Try the fastest way to create flashcards
Question

# If a high-speed spaceship appears shrunken to half its normal length, how does its momentum compare with the classical formula $p=m v$ ?

Solutions

Verified
Step 1
1 of 2

The idea of the problem is to conclude the factor $\gamma$ which will enable us to conclude the relativistic momentum compared with classical momentum, since the relativistic momentum is given by the simple formula

$p_{relativistic} = \gamma mv$

We are given the fact that the length contracted and is now twice its classical length:

$L = \frac{L_{0}}{2}$

The length contraction is given by the formula

$L = \frac{L_{0}}{\gamma}$

so if we have that conclude that $\gamma = 0.5$. Thus we have:

$p_{relativistic} = 0.5 mv$

## Recommended textbook solutions

#### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

4th EditionISBN: 9780133942651 (8 more)Randall D. Knight
3,508 solutions

#### Conceptual Physics

12th EditionISBN: 9780321909107 (9 more)Paul G. Hewitt
3,462 solutions

#### Mathematical Methods in the Physical Sciences

3rd EditionISBN: 9780471198260 (1 more)Mary L. Boas
3,355 solutions

#### Fundamentals of Physics

10th EditionISBN: 9781118230718 (3 more)David Halliday, Jearl Walker, Robert Resnick
8,971 solutions