Answer:
<em>The resultant velocity has a magnitude of 38.95 m/s</em>
Explanation:
<u>Vector Addition</u>
Given two vectors defined as:


The sum of the vectors is:

The magnitude of a vector can be calculated by

Where x and y are the rectangular components of the vector.
We have a plane flying due west at 34 m/s. Its velocity vector is:

The wind blows at 19 m/s south, thus:

The sum of both velocities gives the resultant velocity:

The magnitude of this velocity is:


d = 38.95 m/s
The resultant velocity has a magnitude of 38.95 m/s
Answer:
The moment of inertia is 
Explanation:
The moment of inertia is equal:

If r is 
and 


Take the 72 g and divid it by 6 which would equal 12 g each
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Answer:
Fnet = 0
Explanation:
- Since the block slides across the floor at constant speed, this means that it's not accelerated.
- According Newton's 2nd Law, if the acceleration is zero, the net force on the sliding mass must be zero.
- This means that there must be a friction force opposing to the horizontal component of the applied force, equal in magnitude to it:

- In the vertical direction, the block is not accelerated either, so the sum of the normal force and the vertical component of the applied force, must be equal in magnitude to the force of gravity on the block:

⇒ 169 N + Fn = Fg = 216 N (3)
- This means that there must be a normal force equal to the difference between Fappy and Fg, as follows:
- Fn = 216 N - 169 N = 47 N (4)