The magnitude<span> of a </span>velocity<span> vector is </span>called<span> speed. Supposethat a wind is blowing in from the direction at a speed of 50 km/h. (This meansthat the direction from which the wind blows is west of the northerly direction.) Apilot is steering a plane in the direction at an airspeed (speed in still air) of250 km/h
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Answer:
Explanation is in the picture and the answer is 16
Answer:
The pressure is 
Explanation:
From the question we are told that
The volume of the container is 
The mass of
is
The root-mean-square velocity is 
The root -mean square velocity is mathematically represented as

Now the ideal gas law is mathematically represented as

=> 
Where n is the number of moles which is mathematically represented as

Where M is the molar mass of
So

=> 
=> 
=> 
substituting values
=> 
=> 
Answer:

Explanation:
The potential energy of the spring or the work done by the spring is given by :
............(1)
k is the spring constant
d is the compression
When the spring is compressed a distance d' = d/3, let W' is the work is required to load the second dart. Then the work done is given by :

.............(2)
Dividing equation (1) and (2) :



So, the work required to load the second dart compared to that required to load the first is one-Ninth as much. Therefore, the correct option is (E).
Answer:


Explanation:
The bulldozer is moving the rocks as one system, the weigth for the complete system is:

From newton´s second law the acceleration can be related to the force by:

on the middle rock we have the force F12 from the first to the middle rock on the direction of movement and F32 from the las rock to the middle rock on the opposite direction of movement.
For the last rock to accelerate at the same rate it must be subjected to a force:

This equals the force F32 on the opposite direction. the resultant force on the middle rock to mantain this acceleration should be:

The sum of all the forces applied to the middle rock is:

Solving for F12:
