1) David's momentum is 12,000 kg m/s east
2) Serap's momentum is 15,000 kg m/s east
3) The total momentum is 27,000 kg m/s east
Explanation:
1)
The momentum of an object is given by
[tex]p=mv[/tex]
where
m is the mass of the object
v is its velocity
In this problem, we have:
m = 600 kg is the mass of David+his dune buggy
[tex]v=20 m/s[/tex] is their velocity (taking east as positive direction)
Therefore, David's momentum is:
[tex]p_d = (600)(20)=12,000 kg m/s[/tex]
And the direction is the same as the velocity (east).
2)
Again, we can use the same equation:
[tex]p=mv[/tex]
where this time
m is the mass of Serap+dunebuggy
v is their velocity
In this problem,
m = 500 kg is the mass of Serap + dunebuggy
v = 30 m/s is their velocity (positive since it is also in the east direction)
Substituting, we find
[tex]p_s = (500)(30)=15,000 kg m/s[/tex]
And the direction is the same as the velocity (east).
3)
The total momentum of the entire system is given by
[tex]p = p_d + p_s[/tex]
where
[tex]p_d[/tex] is David's momentum
[tex]p_s[/tex] is Serap's momentum
In this problem, we have the following data, found in the previous parts:
[tex]p_d = 12,000 kg m/s[/tex]
[tex]p_s = 15,000 kg m/s[/tex]
The two momentum have same direction (east), so we can simply add them together to find the total momentum:
[tex]p=12,000 + 15,000 = 27,000 kg m/s[/tex]
And the direction is still East.
Learn more about momentum:
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