Homework Answers
Question 2:
When the Kepler’s law is written as P 2 = a 3, the the Kepler’s 3rd law is applicable to:
a) any object orbiting our Sun.
Because, Kepler's laws of a planetary motion are three laws that describe the movement of planets around the sun.
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Question 2: When written as P? -a Kepler's 3rd Law (with P in years and a...
Newton's version of Kepler's Law Force Example Use what we know about the earth's orbit to estimate the...
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+...
Derive Kepler's 2^nd law from conservation of angular momentum Derive Kepler's 3^rd law from Newton's laws...
Derive Kepler's 2^nd law from conservation of angular momentum Derive Kepler's 3^rd law from Newton's laws of motion and gravitation for a circular tool You have landed a job with Space X as a space physicist. Your first job is to launch a satellite. The plan is to lift off from the surface of the Earth and then insert the satellite into an elliptical transfer orbit with its perigee at A and apogee at A'. The spacecraft will be unpowered...
Keplers law (as we shall see can be generalised to p sa'ns, for the period in...
Keplers law (as we shall see can be generalised to p sa'ns, for the period in years and the semimajor axis in AU as before but now adding in the mass of the object being orbited in terms of the mass of the Sun (ie. M-mass of object being orbited/M What is the orbital period of an object orbiting a star of mass 0 25 Msun at 4AU? Select one: O a 2 years O b. 4 years O c....
In Lecture 4, we discussed Kepler’s third law relatingthe orbital period of a planet (p) to...
In Lecture 4, we discussed Kepler’s third law relatingthe orbital period of a planet (p) to the semi-major axis (orbital distance, a) of its orbit(p2= a3). We can apply this law as long the object orbits the Sun or another object of the same mass, and the units of orbital period are in (Earth) years and the orbital distance is in Astronomical Units(AU). [1AU is equal to the distance between the Earth and the Sun]. [Note: Newton extended this law...
Show that Brewster's Law (where the incident angle i = p ) and Snell's Law together...
Show that Brewster's Law (where the incident angle i = p ) and Snell's Law together imply that p +2 = 90 degrees. We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
6. Using Nowton's version of Kepler's Third Law (15 points). a) (5pt) Compute the semimajor the...
6. Using Nowton's version of Kepler's Third Law (15 points). a) (5pt) Compute the semimajor the mass of the Sun from the fact that the Earth's orbital period is 1 year and axis is 1 AU. Assume that the mass of the Earth is much smaller than the mass of the Sun. Is this assumption justified? pt) Compute the orbital period of a cubesat orbiting the Earth at an altitude of 400 km above the Earth's surface. c) (5pt) Estimate...
Suppose we decide to send a spacecraft to Saturn, using one transfer orbit that connects the...
Suppose we decide to send a spacecraft to Saturn, using one
transfer orbit that connects the earth to Saturn. Craft starts in a
circular orbit (centering the Sun) close to Earth (radius 1 AU) and
is to end up in another orbit near Saturn (radius 10 AU). Ignore
the effects of other planets in the solar system.
a) Find the eccentricity
of the transfer orbit that gives the shortest time of travel.
b) Use Kepler's third law to estimate the...
QUESTION 4 1 points Using Newton's revision of Kepler's third law, calculate the mass (in solar...
QUESTION 4 1 points Using Newton's revision of Kepler's third law, calculate the mass (in solar masses) of a star where an Earth like planet orbits it with a semi-major axis of 9 AU and a period of 4.87 Earth years. Recall that for an Earth-like planet, its mass is negligible compared to that of the star. Report your answer to two decimal places
Let be a prime and let be the set of rational numbers whose denominator (when written...
Let be a prime and let be the set of rational numbers whose denominator (when written in lowest terms) is not divisible by . i) Show, with the usual operations of addition and multiplication, that is a subring of . ii) Show that is a subring of . iii) Is a field? Explain. iv) What is where is the set of all fractions with denominator a power of We were unable to transcribe this imageWe were unable to transcribe this...
The change in momentum after a collision can be written as the difference between the momentum...
The change in momentum after a collision can be written as the difference between the momentum before and after the collision △ p = m ( v f − v i ) = m △ v What is another way to write this same change in momentum after a force was applied over a given change in time. OPTIONS a. △p=F△t b. △p=F△t2 c. △p=△tF d. We were unable to transcribe this imageWe were unable to transcribe this imageWe were...
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+...
Derive Kepler's 2^nd law from conservation of angular momentum Derive Kepler's 3^rd law from Newton's laws of motion and gravitation for a circular tool You have landed a job with Space X as a space physicist. Your first job is to launch a satellite. The plan is to lift off from the surface of the Earth and then insert the satellite into an elliptical transfer orbit with its perigee at A and apogee at A'. The spacecraft will be unpowered...
Keplers law (as we shall see can be generalised to p sa'ns, for the period in years and the semimajor axis in AU as before but now adding in the mass of the object being orbited in terms of the mass of the Sun (ie. M-mass of object being orbited/M What is the orbital period of an object orbiting a star of mass 0 25 Msun at 4AU? Select one: O a 2 years O b. 4 years O c....
6. Using Nowton's version of Kepler's Third Law (15 points). a) (5pt) Compute the semimajor the mass of the Sun from the fact that the Earth's orbital period is 1 year and axis is 1 AU. Assume that the mass of the Earth is much smaller than the mass of the Sun. Is this assumption justified? pt) Compute the orbital period of a cubesat orbiting the Earth at an altitude of 400 km above the Earth's surface. c) (5pt) Estimate...
Suppose we decide to send a spacecraft to Saturn, using one
transfer orbit that connects the earth to Saturn. Craft starts in a
circular orbit (centering the Sun) close to Earth (radius 1 AU) and
is to end up in another orbit near Saturn (radius 10 AU). Ignore
the effects of other planets in the solar system.
a) Find the eccentricity
of the transfer orbit that gives the shortest time of travel.
b) Use Kepler's third law to estimate the...
QUESTION 4 1 points Using Newton's revision of Kepler's third law, calculate the mass (in solar masses) of a star where an Earth like planet orbits it with a semi-major axis of 9 AU and a period of 4.87 Earth years. Recall that for an Earth-like planet, its mass is negligible compared to that of the star. Report your answer to two decimal places
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