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Eduardwww [97]
3 years ago
7

An object has a relativistic momentum that is 8.30 times greater than its classical momentum. What is its speed?

Physics
2 answers:
Mrrafil [7]3 years ago
6 0

Answer:

v = .992 c.

Explanation:

In relativistic mechanics , momentum

mv=\frac{m_0v}{\sqrt{1-\frac{v^2}{c^2} } }

c is velocity of light  , m₀ is rest mass and v is velocity of the body..

Given

\frac{mv}{m_0v} = 8.3

\sqrt{1 -\frac{v^2}{c^2} } = \frac{1}{8.3}

Solving for v

v = .992 c.

Advocard [28]3 years ago
4 0

Answer:

Speed of the object, v = 0.99 c

Explanation:

It is given that, an object has a relativistic momentum that is 8.30 times greater than its classical momentum.

The relativistic momentum is given by, p=\dfrac{m_ov}{\sqrt{1-\dfrac{v^2}{c^2}}}

Classical momentum, p' = mv

According to the given condition,

p = 8.3 p'

\dfrac{m_ov}{\sqrt{1-\dfrac{v^2}{c^2}}}=8.3\times m_ov

\sqrt{1-\dfrac{v^2}{c^2}}=\dfrac{1}{8.3}

1-\dfrac{v^2}{c^2}=0.01451

\dfrac{v^2}{c^2}=0.985

v=0.99c, c is the speed of light

So, the speed of the object is 0.99 c. Hence, this is the required solution.

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