wo particles, each of mass 3.21 x 10-4 kg and speed 6.81 m/s, travel in opposite directions along parallel lines separated by 5.49 cm. a) What is the magnitude L of the angular momentum of the two-particle system around a point midway between the two lines? (b) s the value different for a different location of the point? If the direction of either particle is reversed, what are the answers for (c) art (a) and (d) part (b)? (a) Number 0.000120 Units kg-m^2/s (b) yes (c) Number Units kg-m^2/s (d) yes

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**Problem Statement:**

Two particles, each of mass \(3.21 \times 10^{-4} \, \text{kg}\) and speed \(6.81 \, \text{m/s}\), travel in opposite directions along parallel lines separated by \(5.49 \, \text{cm}\). 

(a) What is the magnitude \(L\) of the angular momentum of the two-particle system around a point midway between the two lines?  
(b) Is the value different for a different location of the point?  
If the direction of either particle is reversed, what are the answers for (c) part (a) and (d) part (b)?

**Answer:**

(a)

- Number: \(0.000120\) 
- Units: \(\text{kg} \cdot \text{m}^2/\text{s}\)

(b)

- Yes

(c)

- Number: \(0\)
- Units: \(\text{kg} \cdot \text{m}^2/\text{s}\)

(d)

- Yes
Transcribed Image Text:**Problem Statement:** Two particles, each of mass \(3.21 \times 10^{-4} \, \text{kg}\) and speed \(6.81 \, \text{m/s}\), travel in opposite directions along parallel lines separated by \(5.49 \, \text{cm}\). (a) What is the magnitude \(L\) of the angular momentum of the two-particle system around a point midway between the two lines? (b) Is the value different for a different location of the point? If the direction of either particle is reversed, what are the answers for (c) part (a) and (d) part (b)? **Answer:** (a) - Number: \(0.000120\) - Units: \(\text{kg} \cdot \text{m}^2/\text{s}\) (b) - Yes (c) - Number: \(0\) - Units: \(\text{kg} \cdot \text{m}^2/\text{s}\) (d) - Yes
Expert Solution
Step 1

“Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for you. To get remaining sub-part solved please repost the complete question and mention the sub-parts to be solved.”.

Step 2

Given two particle have equal mass m=3.21x10-4kg

Moving with same speed v=6.81m/s

Line separate by d=5.49cm=0.0549m

Angular momentum is given by

Advanced Physics homework question answer, step 2, image 1..................(1)

a)

When the two particles moves in opposite directions about middle point between them.

Advanced Physics homework question answer, step 2, image 2

Here r+r=2r=d=0.0549m

Therefore angular momentum is 

as we can see from equation (1) angular momentum due to both particle directed in the same direction. And Advanced Physics homework question answer, step 2, image 3

Therefore

Advanced Physics homework question answer, step 2, image 4

This is the answer.

Step 3

b) if centre of rotation is shifted then

Advanced Physics homework question answer, step 3, image 1

With r1+r2=d=0.0549m

Nowwe can see the direction of angular momentum due to each particle still remains same. Therefore value of angular momentum is

Advanced Physics homework question answer, step 3, image 2

Therefore magnitude of angular momentum remains same.

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