Explain why astronomers use the term "blueshifted" for objects moving toward us and "redshifted" for objects moving away from us
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Answer:
Explanation:
This is a projectile motion problem. We will first separate the motion into x- and y-components, apply the equations of kinematics separately, then we will combine them to find the initial velocity.
The initial velocity is in the x-direction, and there is no acceleration in the x-direction.
On the other hand, there no initial velocity in the y-component, so the arrow is basically in free-fall.
Applying the equations of kinematics in the x-direction gives
For the y-direction gives
Combining both equation yields the y_component of the final velocity
Since we know the angle between the x- and y-components of the final velocity, which is 180° - 2.8° = 177.2°, we can calculate the initial velocity.
Here we can use momentum conservation as in this type of collision there is no external force on it
now here we can say
now here we can say
now by coefficient of restitution
for elastic collision we know that e = 1
now by solving the two equation
also we know that
so final speed of the nail is 6.875 m/s