If the airplane of Passage Problem 37.71 has a rest mass of...

Name: Problem 72, Chapter 37: University Physics with Modern Physics
Uploaded: 2019-05-06T08:39:43-08:00
Duration: 1 min 49 s
Channel: Ceren Uzun
Description: If the airplane of Passage Problem 37.71 has a rest mass of 20,000 kg, what is its relativistic mass when the plane is moving at 180 m/s ? (a) 8000 kg; (b) 12,000 kg; (c) 16,000 kg; (d) 25,000 kg; (e) 33,300 kg.

If the airplane of Passage Problem 37.71 has a rest mass of 20,000 kg, what is its relativistic mass when the plane is moving at 180 m/s ? (a) 8000 kg; (b) 12,000 kg; (c) 16,000 kg; (d) 25,000 kg; (e) 33,300 kg.

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Key Concepts

Relativistic Mass

Relativistic mass refers to the effective mass of an object when it is moving at a significant fraction of the speed of light relative to an observer. In Special Relativity, as the speed of an object increases, its mass appears to increase according to the Lorentz factor. This concept explains why high-speed objects behave as if they have more inertia than they do at rest.

Rest Mass

Rest mass is the intrinsic mass of an object measured when it is at rest relative to the observer. It is an inherent property of the object and does not change with the object's velocity. In calculations within Special Relativity, it is used in conjunction with the Lorentz factor to determine the relativistic mass.

Lorentz Factor

The Lorentz factor, denoted by ? (gamma), quantifies the degree of time dilation, length contraction, and relativistic mass increase experienced by an object moving at a high velocity relative to an observer. It is calculated using the formula ? = 1/?(1 - v²/c²), where v is the object's velocity and c is the speed of light. This factor is used to scale the rest mass to obtain the relativistic mass.

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