Answer:
3.1216 m/s.
Explanation:
Given:
M1 = 0.153 kg
v1 = 0.7 m/s
M2 = 0.308 kg
v2 = -2.16 m/s
M1v1 + M2v2 = M1V1 + M2V2
0.153 × 0.7 + 0.308 × -2.16 = 0.153 × V1 + 0.308 × V2
= 0.1071 - 0.66528 = 0.153 × V1 + 0.308 × V2
0.153V1 + 0.308V2 = -0.55818. i
For the velocities,
v1 - v2 = -(V1 - V2)
0.7 - (-2.16) = -(V1 - V2)
-(V1 - V2) = 2.86
V2 - V1 = 2.86. ii
Solving equation i and ii simultaneously,
V1 = 3.1216 m/s
V2 = 0.2616 m/s
Diagram B .... light shines through at an angle
Answer:
Explanation:
The root mean square velocity of the gas at an equilibrium temperature is given by the following formula:
where,
v = root mean square velocity of molecules:
R = Universal Gas Constant
T = Equilibrium Temperature
M = Molecular Mass of the Gas
Therefore,
For T = T₁ :
For T = T₂ :
Since both speeds are given to be equal. Therefore, comparing both equations, we get:
The evidence of this research is published in the scientific journal Nature communication.
<u>Explanation:</u>
Our solar system shaped about 4.5 billion years prior from a thick haze of interstellar gas and residue. The cloud crumbled, potentially due to the shock wave of a close by detonating star, called a supernova. At the point when this residue cloud crumbled, it framed a sun powered cloud—a turning, whirling plate of material.
The research is distributed in the latest issue of journal Nature Communications. About 4.6 billion years prior, a haze of gas and residue that in the end framed our nearby planetary group was upset. The following gravitational breakdown framed the proto-Sun with an encompassing plate where the planets were conceived.
Answer:
The vulture loses 6.1 m height
Explanation:
Please see the attached figure.
The horizontal distance and the loss of height form a 90º triangle.
The loss of height is the side opposite the given angle (3.5º) and the 100 m horizontal distance is adjacent the angle.
Then, using trigonometric rules:
(1) sin 3.5º = h / hyp
(2) cos 3.5º = distance / hyp
where
h = height lost during the flight.
hyp = hypotenuse of the triangle
Using (2) we can calculate the hypotenuse:
cos 3.5º = 100 m / hyp
hyp = 100 m / cos 3.5º = 100.2 m
with the hypotenuse we can now calculate the loss of height using (1):
sin 3.5º = h / hyp
sin 3.5º = h / 100.2 m
sin 3.5º * 100.2 m = h
<u>h = 6.1 m</u>
( very modest drop in height indeed!)