two objects have equal momentum butvone has four times the mass of the other. whats the relationship of thier velocities
The relationship between the velocities of two objects with equal momentum but different masses can be determined using the equation for momentum:
p = mv
where p is the momentum, m is the mass, and v is the velocity.
Let's denote the mass of the first object as m1 and its velocity as v1, and the mass of the second object as m2 and its velocity as v2.
Given that the momentum of both objects is equal, we can write:
m1*v1 = m2*v2
Since m2 = 4*m1 (one object has four times the mass of the other), we can substitute this into the above equation:
m1*v1 = 4*m1*v2
Simplifying, we can cancel out m1 from both sides:
v1 = 4*v2
Therefore, the relationship between the velocities of the two objects is that the velocity of the first object (with four times the mass) is four times less than the velocity of the second object (with one-fourth the mass).