mass of the bike and v is its velocity.
Then we are asked: what if the mass of the bike is twice the original mass,
m' = 2m
While the velocity remains the same:
v' = v
Then, the new momentum of the bike would be
[tex]p' = m'v'=(2m)(v)=2(mv) = 2p[/tex]
So, the new momentum would be twice the original momentum: therefore, the new momentum would be
p' = 48 kg m/s
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