Answer:
![v1 = \sqrt{(2)}Vi](https://tex.z-dn.net/?f=v1%20%3D%20%5Csqrt%7B%282%29%7DVi)
![v2 = \sqrt{(2/3)}Vi](https://tex.z-dn.net/?f=v2%20%3D%20%5Csqrt%7B%282%2F3%29%7DVi)
ANGLE is 35.3 degree celcius
Explanation:
Given data:
mass m and 3m
initial speed Vi
particle with mass m is moving toward left while particle with mass 3m is moving toward right
By using conservation of momentum :
![mVi + 3m(-Vi) = mv1 +3mv2](https://tex.z-dn.net/?f=mVi%20%2B%203m%28-Vi%29%20%3D%20mv1%20%2B3mv2)
![-2mVi = m(v1 + 3v2)](https://tex.z-dn.net/?f=-2mVi%20%3D%20m%28v1%20%2B%203v2%29)
![-2Vi = v1 + 3v2](https://tex.z-dn.net/?f=-2Vi%20%3D%20v1%20%2B%203v2)
conservation of energy :
![m(Vi^2) + 3m(-Vi^2) = mv1^2 + 3mv2^2](https://tex.z-dn.net/?f=m%28Vi%5E2%29%20%2B%203m%28-Vi%5E2%29%20%3D%20mv1%5E2%20%2B%203mv2%5E2)
![4mVi^2 = m(v1^2+3v2^2)](https://tex.z-dn.net/?f=4mVi%5E2%20%3D%20m%28v1%5E2%2B3v2%5E2%29)
![4Vi^2 = v1^2+3v2^2](https://tex.z-dn.net/?f=4Vi%5E2%20%3D%20v1%5E2%2B3v2%5E2)
After collision, particle with mass m moves at right angles, thus by considering conservation of momentum in x & y direction,
x direction : ![-2mVi = 3m.v2i](https://tex.z-dn.net/?f=-2mVi%20%3D%203m.v2i)
![-2Vi = 3v2i](https://tex.z-dn.net/?f=-2Vi%20%3D%203v2i)
y direction : ![0 = m(v1)j+3m(v2)j](https://tex.z-dn.net/?f=0%20%3D%20m%28v1%29j%2B3m%28v2%29j)
![-v1j = 3v2j](https://tex.z-dn.net/?f=-v1j%20%3D%203v2j)
subsitute these value in energy conservation
![v1 = \sqrt{(2)}Vi](https://tex.z-dn.net/?f=v1%20%3D%20%5Csqrt%7B%282%29%7DVi)
![v2 = \sqrt{(2/3)}Vi](https://tex.z-dn.net/?f=v2%20%3D%20%5Csqrt%7B%282%2F3%29%7DVi)
35.3 degree from x-axis
Answer:
Position.
Explanation:
Motion can be defined as a change in location with respect to a reference point.
This ultimately implies that, motion would occur as a result of a change in location (position) of an object with respect to a reference point or frame of reference i.e where it was standing before the effect of an external force.
Mathematically, the motion of an object is described in terms of acceleration, time, distance, speed, velocity, displacement etc.
A complete description of your position includes a distance, direction, and reference point. Thus, this includes an object's distance in a certain direction from a reference point.