メ ズ 3. What is the speed of each proton? a. 3.16 x 10° m/sec r b. 1.58 x 10° m/sec c. 2.67 x 10° m/sec d. none メ メ メ メ メ メ 4. Find the kinetic energy of each proton in electron volts ( 1 eV = 1.6 x 1019 J ), K = ½ mv? メ d. 13,000 eV a. 2.08 eV b. 1.30 MeV c. 2.08 MeV *メメ

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Chapter1: Units, Trigonometry. And Vectors
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Question 3 and 4

**Topic: Proton Motion in a Magnetic Field**

A beam of protons moves in a circle of radius 0.55 m. The protons move perpendicular to a 0.030 T magnetic field. Each proton has a mass of 1.67 x 10^-27 kg and a charge equal to that of an electron.

**Questions:**

3. **What is the speed of each proton?**
   - a. 3.16 x 10^6 m/s
   - b. 1.58 x 10^6 m/s
   - c. 2.67 x 10^6 m/s
   - d. none

4. **Find the kinetic energy of each proton in electron volts (1 eV = 1.6 x 10^-19 J), K = 1/2 mv^2**
   - a. 2.08 eV
   - b. 1.30 MeV
   - c. 2.08 MeV
   - d. 13,000 eV

**Problem on Current-Carrying Wire:**

A wire of length 0.655 m carries a current of 21.0 A. In a magnetic field of 0.470 Tesla, the wire experiences a force of 5.46 N.

5. **What is the angle (less than 90 degrees) between the wire and the magnetic field?**
   - a. 32.4°
   - b. 57.6°
   - c. 40.2°
   - d. 90°

6. **How would you place this wire so that it would have maximum force acting on it?**
   - a. set the angle at 45°
   - b. place the wire perpendicular to the field.
   - c. place the wire parallel to the B field.
   - d. none of these.

**Diagram Explanation:**

The diagram shows the circular path of a proton moving in a magnetic field. The magnetic field is depicted with 'x' marks indicating the direction into the page. The circle indicates the path of the proton, and the arrow represents the velocity vector of the proton at a given point on this path.
Transcribed Image Text:**Topic: Proton Motion in a Magnetic Field** A beam of protons moves in a circle of radius 0.55 m. The protons move perpendicular to a 0.030 T magnetic field. Each proton has a mass of 1.67 x 10^-27 kg and a charge equal to that of an electron. **Questions:** 3. **What is the speed of each proton?** - a. 3.16 x 10^6 m/s - b. 1.58 x 10^6 m/s - c. 2.67 x 10^6 m/s - d. none 4. **Find the kinetic energy of each proton in electron volts (1 eV = 1.6 x 10^-19 J), K = 1/2 mv^2** - a. 2.08 eV - b. 1.30 MeV - c. 2.08 MeV - d. 13,000 eV **Problem on Current-Carrying Wire:** A wire of length 0.655 m carries a current of 21.0 A. In a magnetic field of 0.470 Tesla, the wire experiences a force of 5.46 N. 5. **What is the angle (less than 90 degrees) between the wire and the magnetic field?** - a. 32.4° - b. 57.6° - c. 40.2° - d. 90° 6. **How would you place this wire so that it would have maximum force acting on it?** - a. set the angle at 45° - b. place the wire perpendicular to the field. - c. place the wire parallel to the B field. - d. none of these. **Diagram Explanation:** The diagram shows the circular path of a proton moving in a magnetic field. The magnetic field is depicted with 'x' marks indicating the direction into the page. The circle indicates the path of the proton, and the arrow represents the velocity vector of the proton at a given point on this path.
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