The andromeda galaxy is approaching our galaxy with a radial velocity of 120 km/s. given the galaxies present separation of 800 kpc, and neglecting both the transverse component of the velocity and the effect of gravity in accelerating the motion, estimate when the two galaxies will collide.
The Andromeda Galaxy, also known as Messier 31, M31, or NGC 224 and originally the Andromeda Nebula, is a barred spiral galaxy that is 2.5 million light-years away from Earth and the closest big galaxy to the Milky Way. It has a diameter of roughly 46.56 kiloparsecs.
The Milky Way, which houses the Solar System and Earth, and the Andromeda Galaxy are anticipated to collide in roughly 4.5 billion years. This galactic collision will take place between the two largest galaxies in the Local Group. The Andromeda galaxy is the brightest galaxy outside of our solar system. It is the furthest object that the majority of us humans can see with our unaided eyes at a distance of 2.5 million light-years.
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Answer:
= -12 N
, 
= -80 N and 
= - 44 N
Explanation:
The force is related to the potential energy by the formula
F = -Δ U = - ( 
i ^ + 
j ^ + 
k ^)
It indicates the potential energy
U = 2xyz + 3z² + 4yx + 16
To solve this problem let's make the derivatives, to find each component of the force
= 2yz + 0 + 4y + 0 = 2yz + 4y
= 2xz + 0 + 4x + 0 = 2xz + 4x
= 2xy + 3 2z + 0 +0 = 2xy + 6z
We look for the expression for the force in each axis
= - 2yz - 4y
= -2xz -4x
= -2xy -6z
We calculate at the point P = (20 i ^ + 1j ^ + 4 k ^) m
= - 2 1 4 - 4 1
= -12 N
= - 2 20 4 - 4 20
= -80 N
= - 20 1 - 6 4
= - 44 N
We put together the expression for strength
F = (-12 i ^ - 80j ^ -44k ^) N
Because of the earths curve and temperature. The temperature in an area depends on the amount of the Sun's energy reaching the surface in that area. The equator tilts closer to the sun than the poles do. I hope this helps!
Acceleration=9.81m/s^2
initial velocity=0m/s
time=.28s
We have to find final velocity.
The equation we use is
Final velocity=initial velocity+acceleration x time
Vf=0m/s+(9.81m/s^2)(.28s)
Vf=2.7468m/s
We would round this to:
Vf (final velocity)=2.7m/s
Answer:
R=0.5B+0.5C+2A+D
Explanation:
By the triangular law of vector addition
vector R= vector B- vector D
As A,B,C,D are edges of the parallelogram,
A is parallel to D but opposite in direction.
Therefore
;
;
B is parallel to C and in same direction.
