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
a = acceleration of the bank cart = 4 m/s²
m = mass of the bank cart = 8000 kg
F = net force on the cart
According to newton's second law , Net force is the product of mass of the object and the acceleration of the object.
Net force = mass x net acceleration
hence Net force acting on the cart is given as
F = ma
F = 8000 x 4
F = 32000 N
hence the net force acting on the cart comes out to be 32000 N
The medium is glass (index of refraction: 1.70)
Explanation:
We can solve the problem by using the concept of index of refraction.
The index of refraction of a medium is given by:
![n=\frac{c}{v}](https://tex.z-dn.net/?f=n%3D%5Cfrac%7Bc%7D%7Bv%7D)
where
is the speed of light in a vacuum
v is the speed of light in the medium
For the medium in this problem, we have
![v=1.76\cdot 10^8 m/s](https://tex.z-dn.net/?f=v%3D1.76%5Ccdot%2010%5E8%20m%2Fs)
So, the index of refraction of this medium is
![n=\frac{3.0\cdot 10^8}{1.76\cdot 10^8}=1.70](https://tex.z-dn.net/?f=n%3D%5Cfrac%7B3.0%5Ccdot%2010%5E8%7D%7B1.76%5Ccdot%2010%5E8%7D%3D1.70)
And looking at tables of index of refraction of various materials, we see that various types of glass have index of refraction of 1.70.
Learn more about refraction here:
brainly.com/question/3183125
brainly.com/question/12370040
#LearnwithBrainly
Answer:
12 hour clock: 9:47
24 hour clock: 21:47
Explanation:
At 12:00 pm, add 12 for the hour. So, 1:00 pm is 13:00.