What is the discharge of a stream that is one meter deep, two meters wide, and has a water flow of 5 meters per second

A comet is first seen at a distance of d astronomical units from the Sun and it is traveling with a speed of q times the Earth’s

saw5 [17]

To solve this problem it is necessary to take into account the concepts of Gravitational Force and Kinetic Energy.

The kinetic energy is given by the equation:

$F= \frac{mv^2}2$

La energía gravitacional por,

$F=\frac{GM_cm}{d}$

Where m is the mass, v is the velocity, G the gravitational constant $M_e$ the mass of the earth, m the mass of the sun and d the distance ..

The sum of the energies, we must be a total energy

$E= \frac{mv^2}2+\frac{GM_em}{d}$

By the type of orbit we know that

E> 0 is a hyperbolic orbit

E = 0 is a parabolic orbit

E <0 is a closed orbit.

In the case of hyperbolic orbit

E>0

$\frac{mq^2}{2}-\frac{GM_em}{d}>0\\\frac{qv^2_e}{2}>\frac{GM_em}{d}\\q^2d>2\frac{GM_e}{v^2_e}\\q^2d>2$

The case of the comet is a closed orbit, so,

E<0

$\frac{mv^2}2+\frac{GM_em}{d}$

For parabolic orbit

E=0

$\frac{mv^2_eq^2}{2}-\frac{GM_cm}{d}=0\\\frac{v^2_eq^2}{2}=\frac{GM_c}{d}\\q^2d=2\frac{GM_e}{v^2_e}\\q^2d=2$

For the sun and the earth

$\frac{m_ev_e^2}{r}=\frac{GM_em_e}{r^2}$

$v^2_e=\frac{GM_e}{r}\\\frac{GM_e}{v_e}=r$

where $R \approx 1AU$

$q^2d$ For elliptical orbit

8 0

3 years ago

What is an example of a renewable natural resource?

marin [14]

Answer:

Biomass energy, Wind Energy, Hydro-power, Solar energy are some of the most utilized naturally occuring renewable resources.

6 0

3 years ago

How does increased pressure result in the formation of a mineral?

drek231 [11]

The best answer is
A) <span>The atoms in the mineral get rearranged

Over time, and under great pressure, the atoms of a substance can become rearranged, forming a new substance. For example, the intense pressure that carbon underground experiences, perhaps in the form of coal, can rearrange the atoms of the substance to create a diamond. </span>

5 0

3 years ago

An engine is used to lift a beam weighing 9,800 N up to 145 m. How much work must the engine do to lift this beam? How much work

Arturiano [62]

Explanation:

Given that,

Weight of the engine used to lift a beam, W = 9800 N

Distance, d = 145 m

Work done by the engine to lift the beam is given by :

W = F d

$W=9800\ N\times 145\ m\\\\W=1421000\ J\\\\W=1421\ kJ$

Let W' is the work must be done to lift it 290 m. It is given by :

$W'=9800\ N\times 290\ m\\\\W'=2842000\ J\\\\W'=2842\ kJ$

Hence, this is the required solution.

5 0

3 years ago

You are approaching a police car at 68. 1 mph and the police car is approaching you at 94. 8 mph. Assume that the speed of sound

Veronika [31]

We will hear the sound of siren of frequency 1553.4606 Hz.

<h3>What is Doppler Effect?</h3>

The apparent change in wave frequency brought on by the movement of a wave source is known as the Doppler effect. When the wave source is coming closer and when it is moving away, the perceived frequency changes. The Doppler effect explains why we hear a passing siren's sound changing in pitch.

according to Dopplers Effect,

$f'=[\frac{v + v_{0} }{v - v_{s} } ]f$

$f'= [\frac{700+68.1}{700-94.8} ]* 1224$

$f'= 1553.4606 Hz$

the frequency would be 1553.4606 Hz.

to learn more about Doppler Effect go to - brainly.com/question/9165991

#SPJ4

7 0

2 years ago