A rod of mass 0.720 kg and radius 6.00 cm rests on two parallel rails (see figure below) that are d = 12.0 cm apart and L= 45.0 cm long. The rod carries a current of I= 44.0 A in the direction shown and rolls along the rails without slipping. A uniform magnetic field of magnitude 0.250 T is directed perpendicular to the rod and the rails. If it starts from rest, what is the speed of the rod as it leaves the rails? (Assume that the rod is of uniform density.) m/s

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Chapter1: Units, Trigonometry. And Vectors
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A rod of mass 0.720 kg and radius 6.00 cm rests on two parallel rails (see figure below) that are \( d = 12.0 \) cm apart and \( L = 45.0 \) cm long. The rod carries a current of \( I = 44.0 \) A in the direction shown and rolls along the rails without slipping. A uniform magnetic field of magnitude 0.250 T is directed perpendicular to the rod and the rails. If it starts from rest, what is the speed of the rod as it leaves the rails? (Assume that the rod is of uniform density.)

\[ \_\_\_\_ \text{m/s} \]

**Diagram Explanation:**

The diagram shows:
- Two parallel rails with a rod placed across them. 
- The distance between the rails is denoted as \( d \).
- The length of the rails is \( L \).
- A magnetic field (\( \vec{B} \)) is depicted with vertical arrows indicating its direction, which is perpendicular to the rails and rod.
- The rod is labeled to show the direction of the current (\( I \)) flowing through it.

The problem involves concepts of electromagnetism and mechanics, specifically the interaction of current, magnetic fields, and motion.
Transcribed Image Text:A rod of mass 0.720 kg and radius 6.00 cm rests on two parallel rails (see figure below) that are \( d = 12.0 \) cm apart and \( L = 45.0 \) cm long. The rod carries a current of \( I = 44.0 \) A in the direction shown and rolls along the rails without slipping. A uniform magnetic field of magnitude 0.250 T is directed perpendicular to the rod and the rails. If it starts from rest, what is the speed of the rod as it leaves the rails? (Assume that the rod is of uniform density.) \[ \_\_\_\_ \text{m/s} \] **Diagram Explanation:** The diagram shows: - Two parallel rails with a rod placed across them. - The distance between the rails is denoted as \( d \). - The length of the rails is \( L \). - A magnetic field (\( \vec{B} \)) is depicted with vertical arrows indicating its direction, which is perpendicular to the rails and rod. - The rod is labeled to show the direction of the current (\( I \)) flowing through it. The problem involves concepts of electromagnetism and mechanics, specifically the interaction of current, magnetic fields, and motion.
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