Respuesta :
Answer:
a) [tex]v \approx 28.010\,\frac{m}{s}[/tex], b) B. Time interval for stopping is greater.
Explanation:
a) The initial velocity is found with the help of the Principle of Energy Conservation:
[tex]K = U_{g}[/tex]
[tex]m\cdot g \cdot h = \frac{1}{2}\cdot m \cdot v^{2}[/tex]
[tex]v = \sqrt{2\cdot g \cdot h}[/tex]
[tex]v = \sqrt{2\cdot (9.807\,\frac{m}{s^{2}} )\cdot (40\,m)}[/tex]
[tex]v \approx 28.010\,\frac{m}{s}[/tex]
b) According to the Impact Theorem, the egg does not break on the grass since contact force is significantly lower and time interval is greater. Hence, the right answer is option B.
1) The water leaves the ground at a velocity of 28 m/sec. Therefore the correct option is B).
2) An egg dropped on the road usually breaks, while one dropped on the grass usually does not break because contact force is significantly lower and time interval is greater.
Given :
Yellowstone National Park shoots water every hour to a height of 40 m.
Solution :
1) From conservation of momentum -
KE = PE
[tex]\rm \dfrac{1}{2}mv^2 = mgh[/tex]
[tex]\rm v = \sqrt{2gh}[/tex] --- (1)
where,
[tex]\rm g = 9.8\;m/sec^2[/tex]
h = 40 m
Now put the values of g and h in equation (1) we get,
[tex]\rm v = \sqrt{2\times 9.8\times 40}[/tex]
v = 28 m/sec
2) According to the impact theorem, the egg does not break on the grass since contact force is significantly lower and time interval is greater. Therefore, the correct option is B).
For more information, refer the link given below
https://brainly.com/question/13949051
