Answer:
a)0.5564c
b)43.6 m
Explanation:
Given proper length of falcrum L₀= 43.6 m
improper length L=30.1 m (when viewed from moving frame)
we know that 

⇒
=



v=0.5564c
this is the required speed of falcon when it passes luke
b). Since Han solo is on the Falcon its reference frame will be falcon itself hence there wont be any change in the length of Falcon that its length will be
43.6 m
Answer:
The motion of a simple pendulum is very close to Simple Harmonic Motion (SHM). SHM results whenever a restoring force is proportional to the displacement, a relationship often known as Hooke's Law when applied to springs. Where F is the restoring force, k is the spring constant, and x is the displacement.
where θ is the angle the pendulum makes with the vertical. For small angles, sin(θ)∼θ, which would then lead to simple harmonic motion. For large angles, this approximation no longer holds, and the motion is not considered to be simple harmonic motion.
The answer is:
D: The distance between the objects squared.
The gravitational force between two objects is proportional to their masses and inversely proportional to the square of the distance between their centers. Result: 'g' is independent of mass of object !! Hope this helped :)
a) 
For a gas transformation occuring at a constant pressure, the work done by the gas is given by

where
p is the gas pressure
V_f is the final volume of the gas
V_i is the initial volume
For the gas in the problem,
is the pressure
is the initial volume
is the final volume
Substituting,

b) 
The heat absorbed by the gas can be found by using the 1st law of thermodynamics:

where
is the change in internal energy of the gas
Q is the heat absorbed
W is the work done
Here we have


So we can solve the equation to find Q:

And this process is an isobaric process (=at constant pressure).