David hops in his 600-kg dune buggy and travels 20 m/s to the east. Meanwhile, Serap drives her 500-kg dune buggy at 30 m/s east and tries to catch David.What is davids momentum?
what is serap's momentum
what is the total momentum of the entire system?
Answers
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
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
is their velocity (taking east as positive direction)
Therefore, David's momentum is:
And the direction is the same as the velocity (east).
2)
Again, we can use the same equation:
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
And the direction is the same as the velocity (east).
3)
The total momentum of the entire system is given by
where
is David's momentum
is Serap's momentum
In this problem, we have the following data, found in the previous parts:
The two momentum have same direction (east), so we can simply add them together to find the total momentum:
And the direction is still East.
Learn more about momentum:
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