Ask question

Ask question

All categories

2 years ago

6

A satellite orbiting Earth at an orbital radius r has a velocity v. which represents the velocity if the satellite is moved to a

n orbital radius of 3r?

1 answer:

babunello [35]2 years ago

8 0

Answer:

Option 2. √3 x V

Explanation:

Let the velocity of satellite orbiting Earth at r be V

Let the velocity of the satellite orbiting at 3r be V1

V (orbiting at r) = √(2gr)

V1 (orbiting at 3r) = √(2g3r)

Now let us find the ratio of V1(orbiting at 3r) to V(orbiting at r) .

This is illustrated below

V1 / V = √(2g3r)/√(2gr)

V1 / V = √3

Cross multiply to express in linear form

V1 = V x√3

V1 = √3 x V

From the above illustrations, we can see that the velocity of the satellite when it is moved to an orbital radius of 3r is: √3 x V

You might be interested in

Josh is designing a lab to separate a mixture of salt and water. He looks at all the ways to separate a mixture but decides that

dalvyx [7]

The best method to separates mixture of salt and water is evaporation. Take a small sample of mixture in a china dish. Heat it till all water evaporate. The residual remain is salt. Josh should use this method to separate salt from water.

8 0

2 years ago

Read 2 more answers

If forces acting on an object are unbalanced, which factor may result from an unbalanced force? A.The net force is negative. B.T

bezimeni [28]

Answer:

<h2>A. The net force is negative.</h2>

Explanation:

just took the test :)

4 0

2 years ago

Read 2 more answers

Compared to a plane gravitational pull on the ground to 7 miles in sky is what

Citrus2011 [14]

When you're in an airplane that's 7 miles up off the ground, the strength of gravity plunges to only 99.6 percent of its strength all the way down on the ground. A big heavy person, who weighs 200 pounds down at the airport, weighs only 199 pounds 4.7 ounces in a plane at the altitude of 7 miles.

4 0

2 years ago

Volcano has both useful and harmful effects give reason

alina1380 [7]

Answer:

harmful effects

1. that will cause air pollution

2. that will destroy our earth

3 0

2 years ago

Read 2 more answers

Instead of moving back and forth, a conical pendulum moves in a circle at constant speed as its string traces out a cone (see fi

tigry1 [53]

Answer:

a

The radial acceleration is $a_c = 0.9574 m/s^2$

b

The horizontal Tension is $T_x = 0.3294 i \ N$

The vertical Tension is $T_y =3.3712 j \ N$

Explanation:

The diagram illustrating this is shown on the first uploaded

From the question we are told that

The length of the string is $L = 10.7 \ cm = 0.107 \ m$

The mass of the bob is $m = 0.344 \ kg$

The angle made by the string is $\theta = 5.58^o$

The centripetal force acting on the bob is mathematically represented as

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

Now From the diagram we see that this force is equivalent to

$F = Tsin \theta$ where T is the tension on the rope and v is the linear velocity

So

$Tsin \theta = \frac{mv^2}{r}$

Now the downward normal force acting on the bob is mathematically represented as

$Tcos \theta = mg$

So

$\frac{Tsin \ttheta }{Tcos \theta } = \frac{\frac{mv^2}{r} }{mg}$

=> $tan \theta = \frac{v^2}{rg}$

=> $g tan \theta = \frac{v^2}{r}$

The centripetal acceleration which the same as the radial acceleration of the bob is mathematically represented as

$a_c = \frac{v^2}{r}$

=> $a_c = gtan \theta$

substituting values

$a_c = 9.8 * tan (5.58)$

$a_c = 0.9574 m/s^2$

The horizontal component is mathematically represented as

$T_x = Tsin \theta = ma_c$

substituting value

$T_x = 0.344 * 0.9574$

$T_x = 0.3294 \ N$

The vertical component of tension is

$T_y = T \ cos \theta = mg$

substituting value

$T_ y = 0.344 * 9.8$

$T_ y = 3.2712 \ N$

The vector representation of the T in term is of the tension on the horizontal and the tension on the vertical is

$T = T_x i + T_y j$

substituting value

$T = [(0.3294) i + (3.3712)j ] \ N$

3 0

2 years ago