All categories

2 years ago

Two planets X and Y travel counterclockwise in circular orbits about a star, as seen in the figure.

Physics

1 answer:

sergeinik [125]2 years ago

8 0

Planet Y has rotated by 135.5° through during this time.

To find the answer, we need to know about the relation between angle and radius of orbit.

<h3>What's the expression of angle in terms of radius?</h3>

Angle= arc/radius
As arc = orbital velocity × time,

angle= (orbital velocity × time)/radius

Orbital velocity= √(GM/radius), G= gravitational constant and M = mass of sun
So, angle = (√(GM)× time)/radius^3/2

<h3>What's is the angle rotated by planet Y after 5 years, if ratio of the radius of orbit of planet X and Y is 4:3 and planet X is rotated by 88°?</h3>

Let Ф₁= angle rotated by planet Y, Ф₂= angle rotated by planet X
As time = 5 years ( a constant)
Ф₁/Ф₂= (radius of planet X / radius of planet Y)^(3/2)
Ф₁= (radius of planet X / radius of planet Y)^(3/2) × Ф₂

= (4/3)^(3/2) × 88°

= 135.5°

Thus, we can conclude that Planet Y has rotated by 135.5° through during this time.

Learn more about the orbital velocity here:

brainly.com/question/22247460

#SPJ1

You might be interested in

What is the final speed of a 60 kg boulder dropped from a 111 meter cliff

saveliy_v [14]

After rolling off the edge of the cliff and falling ' M ' meters down,
the speed of the boulder is

Square root of ( 19.6 M ) .

If M=111 meters, then the speed is <em>46.64 meters per second</em>.

We have known for roughly 500 years that if there's no air resistance,
the mass of the falling object makes no difference, and all objects fall
with the same acceleration, speed, time to splat, etc.

3 0

3 years ago

Select the correct statement to describe when a sample of liquid water vaporizers into water vapor

AnnyKZ [126]

From what I know; When a sample of liquid water vaporizes into water vapor, the electrons in the water sped up due to heat.

4 0

4 years ago

The efficiency of a machine is always less than 100% because part of the energy input is used to

Travka [436]

Answer:

C. Overcome Friction

Explanation:

When using any machine usually those with moving parts, you may notice heat forming near the areas where most movement occurs. As friction continues, more energy is used up and released as heat. For that reason, the efficiency of a machine will forever be less than 100%

5 0

3 years ago

The formula K2S indicates that

jekas [21]

There are two atoms of potassium bonded to one atom of sulfur.

4 0

4 years ago

Calculate the radius of the orbit of a proton moving at 2.2x10^6 m/s in a magnetic field 0.7 T where v and B are perpendicular.

Juliette [100K]

Answer:

3.28 cm

Explanation:

To solve this problem, you need to know that a magnetic field B perpendicular to the movement of a proton that moves at a velocity v will cause a Force F experimented by the particle that is orthogonal to both the velocity and the magnetic Field. When a particle experiments a Force orthogonal to its velocity, the path it will follow will be circular. The radius of said circle can be calculated using the expression:

r = $\frac{mv}{qB}$

Where m is the mass of the particle, v is its velocity, q is its charge and B is the magnitude of the magnetic field.

The mass and charge of a proton are:

m = 1.67 * 10^-27 kg

q = 1.6 * 10^-19 C

So, we get that the radius r will be:

r = $\frac{1.67 * 10^-27 kg * 2.2*10^6 m/s}{1.6 * 10^-19 C* 0.7 T}$ = 0.0328 m, or 3.28 cm.

8 0

3 years ago