But at 87% of the speed of light, the Lorentz contracted rocket is short enough to fit inside. Will the rocket really fit? To make the problem interesting, imagine that the rocket and the spacestation are made of a perfectly rigid indestructible titanium alloy.

2022年2月28日 · Yes, in the Earth's frame the rocket moves at ##v = 0.5c##. So, you can do the usual kinematics to get the position of the rocket in terms of coordinate time of the Earth's frame: ##x_R = x_0 + vt = 0.5c \ t##. Meanwhile the position of a light pulse send from Earth in the direction of the rocket after a time ##T##, say is: ##x_L = c(t - T)##.

2022年4月17日 · Does length contraction apply for both the person in the rocket measuring the distance between planets and the person on earth measuring the length of the rocket? To resolve the twin paradox we concluded that time dilation only occurs for the twin on the rocket.

2023年11月18日 · At the starting gun (or firecracker) Earth is rushing past the rocket at speed \(99 / 101\). Twenty years later Canopus arrives at the rocket, Canopus also traveling at that speed, \(99 / 101\) in that rocket frame. This means that for the rocket traveler the Earth-Canopus distance is only about 20 light-years.

2007年3月8日 · How Do Time Dilation and Length Contraction Affect Colliding Rockets? Two powerless rockets are on a collision course. They are moving with speeds 0.800c (ship 1) and 0.600c (ship 2) and are initially 2.25*10^12 m apart. The ships are both 50m in length as observed by a stationary observer on earth. a) what are their respective proper lengths?

2016年9月20日 · Imagine if there was a rocket that traveled a speed of v v away from the Earth. Using this, the author explains the following: "Ovservers on Earth watch a spacecraft traveling at speed v v from Earth to, say, Neptune. THe distance between the planets, as measured by the Earth observers, is L0 L 0.

2023年11月20日 · Because the center of pressure is not normally located at the center of gravity of the rocket, aerodynamic forces can cause the rocket to rotate in flight. The lift of a rocket is a side force used to stabilize and control the direction of flight. Lift occurs when a flow of gas is turned by a solid object.

Explain the principle involved in propulsion of rockets and jet engines. Derive an expression for the acceleration of the rocket and discuss the factors that affect the acceleration. Describe the function of a space shuttle.

We analyze the motion of a rocket, which changes its velocity (and hence its momentum) by ejecting burned fuel gases, thus causing it to accelerate in the opposite direction of the velocity of the ejected fuel (Figure 9.11.1).

2025年3月4日 · Rocket launches and satellite reentry are increasing at an unprecedented rate. Given the lack of any sort of regulation on their number, we expect they can start becoming a noticeable pollutant in the near future. ... where it can land on snow and ice, and accelerate melting by making those surfaces less reflective. This is an effect that has ...