A box is cubical with sides of proper lengths L₁ = L₂ = L3 = 1.8 m, as shown in the figure below, when viewed in its own rest frame. This block moves parallel to one of its edges with a speed of 0.93c past an observer. L₂ L₁ Ⓡ (a) What shape does it appear to have to this observer? Orectangular O pyramidal O cubical O spherical (b) What is the length of each side as measured by this observer? (Assume that the side that the block is moving parallel to is L₁.) 4₁ = m 42 = m m 3 = (c) A cube of steel has a volume of 3.00 cm³ and a mass of 6.00 g when at rest on the Earth. If this cube is now given a speed u = 0.930c, what is its density as measured by a stationary observer? g/cm³

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A box is cubical with sides of proper lengths \( L_1 = L_2 = L_3 = 1.8 \, \text{m} \), as shown in the figure below, when viewed in its own rest frame. This block moves parallel to one of its edges with a speed of \( 0.93c \) past an observer.

**Diagram Description:**
The diagram shows a cube with sides labeled \( L_1 \), \( L_2 \), and \( L_3 \).

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**Questions:**

(a) What shape does it appear to have to this observer?
- [X] rectangular
- [ ] pyramidal
- [ ] cubical
- [ ] spherical

(b) What is the length of each side as measured by this observer? (Assume that the side that the block is moving parallel to is \( L_1 \).)

- \( L_1 = \) _____ m
- \( L_2 = \) _____ m
- \( L_3 = \) _____ m

(c) A cube of steel has a volume of \( 3.00 \, \text{cm}^3 \) and a mass of \( 6.00 \, \text{g} \) when at rest on the Earth. If this cube is now given a speed \( u = 0.93c \), what is its density as measured by a stationary observer?

- _____ g/cm\(^3\)
Transcribed Image Text:A box is cubical with sides of proper lengths \( L_1 = L_2 = L_3 = 1.8 \, \text{m} \), as shown in the figure below, when viewed in its own rest frame. This block moves parallel to one of its edges with a speed of \( 0.93c \) past an observer. **Diagram Description:** The diagram shows a cube with sides labeled \( L_1 \), \( L_2 \), and \( L_3 \). --- **Questions:** (a) What shape does it appear to have to this observer? - [X] rectangular - [ ] pyramidal - [ ] cubical - [ ] spherical (b) What is the length of each side as measured by this observer? (Assume that the side that the block is moving parallel to is \( L_1 \).) - \( L_1 = \) _____ m - \( L_2 = \) _____ m - \( L_3 = \) _____ m (c) A cube of steel has a volume of \( 3.00 \, \text{cm}^3 \) and a mass of \( 6.00 \, \text{g} \) when at rest on the Earth. If this cube is now given a speed \( u = 0.93c \), what is its density as measured by a stationary observer? - _____ g/cm\(^3\)
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