In the case of no wind, the raindrop falls vertically along a straight line in the air. The air resistance f is directly proportional to the square of the raindrop velocity, f = Kv2. If the mass of a raindrop is m, the maximum kinetic energy of the raindrop is

When V is maximum, Mg = kV ^ 2 V ^ 2 = mg / K, w = 0.5mv ^ 2 = m ^ 2G / 2K

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1. Why is the stiffness coefficient of a spring related to its length? What is the root cause?
2. What is the stiffness coefficient after the spring with stiffness coefficient K is divided into two equal parts and paralleled
3. As shown in the figure, the original length of a spring is 20cm, which is suspended vertically. When the spring is pulled down vertically with 15N force, the spring length is 24cm; if it is erected on a horizontal table and pressed down vertically with 30n force, how long is the spring? (ignoring the self weight of the spring, the spring is always within the elastic limit)
4. If the lengths of three sides of a triangle are 15cm, 20cm and 25cm respectively, the height of the longest side of the triangle is?
5. The length of a spring is 20cm under 30n tension and 19cm under 20n tension?
6. The length of a spring under 30n tension is 20cm. When the length under 20n pressure is 15cm, what is the original length and progress coefficient of the spring To be specific,
7. The length of a spring is 20cm when a 4kg object is hung. Within the elastic limit, the length of the spring is 1.5cm when the weight of the object is increased by 1kg. Write out the equation of the relationship between the length of the spring y (CM) and the weight of the object x (kg)
8. The length of a spring is 20cm when a 4kg object is hung. Within the elastic limit, the length of the spring is 1.5cm when the weight of the object is increased by 1kg. Write out the equation of the relationship between the length of the spring y (CM) and the weight of the object x (kg)
9. The original length of a spring is 15cm, the mass part of the object it hangs can exceed 18kg, and the spring stretches 0.5cm for every 1kg of weight. The functional relationship between the spring length y (CM) and the mass x (kg) of the object after hanging is written, the value range of the independent variable x is explained, and its image is drawn
10. The original length of a spring is 12cm, and it will extend 0.5cm for every 1kg of hanging weight, and its hanging weight shall not exceed 10kg 1. Find the functional relationship between the length y (CM) of the spring after hanging and the hanging weight x (kg) 2. Write the value range of the independent variable 3. When the hanging weight is kg, the length of the spring is 16.4cm?
11. When an object with a weight of Mg falls vertically in the air, it is not only affected by gravity, but also by a resistance f which is proportional to the square of the velocity. Its size f = kV ^ 2, K is a positive constant. Then the final velocity of the falling object (that is, the velocity of the object when it finally moves at a constant speed) is______ ．
12. A small ball starts to fall from a standstill at a height of 18m. Suppose that the air resistance in the process of falling is always 0.1 times of gravity Find: (1) the acceleration of the ball (2) The speed of the ball when it lands
13. When the mass m hail falls from the height h, the resistance is directly proportional to the square of falling velocity, and the proportional coefficient is K. what is the maximum falling velocity of hail?
14. If the air resistance is proportional to the square of the velocity, the proportional coefficient is k, and the mass of the satellite is m, then the velocity of the satellite is? The speed is represented by K and m
15. If the resistance of an object with a mass of 2kg falling in the air is proportional to its velocity, the proportional coefficient k = 0.5N · s \, Try to find: 1, what is the final velocity of the object in the air? 2, when the velocity of the object is 20 m / s, what is the acceleration
16. If two raindrops fall from the air, their masses are M1 and M2 respectively, Before landing on the ground, the power ratio of gravity is 0
17. When a drop of rain falls from the air with enough height, the air resistance is proportional to the square of the velocity. How does the gravitational potential energy and kinetic energy of the drop change?
18. If the air resistance is directly proportional to the square of the object's velocity, and the air resistance is also directly proportional to the square of the object's cross-sectional area, can it be written as follows: If the air resistance is proportional to the square of the velocity of the object, the air resistance is also proportional to the square of the cross-sectional area of the object, Can it be written as: F = k.v & # 178;. S & # 178;
19. On the afternoon of May 31, this year, there was a hailstorm in Beijing urban area. Assuming that the mass of M hail fell from the height of H, in the process of falling, the resistance was proportional to the square of the falling speed of the hail, and the proportional coefficient was K, then the maximum speed that the hail could reach was______ (it can be considered that the mass of hail will not change in the process of falling)
20. An object with a mass of 2kg falls without initial velocity and is subjected to air resistance which is directly proportional to the square of velocity (the coefficient of proportionality is k), Find the velocity expression of the object at any time T. (please use the differential equation solution)