Explanation:
Given that,
A person walks 9.0 km directly east and then turns left and heads directly north for 12.0 km.
We need to find his displacement from the starting position.
We know that,
Displacement = shortest path covered

For direction,

Hence, this is the required solution.
Answer:
There are different of arrangements for the capacitors to work inside a given system, as there are two different form of arrangements for the capacitors to be in, which are:
- The parallel connections of capacitor,
- The series connections of capacitor.
Explanation:
The parallel connection of capacitor is comprised of capacitors having the unequal amount of current, ΔI. And has a same potential difference across the number of capacitors. And the equivalent amount of capacitance,ΔC is calculated by the following equation:
- ΔC(eq)=C₁ + C₂ + C₃ + C₄ + C(n),
For the series form of arrangements of the capacitors we have the different form of equation which can be explained by the total number of capacitors that are connected in series in combination as they are provided by the equal amount of current,ΔI across it, while the voltage or total amount of potential difference, Δv provided to the system is more different for each of the capacitor. And the equivalent amount of capacitance, ΔC(equivalent) can be determined by the following equation:
- 1/C(eq)=1/C₁+1/C₂+1/C₃+1/C(n).
Answer:
The value is 
Explanation:
From the question we are told that
The diameter of each wheel is 
The mass of the motorcycle is 
The rotational kinetic inertia is 
The mass of the rider is 
The velocity is 
Generally the radius of the wheel is mathematically represented as

=> 
=> 
Generally from the law of energy conservation
Potential energy attained by system(motorcycle and rider ) = Kinetic energy of the system + rotational kinetic energy of both wheels of the motorcycle
=> 
=> 
Here
is the angular velocity which is mathematically represented as

So

Here 


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