The fraction of the kinetic energy of the ball lost during the collision is
.
The given parameters;
- <em>initial speed of the ball, = vi</em>
- <em>final momentum of the ball, Pf = ¹/₃Pi</em>
The initial and final momentum of the ball is calculated as;


The initial and final kinetic energy of the ball is calculated as;

The change in the kinetic energy is calculated as;

Thus, the fraction of the kinetic energy of the ball lost during the collision is
.
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When the object is at equilibrium and the object is just freely hanging from the cord, then the summation of forces along the y direction would just be the tension of the cord and the weight of the object. Since both forces are opposite in direction, at equilibrium, they are equal. Hence, in this case, the tension is also equal to 52 N.
The satellite with more mass will definitely have a higher speed. The correct option among all the options that are given in the question is the first option. Although the satellite having more mass should have a larger mass difference to have a noticeable speed change. Otherwise it would be hard to detect the speed change. Also we know that
orbit speed = proportional to square root[(Mass of Earth + Mass of Satellite)/orbit radius]. This explains the answer. <span />
Magnets with the same polarity (N-N or S-S) repel one another along the same direction. This agrees to the common rule that like poles repel and unlike poles attract. Hope this answers the question. Have a nice day. Feel free to ask more questions.
Answer:
(a) Increase 16 times
Explanation:
According to the Poiseuille flow equation the rate of flow of fluid is directly related to four time square of the radius of the vessel.

Here, F is the rate of flow, and r is the radius of vessel.
Now according to the question diameter is increased by 2 times then radius is also increased by two times than radius becomes 2r.
So put this value in the flow equation.

Therefore, the rate of flow is increased by 16 times.