Answer:
From the question we are told that
The length of the rod is
The speed is v
The angle made by the rod is
Generally the x-component of the rod's length is
Generally the length of the rod along the x-axis as seen by the observer, is mathematically defined by the theory of relativity as
=>
Generally the y-component of the rods length is mathematically represented as
Generally the length of the rod along the y-axis as seen by the observer, is also equivalent to the actual length of the rod along the y-axis i.e
Generally the resultant length of the rod as seen by the observer is mathematically represented as
=>
=>
=>
=>
=>
=>
Hence the length of the rod as measured by a stationary observer is
Generally the angle made is mathematically represented
=>
=>
Explanation:
A is correct. There is plenty of gravity in outer space. That is what keeps the space station in orbit, as well as the moon, which is a lot farther away than the space station. The state of free fall is what orbiting actually means. The space station is falling down toward the earth, but due to its (fast) motion horizontal to the earth's surface, it's motion isn't straight down. In fact, as it moves horizontally, it falls down at the same rate that the curved surface of the earth "falls away" underneath it. So unlike most projectiles that fall with a curved trajectory and hit the ground, things in orbit have a curvature to their trajectory that matches the curvature of the earth. So instead of hitting the ground, the ground is curving away at the same rate the object falls.
Since all things fall at the same rate, the space station, astronauts, and everything else inside are all falling at the same rate and so they feel weightless. This would be the same in an elevator that was in free fall on earth, but since that would only be moving downward, it would eventually crash into the ground.
Pressure is proportional to kinetic energy per unit volume, while temperature is proportional to kinetic energy per particle. ... A gas can be at high temperature and low pressure if it has low number density; likewise, a gas can be at low temperature and high pressure if it has high number density.
Answer:
7500 m/s
Explanation:
Centripetal acceleration = gravity
v² / r = GM / r²
v = √(GM / r)
Given:
G = 6.67×10⁻¹¹ m³/kg/s²
M = 5.98×10²⁴ kg
r = 6.8×10⁵ + 6.357×10⁶ = 7.037×10⁶ m
v = √(6.67×10⁻¹¹ (5.98×10²⁴) / (7.037×10⁶))
v = 7500
The orbital velocity is 7500 m/s.