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Planet-X has a mass of 4.74×1024 kg and a radius of 5870 km. The First Cosmic Speed i.e. the speed of a satellite on a low lying

Tanya [424]

10,378.82 m/s is the second cosmic speed.

69,801 km is the radius of the synchronous orbit of a satellite.

Given

Mass of planet = 4.74 × $10^{24}$ kg

Radius of planet = 5870 km = 5870000m

First Cosmic speed = 7.34 km/sec

1) Second cosmic speed i.e. the minimum speed required for a satellite to break free permanently from the planet is also known as the escape velocity of a satellite.

It can be calculated by

v = √2GM/r where,

v= Escape velocity of the satellite

G = Gravitational constant

M = Mass of planet

r = Radius of planet

v = √[( 2 x 6.67 x 10⁻¹¹ x 4.74 x 10²⁴) / (5870 x 10³)]

v = 10,378.82 m/s

2) Speed of the satellite at the given period

v = 2πr/T where,

T= Time period of rotation = 16.6 × 3600 seconds

r = v×T/2π

r = (7,338.93 x 16.6 x 3600 s) / (2π)

r = 69,801 km

Hence

The Second Cosmic Speed i.e. the minimum speed required for a satellite to break free permanently from the planet is 10,378.82 m/s.

And the radius of the synchronous orbit of a satellite is 69,801 km.

Learn more about cosmic speed here brainly.com/question/15351190

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3 0

2 years ago

Two long, straight wires are parallel and 10 cm apart.One carries a current of 2.0 A, the other a current of 5.0A. (a) If the tw

lubasha [3.4K]

Answer:

Explanation:

Given

Distance between two wires $d=10 cm$

Current value $i_1=2 A$

$i_2=5 A$

(a)If current flows in opposite direction

When current Flows in opposite direction the two wires will repel each other

Force due to current carrying wire $F=\frac{\mu _0i_1i_2}{2\pi r}$

$F_{12}=F_{21}=\frac{\mu _0\times 2\times 5}{2\times \pi \times 0.1}$

$F_{12}=\frac{4\pi \times 10^{-7}\times 2\times 5}{2\pi \times 0.1}$

$F_{12}=2\times 10^{-5} N$ (Repulsive Force)

(b)If current is flowing in the same direction

When direction of current is same then force will be attractive in nature

$F_{12}=F_{21}=\frac{\mu _0i_1i_2}{2\pi r}$

$F_{12}=\frac{4\pi \times 10^{-7}\times 2\times 5}{2\pi \times 0.1}$

$F_{12}=2\times 10^{-5} N$ (attractive Force)

5 0

4 years ago

¿Cuál de las siguientes no es un tipo de fuerza de roce

Degger [83]

Enertia es el answer de tu question

8 0

3 years ago

If a planet has 3 times the radius of the Earth, but has the same density as the Earth, what is the gravitational acceleration a

xz_007 [3.2K]

Answer:

The Gravitational Acceleration of the Big planet is G = 3g

where G is the gravitational acceleration of the Big Planet and g is the gravitational acceleration of the Earth

So, it becomes G = 3 x 9.8 $ms^{-2}$

G = 29.4 $ms^{-2}$

Explanation:

Let's start by calculating the Density of the Earth of mass m anad Radius r

We know that mass is density times the volume

ρ = $\frac{m}{V}$

m = ρV

we know the volume is V = $\frac{4}{3}$ $πr^{3}$ (please ignore the symbol of Pi)

m = ρ $\frac{4}{3}$ $πr^{3}$

Calculating the Density of Big Planet

→For Big Planet we know that radius is 3-times the radius of Earth, that is 3r

M = ρ $\frac{108}{3}$ $π(r)^{3}$

So in conclusion, the mass of Earth and the mass of Big planet are related as M = 27m

Now let's come to the Gravitational Force, we know that gravitational force is directly proportional to the mass of the body and inversely proportional to the radius.

→Suppose for Earth: Mass = m, Radius = r

For Big Planet: Mass = M, Radius = R

$\frac{m}{r^{2} }$ : $\frac{M}{R^{2} }$ = g : G

$\frac{Gm}{r^{2} }$ = $\frac{gM}{R^{2} }$

G = $\frac{gMr^{2}}{mR^{2}}$

→ Putting the value of R = 3r and M = 27m

G = $\frac{g27mr^{2}}{m(3r)^{2}}$

By cutting the terms, we get

G = 3g

value of g= 9.8 $ms^{-2}$

G = 3 x $9.8ms^{-2}$

G = 29.4 $ms^{-2}$

5 0

4 years ago

Why does japan have so many volcanoes? •paragraph

AlladinOne [14]

Answer:

This reason is that Japan is located along the Pacific 'ring of fire' which is an area along the Pacific plate boundaries where there is a lot of volcanic activity

Explanation:

Japan also lies on the edges of several continental and oceanic plates so this is why Japan experiences a lot of earthquakes.

8 0

3 years ago