If you take another earth's diameter (approx.) Then results will change accordingly.
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3. Scale model (15 points). Suppose we wanted to make a scale model of the Earth...
ASTRONOMY 4. Suppose we make a scale model of the Solar System in which the model Earth is 1 centimeter in radius (about the size of a piece of candy). The real Earth is 6.4x10"cm in radius. Jupiter is 7.1x10°cm in radius. How big must the scale model version of Jupiter be in order to be the right size relative to the Earth? 5. Kepler's Third Law of planetary motion relates the time, P, i takes a planet to complete...
Newton’s Cannon Imagine you fired a cannonball such that the range of that ball was slightly longer than the radius of the Earth. As that ball fell back down, it would miss the ground and continue to fall. If we can ignore any air resistance or collisions with other objects, then we can say the ball would continue to fall forever, just missing the ground, and thus be in orbit. Assume all orbits here are perfectly circular and pretend that...
1.) At what distance would a satellite orbiting the Earth be geosynchronous (orbiting the Earth once every 24 hours)? It would be geosynchronous at _________ × 104 m from the center of the Earth or __________× 104 m from the Earth's surface. 2.) Hydrogen also produces spectral lines at radio wavelengths, notably at 21.1 cm. If a galaxy is moving away from us at 9% of the speed of light, at what wavelength will we detect this line? Convert this...
Suppose you wanted to build a telescope capable of resolving a planet the size of Earth that is 17 light-years away. a. Calculate the angular diameter of Earth if it were that far. To see any detail on the surface, we would want to see an angular size about ten times smaller than this. b. Calculate the diameter of a telescope that would be needed to resolve this angular size if observing at 592 nm. Is this feasible?
The tidal forces between the Earth and the Moon slowed down the Moon's rotation about its own axis until the rotation period became equal to the Moon's orbital period around the Earth as we observe today. The same effect is also slowing down the Earth's rotation about its own axis and increasing the separation \(D\) between the Moon and the Earth at a rate of \(\Delta D / \Delta t=3.8 \mathrm{~cm}\) per year. In this problem, you can ignore the...
Newton's constant of gravitation G is 6.67×10-11 in the system of units we use with mass in kilograms, length in meters, and time in seconds. The radius of Earth is approximately 6.378 ×106 m, and its mass is 5.97 × 1024 kg. With all this you can evaluate conservation of energy from Earth's surface and find an escape velocity of about 11.2 km/s from Now suppose we wanted to orbit a spacecraft in low Earth orbit just a few hundred...
Newton's version of Kepler's Law Force Example Use what we know about the earth's orbit to estimate the mass of the sun. For this problem we can use Newton's form of Kepler's law Solving for the sum of the masses we get to use this law we need all our values to be kilograms, meters, and seconds. a 1AU-149.6x10P m and p- 1 year (365.25 days/year)(24 hours/day)(3600 seconds/hour)-3.15x 10" sec. Placing these values in to our equation we get M+...
8. 0/12.5 points | Previous Answers ZinPhysLS3 17.P020 We model the surface of Earth and a cloud layer at 975 m height as a parallel plate capacitor. (a) If the clouds cover an area of 1.6 km, what is the capacitance of our model (in nF)? (b) If an electric field strength exceeding 3.0 x 106 N/C causes lightning (the air becomes conducting), what is the maximum charge (in C) that can be present on the cloud layer? 40.95 (c)...
3) (10 pts) The Thirty Metre Telescope (TMT) is a 30m diameter telescope to be built on Mauna Kean in Hawaii. The Hubble Space Telescope is a 2.4m diameter telescope in orbit around the Earth. a) (2.5 pts) What are the angular resolutions of both telescopes when observing in "visible" light (1 = 550 nm)? How many times better or worse is the HST compared to the TMT? b) (2.5 pts) What are the angular resolutions of both telescopes when...
4. Use Kepler's Second Law and the fact that L-fxp to determine at which points in an elliptical orbit around the Sun a planet has maximum and minimum speeds. (Section 13.5 will help.) 5. At the end of example 13.10, there's an "Evaluate" blurb about how inside the surface of the Earth the force of gravity varies proportionally to the distance from the center, and it makes reference to the next chapter. which is about oscillation. Model the motion of...