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Answer:
The angular momentum of the particle is 58.14 kg m²/s along positive z- axis and is independent of time .
Explanation:
Given that,
Mass = 1.70 kg
Position vector 
We need to calculate the angular velocity
The velocity is the rate of change of the position of the particle.



We need to calculate the angular momentum of the particle
Using formula of angular momentum

Where, p = mv
Put the value of p into the formula

Substitute the value into the formula



Hence, The angular momentum of the particle is 58.14 kg m²/s along positive z- axis and is independent of time .
The question is incomplete! circuit figure is attached below and answer and explanation is provided below.
Answer:
Bulb_A = Bulb_B = Bulb_D and Bulb_C = 0.
Explanation:
What happens when switch is open?
When the switch is open Bulb_C is open circuited meaning that there is no way for the current to flow through it. This path offers infinite resistance to the current therefore, current will try to take a least resistance path that is through Bulb_B.
So eventually, when the switch is open the circuit becomes a simple series circuit with path From battery to Bulb_A to Bulb_B to Bulb_D to battery with Bulb_C = 0.
What happens in a series circuit?
We know that in a series circuit, there is only one path for the current to flow therefore, same current will flow through all the series Bulbs and their brightness will be same. Bulb_A = Bulb_B = Bulb_D
Brightness in a series circuit:
We also know know that in a series circuit, resistance gets summed up and voltage across each Bulb gets shared which results in less power dissipation that's why Bulbs connected in series appear dimmer as compared to when they are connected in parallel.
Answer:
New Resistance = 247.5 ohm
Explanation:
Resistance = resistivity * length / area
Since resistivity for the material is constant, resistance is directly proportional to (length/area).
This means that if (length/area) decreases or increases by any ratio, then resistance will increase or decrease by the same ratio.
So let's find the change in length/area
New length = 0.25 old length
New area = (1/9) old area (This is because area equation contains a square of the diameter. if diameter decreases by 1/3, area decreases by (1/3)^2 )
So we now get length /area:
New length / new area = ( 0.25 old length) / (1/9 of old area)
New length / new area = 9*0.25 (old length / old area)
New length / new area = 2.25 (old length / old area)
To get the new resistance, we simply multiply it by the ratio we just found.
This equals:
110 * 2.25 = 247.5 ohm
Answer:
7.69km/hr due east
Explanation:
Given parameters:
Displacement due west = 3km
Displacement due east = 2km
Time taken = 8 minutes
Unknown:
Average velocity = ?
Solution:
Average velocity is the rate of change of displacement with time.
Velocity = 
Displacement is deals with the start and the end;
Here, displacement = 3km - 2km = 1km due east
Time = 8min
60min = 1hr
8min =
= 0.13hr
Average velocity =
= 7.69km/hr due east