1.The Curiosity Rover has recently landed on Mars and likes to send Twitter updates on its progress. If a tweet is posted 13 minutes after it was sent, how far is Curiosity from Earth? (Assume there is no network lag.)
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1.The Curiosity Rover has recently landed on Mars and likes to send Twitter updates on its progress. If a tweet is posted 13 minutes after it was sent, how far is Curiosity from Earth? (Assume there is no network lag.)
______________ m
2.You've entered the Great Space Race. Your engines are hearty enough to keep you in second place. While racing, the person in front of you begins to have engine troubles and turns on his emergency lights that emit at a frequency of 5.720 1014 Hz. If the person in front of you is traveling 2692 km/s faster than you when he turns on his lights, what is the frequency of the emergency lights that you observe when it reaches you in your spaceship? (Enter your answer to four significant figures.)
___________Hz
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- 2. The simplest way to increase the size of a circular orbit is method called a Hohmann Transfer (transfers the satellite from a small circular orbit to a larger one). It involves firing thrusters to create a change in velocity to get the satellite into a transfer orbit (elliptical), then later firing the thrusters again for another change in velocity to increase the size of the orbit (back to circular). Diagram: b Avb Transfer Initial Final Ava a Let us say we have the satellite from the previous problem in a circular orbit. We want to increase the altitude of the circular orbit from 418 km to 1000 km. (a) Find the change in velocity necessary to go into the transfer orbit, Ava. (b) Find the change in velocity necessary to go into the final circular orbit, Av. (c) How long will the transfer take? Constants needed: = G = 6.674 × 10-11 Nm² ²/kg² Re = 6.378 x 106m Mo 5.974 x 1024 kg1. using Newton’s Law of Universal Gravitation and some kinematics calculation we can calculate the mass of the planet. For this, use this equation below: ?planet =(9.340×1024)×(vmax)×(Pstar)1/3×(Mstar)2/3 Given: - vmax = 1.5 m/s - Pstar = 3.5 days - Mstar = 1.148 Msun, where Msun = 1.98847×1030 kg. This calculation is not shown.6. A synchronous orbit is an orbit about a planet's equator that always remains above the same spot of the planet because the synchronous orbit matches the planet's rotational period. The pilot of the Mars spacecraft (which was named Cheetah 1 and had a 9556 kg mass) asked Tarzan to calculate the altitude of a synchronous orbit so they could remain over a particular geological feature on the Martian equator. Calculate the altitude above the Martian equator using the data above and Johannes Kepler's genius.
- 505 15- 10- U (m/s) 0 -54 -10- -15- t(s) Figure 1. Velocity versus time in the vertical direction. 1. A 0.5 kg ball is thrown on another planet. Figure 1 shows the ball's vertical (y) velocity. The ball has a horizontal (x) velocity of 10 m/s. Find the gravitational acceleration on this planet. 2. At what time is the ball at the top? 3. Write an equation for the vertical displacement and find the vertical displacement when the ball is at the top of its path. 4. Write an equation for the horizontal displacement and find the horizontal displacement when the ball is at the top of its path. 5. What is the weight of the ball?14.) A hypothetical planet has a radius 2.1 times that of Earth, but has the same mass. What is the acceleration due to gravity near its surface? Express your answer to two significant figures and include the appropriate units. gplanet= ____________ ______________ 15.) A 1400-NN crate rests on the floor. a.) How much work is required to move it at constant speed 5.0 mm along the floor against a friction force of 330 NN . Express your answer to two significant figures and include the appropriate units. Wp= ____________ _____________ b.) How much work is required to move it at constant speed 5.0 mm vertically. Express your answer to two significant figures and include the appropriate units. Wp= _____________ ______________4. Drag the moon to various locations in order to determine the quantitative effect of distance upon the gravitational force. Examine the effect of doubling, tripling and quadrupling the distance of separation (as measured from planet's center). Consider the planet's surface to be a distance of one Earth-radius (1 Rplama). Use the following table to record data for whole-number multiples of Rane. Separation Force (fictional units) Distance 2 R 3 R 4 R 5 R 6 R 7 R 8 R 9 R 10 R 11 R 12 R 21.1 pianet planet pianet planet planet planet planet planet planet planet planet Use your data to complete the following sentences. If the separation distance between the moon and the planet is ... increased by a factor of 2, then the Fgrav is olecredsed by a factor of a. ...
- You have negotiated with the Omicronians for a base on the planet Omicron Persei 7. The architects working with you to plan the base need to know the acceleration of a freely falling object at the surface of the planet in order to adequately design the structures. The Omicronians have told you that the value is gOP7=7.29 flurg/grom^2, but your architects use the units meters/second^2, and from your previous experience you know that both the Omicronians and your architects are terrible at unit conversion. Thus, it's up to you to do the unit conversion. Fortunately, you know the unit equality relationships: 5.24flurg=1meter and 1grom=0.493second. What is the value of gOP7 in the units your architects will use, in meter per second squared?Two meteoroids are heading for earth. Their speeds as they cross the moon's orbit are 1.0 km/s. Part A The first meteoroid is heading straight for earth. What is its speed of impact? Express your answer with the appropriate units. ► View Available Hint(s) V1 = Submit Part B ¹ μA v2 = Value The second misses the earth by 5500 km. What is its speed at its closest point? Express your answer with the appropriate units. ► View Available Hint(s) CHμA Units Value (2 ? Units ?Suppose astronomers found evidence of an earth-like planet 20 lightyears away. a) what may be two ethical considerations that one may consider when deciding if humans should travel to this planet? b) how fast would a spaceship need to travel if the roundtrip can no take longer than 40 years for the astronauts? c) how much time will the trip take according to the people on earth?
- Part D of the question, "What is the value of g on planet Exidor" is not correct according to my homework. I'm not sure how to find the g.The highest mountain on Mars is Olympus Mons, rising 22 000 meters above the Martian surface. If we were to throw an object horizontally off the mountain top, how long would it take to reach the surface? (Ignore atmospheric drag forces and use gMars = 3.72 m/s2.)