A) the final velocity = 66/9 m/s.
b) The total momentum before and after collision is the same because energy is destroyed or made.
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Answer:
Δx = 1.2 m
Explanation:
The CHANGE of spring length) (Δx) can be found using PS = ½kΔx²
Δx = √(2PS/k) = √(2(450)/650) = 1.17669... ≈ 1.2 m
The actual length of the spring is unknown as it varies with material type, construction method, extension or compression, and other variables we have no clue about.
 
        
             
        
        
        
Answer:
- < 25 m/s
- triangle inequality
- between north and east
- 45° < angle < 60°
Explanation:
(a) Just as one-dimensional numbers add on a number line by putting them end-to-end, so two-dimensional numbers add on a coordinate plane the same way. 
Here, we choose to let the positive y-axis represent North, and the positive x-axis, East. This is the way a map is conventionally oriented. The velocity of the plane is represented by a vector pointing north (up). Its length represents the magnitude of the velocity. Likewise, the wind is represented by a vector of length 15 pointing east (right). The sum of these is the hypotenuse of the triangle they form.
The magnitude of the sum can be found here using the Pythagorean theorem, but for the purpose of this question, you're not asked to find that.
Instead, you're asked to estimate whether it is more or less than 25 (m/s).
Your knowledge of the triangle inequality will tell you that the hypotenuse (resultant) must be shorter than the sum of the lengths of the sides of the triangle, hence must be less than 10+15 = 25.
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(b) The triangle inequality says the resultant is less than the sum of the other two sides of the triangle.
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(c) Since the wind is blowing the plane toward the east, but the plane is traveling toward the north, the resulting direction is somewhere between north and east.
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(d) "Somewhere between north and east" can be expressed as the inequality ...
   0° < angle < 90°
 
        
             
        
        
        
Answer:
What was not required by the Massachusetts Education law of 1642 is;
Children were to be sent to designated schoolmaster for their learning
Explanation:
The Law of 1642 required that parents and master see to it that their children knew the principles of religion and the capital laws of the commonwealth.
The important aspects of the 1642 Law includes;
1) The responsibility for the basic education and literacy of a child are those of the parents and masters of child apprentices
2) Reading and writing competency of all children and servants are a requirement
3) It is the duty of the government, where a parent or master are unable to meet their tutoring responsibility, to see that a child is placed where the basic educational requirement will be met.
The role of a schoolmaster or the setting of a formal school were yet to be formed as at that time.
 
        
             
        
        
        
Answer:
Gas 2, Gas 3, Gas 4, Gas 5 is the order of decreasing strength of inter-molecular forces.
Explanation:
The strength increases as there is a decrease in the vanderwaals constant and vice versa.