Want this question answered?
Kinetic energy is equal to the mass of the object times the velocity squared (Ek=.5mv2). To obtain the ratio between the two objects, divide the first by the second (Ek1/Ek2). This is equivalent to .5m1v12/.5m2v22. Since the masses are equal, they cancel out and you are left with v12/v22. Next, as stated in the problem, the seceond velocity is twice as much as the first so plug that coefficient into the aforementioned equation. (1v12)/(2v22). Since the values of velocity (v) are equal in this problem, they can cancel out just as the masses did. Now, 12=1 and 22=4; so the ratio is 1/4.
Sometimes-when there masses are equal.
The momentum product can be the same with different velocities; m1V=m2rV thus m1/m2=r ratio with V1=rV1.
In physics, momentum = mass x velocityhigher the mass or higher the velocity, higher is the momentum. Note, momentum is a vector quantity i.e it has both magnitude and direction. For instance, when two bodies A of velocity 3m/s and B of velocity 6m/s both of equal masses collide, A moves in the direction of B. Mathematically, the momentum of A is given a negative sign(-) meaning that the momentum of A is in the direction of B
equal and opposite depending on the masses
Kinetic energy is equal to the mass of the object times the velocity squared (Ek=.5mv2). To obtain the ratio between the two objects, divide the first by the second (Ek1/Ek2). This is equivalent to .5m1v12/.5m2v22. Since the masses are equal, they cancel out and you are left with v12/v22. Next, as stated in the problem, the seceond velocity is twice as much as the first so plug that coefficient into the aforementioned equation. (1v12)/(2v22). Since the values of velocity (v) are equal in this problem, they can cancel out just as the masses did. Now, 12=1 and 22=4; so the ratio is 1/4.
Sometimes-when there masses are equal.
The new speed for the combined masses will be one-half the original velocity of the moving spaceship, since the momentum is applied to a mass twice as large.
no it is not equal
The momentum product can be the same with different velocities; m1V=m2rV thus m1/m2=r ratio with V1=rV1.
different equal
Protons and neutrons have relatively equal masses. Electrons have a much smaller mass than the others.
No, because momentum depends on velocity and mass so they may have the same velocity but if they have different masses then they will have different momenta. (momenta is the plural form of momentum.)
For two point masses of equal mass, the center of gravity is the center of mass and is located midway between the two point masses.
Generally, no.
Lolz
For two bodies with equal radius, the more massive has the greater escape velocity. For two bodies with equal mass, the one with smaller radius has the greater escape velocity. Both conditions listed in the question indicate greaterescape velocity.