a space ship is in a uniform circular orbit 633 km above the surface of a distant planet. the period of the orbit is 108 minutes. what is the speed of the space ship? (note: you have to take into account not only the altitude of the space ship, but the planet's radius also. the radius of the planet is 6550 km.) your answer should be in m/s (don't forget to convert km to m):

Answers

Answer 1

R = 6550000 m

r = 633000 m

T = 108 min = 6480 s

v = d/T

Distance = circumference = 2πr

v = 2π(R+r)/T

v = 2π(6550000m+633000m)/6480s

v = 6964.83334282 m/s

Answer 2

The speed of the spaceship is approximately 7637.6 m/s.

To find the speed of the spaceship, we need to use the equation for circular motion:

v = (2πr) / T

where v is the speed of the spaceship, r is the total distance from the center of the planet to the spaceship, and T is the period of the orbit.

Since the spaceship is 633 km above the surface of the planet and the radius of the planet is 6550 km, the total distance from the center of the planet to the spaceship is:

r = 633 km + 6550 km = 7183 km

Converting km to m, we get:

r = 7183000 m

The period of the orbit is 108 minutes, which is equivalent to:

T = 108 minutes × 60 seconds/minute = 6480 seconds

Now we can plug in these values to find the speed of the spaceship:

v = (2π × 7183000 m) / 6480 seconds = 7637.6 m/s

Therefore, the speed is 7637.6 m/s.

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Related Questions

if the block does reach point b, how far up the curved portion of the track does it reach, and if it does not, how far short of point b does the block come to a stop?

Answers

The block reaches point B if it has enough kinetic energy to overcome the potential energy at that point. If not, it will stop short of point B.

To find how far up the curved track the block reaches, follow these steps:

1. Calculate the block's initial kinetic energy (KE) using the formula KE = 0.5 * m * v², where m is the mass of the block and v is its initial velocity.


2. Determine the potential energy (PE) at point B using the formula PE = m * g * h, where g is the acceleration due to gravity and h is the height of point B.


3. Compare the initial kinetic energy and the potential energy at point B.


4. If KE >= PE, the block reaches point B. If KE < PE, the block stops short of point B.


5. To find the stopping point, equate the initial kinetic energy to the potential energy at the stopping point: KE = m * g * h_stop.


6. Solve for h_stop to find how far short of point B the block stops.

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how might lighting shape the design of a room? question 4 options: when measuring the size of windows in a space when arranging furniture around a focal point when choosing a lamp in the same style as the rest of the space when strategically placing lamps to provide adequate lighting

Answers

Lighting is very important in determining the design of a room. When constructing a place, it is critical to consider natural light sources and how to supplement them with artificial lighting.

These are some examples of how lighting may influence space design: When evaluating the size of windows in a space, keep in mind that the size and position of windows in a room can affect the amount and quality of natural light that enters the area. Measuring windows and selecting proper window coverings may help to improve natural light while also contributing to the overall style of the room. When arranging lights strategically to produce appropriate lighting: Lamps carefully placed throughout a space may generate distinct moods and highlight key regions or things. For instance.

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q6. what will be your coordinate system? (sketch the axes on this photo below). will both your motion sensors use that coordinate system by default (and if not, how can you handle that)?

Answers

A coordinate system is a system of coordinates used to locate positions on a plane or in Space. It is used to specify the position of a point in space.

The most common coordinate system is the Cartesian coordinate system, which uses two axes, the x-axis and y-axis, to represent the position of a point in space. The x-axis is the horizontal axis, and the y-axis is the vertical axis. The origin, or (0,0), is the point where the two axes intersect.Motion sensors are devices that detect the movement of objects.

They are used in a variety of applications, such as robotics, gaming, and security. Motion sensors can be used to detect the movement of objects in a specific direction or to detect the presence of objects in a certain area.

They can also be used to detect changes in temperature or light levels.Both motion sensors will use the same coordinate system by default. If they do not, it can be handled by adjusting the settings on the sensors. The coordinate system should be clearly marked on the graph paper or other surface used to plot the motion of the objects being measured.

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825 kg car outputs 36,181 watts, going at 13 m/s. going up a 2.85 meter hill, how long does the acceleration take

Answers

It takes approximately 20.09 seconds for the car to accelerate up the 2.85 meter hill.

potential energy =[tex]m * g * h[/tex]

where m = 825 kg (mass of the car), g = 9.81 m/s^2 (acceleration due to gravity), and h = 2.85 m (height of the hill)

potential energy = 825 kg * 9.81 m/s^2 * 2.85 m

potential energy = 22,571 J

work = kinetic energy + potential energy

where kinetic energy = 1/2 * m * v^2

and v = 13 m/s (velocity of the car)

kinetic energy = 1/2 * 825 kg * (13 m/s)^2

kinetic energy = 703,612 J

work = 703,612 J + 22,571 J

work = 726,183 J

power = work / time

where power = 36,181 watts (output power of the car's engine)

time = work / power

time = 726,183 J / 36,181 W

time = 20.09 seconds

Acceleration can be caused by various forces, such as gravity, friction, or a pushing or pulling force. For example, when a car accelerates, the engine produces a force that propels the car forward, increasing its speed. When a skydiver jumps out of a plane, gravity causes the diver to accelerate towards the ground.

In addition to its use in physics, the term "accelerate" is also used in a broader sense to describe the process of speeding up or increasing the pace of something. For example, a company may accelerate its production schedule to meet a deadline, or an athlete may accelerate their training to improve their performance. In these contexts, acceleration refers to an increase in the rate or intensity of a process, rather than a change in velocity.

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