Where T = orbital period in Earth years and R = distance of the planet from the sun in A.U.’s. From this equation how would you describe the relationship between T2 and R3?
Q: How do electric field vectors, or field lines, relate to the equipotential lines? Draw and label the...
A: Equipotential lines at which electric potential remains same at each point. Work done = q (Vf - VI ...
Q: A 120-V motor has mechanical power output of 2.50 hp. It is 90.0% efficient in converting power that...
A:
Q: A force of 7 pounds compresses a 15-inch spring a total of 3 inches. How much work is done in compre...
A: In this question we have to calculate the work done in compressing the spring. Please give positive ...
Q: The loaded cab of an elevator has a mass of 4.70 x 10° kg and moves 233. m up the shaft in 21.0 s at...
A: Given Information:- Mass of the loaded cab of the elevator is m=4.70×103 kg Distance h=233 m Time t=...
Q: The blades in a blender rotate at a rate of 6200 rpm. When the motor is turned off during operation,...
A:
Q: Consider the three resistors R1 = 21 Ω, R2 = 63 Ω, and R3 = 85 Ω in the configuration shown in the f...
A: Given: R1 = 21 Ω, R2 = 63 Ω, and R3 = 85 Ω The supply voltage is 2.5 V.
Q: (II) A wheel of diameter 27.0 cm is constrained to rotate in the xy plane, about the z axis, which p...
A:
Q: (II) A cooling fan is turned off when it is running at 850 rev/min. It turns 1350 revolutions before...
A:
Q: Exarmple 3: What is the work done by individual force and what is the resultant work on a 4-kg block...
A:
Q: 10) The electric field inside a hollow, uniformly charged sphere is zero (E = 0). Does this imply th...
A:
Q: Consider a neutron bound to nucleus at the origin as a simple harmonic oscillator with the natural f...
A: Use formula of energy of particle in simple harmonic oscillator. For ground state : n = 0 and For f...
Q: In the figure shown below, C, = 6.00 µF, C2 = 4.00 µF, C3 = 10.0 µF and the voltage of the battery i...
A: Calculation :- The potential difference across the capacitor C and C1 is same and equal to 12 V. Thi...
Q: Activity 2: Series-Parallel Capacitor Four capacitors are connected as shown in the figure below. De...
A:
Q: In a vacuum, two particles have charges of q1 and q2, where q1 = +3.5 microC. They are separated by...
A:
Q: A proton moves perpendicular to a uniform magnetic field B at a speed of 2.00 x 107 m/s and experien...
A:
Q: Calculate the net work W, in J done on the bucket of water by the two forces F, and F,. net
A: Given data- force applied by the farmer on the bucket(Fl) = 49.5 N depth ...
Q: 6) In the effort to discover exoplanets a planet around another star was discovered that has a perio...
A: Given: The mass of the sun is 2x1030 kg. The period of the planet is 320 days.
Q: In a thunderstorm at 20.0 degrees celcius, karen sees a bolt of lightning andd hears the thunderclap...
A:
Q: An object is 27.0 cm from a concave mirror of focal length 15.0 cm. Find the image distance. (Mind y...
A:
Q: a rope applies a hortizontal force of 180 N to pull a crate a distance of 2 m across a floor. A fric...
A:
Q: Problem 5: Suppose the ski patrol lowers a rescue sled carrying an injured skiier, with a combined m...
A: Work done by the gravitational force on the slide all right so the gravitational force so it is in t...
Q: Using the idea of angular momentum, explain why an ice skater can speed up their spin when they tuck...
A:
Q: A negative charge of 5 microcoloumbs exerts an attractive force of 5 newtons on a second charge 7 cm...
A:
Q: 3. A solid conducting sphere of radius a, has a net charge Q as shown in the figure below. Using Gau...
A: Electrical field line point always away from the positive charge, hence vectors are pointing in out...
Q: 1. It is important to know the specific gravity of rock used as concrete aggregate. If a rock weigh ...
A:
Q: Problem 4: A boy is pulling his sister in a wagon, as shown in the figure. He exerts a force of F= 5...
A:
Q: If a PL = 20 % , LL = 40 % %3D %3D for a soil; what would be 0.2 -1 -0.1 1.1
A: GivenPL=20 %LL=40 %Natural water content, W=18 %
Q: A thin conducting wire is bent into the shape shown in the figure. The circular portion of the wire ...
A: Given Radius of wire ,R = 25.0 cm = 0.25 m Current in wire ,I = 3.40 A
Q: Dry air will support a maximum electric field strength of about 2.0 x 108 V/m. Above that value, the...
A: Given Data, Maximum Electric Field strength (E)= 2.0 x 108 V/m Plate separation Distance (d)=3.5 cm
Q: The figure shows a cart viewed from above being pulled by two children and experiencing a friction f...
A:
Q: 2. The half-life for the decay of the Uranlum (U)z Isotope to the Lead (Pb)z0e Isotope Is 4,5 x 10 y...
A:
Q: 5. Two blocks of masses mand 3m QIC are placed on a frictionless, hor- V izontal surface. A light sp...
A: As per our policies, we can answer only upto maximum of 3 sub-parts in one question. Please post oth...
Q: 6) In the effort to discover exoplanets a planet around another star was discovered that has a perio...
A: According to Kepler third law Square of time period is directly proportional to cube of average rad...
Q: Fint Densty of object okg which occupies speice of o.5 m? p of mas 8 4n0 g0okg
A: Given data : Mass = m Volume = v To f...
Q: Problem 5 - Projectile Motion A football is kicked at ground level with a speed of 18 m/s at an angl...
A:
Q: Two blocks of masses m1=1.0 kg and m2=3 kg are connected by an ideal spring of force constant k=4 N/...
A: The reduced mass of the system is μ=m1m2m1+m2
Q: The spring shown below is compressed 0.500 m and is used to launch a 100-kg student. The track is fr...
A:
Q: Part A What is the equivalent resistance between points a and b in the figure(Figure 1)? Rab Submit ...
A: According to guidelines we need to solve only first question kindly repost other questions in the ne...
Q: The tires of a car make 92 revolutions as the car reduces its speed uniformly from 94.0 km/h to 64.0...
A:
Q: C.A 1.2 kg grenade lies on the flat ground. Suddenly she explodes into three parts. The first piece,...
A:
Q: A. Francis suspends a 250g mass vertically from a spring that stretches 8.5cm. Determines the stretc...
A: A) First we need to find spring constant/force constant of spring. Then , using this find spring st...
Q: (II) A ball of mass M and radius r on the end of a thin massless rod is rotated in a horizontal circ...
A:
Q: 4. A student lifts a box of books that weighs 185 N. The box is lifted 0.800 m. How much work does t...
A: Given Weight of the box = 185 N Distance moved = 0.800 m We have to calculate the work done by the s...
Q: A uniform ladder of mass (m = 14.0 kg) and length (L) leans against a frictionless wall, see figure....
A:
Q: (II) Two masses, mA = 35.0 kg and mB = 38.0 kg, are connected by a rope that hangs over a pulley (as...
A:
Q: c) In Figure 2, a block is displaced to the right while under the influence of a force of magnitude ...
A:
Q: In the figure here, a ball is thrown up onto a roof, landing 4.00 s later at height h = 21.0 m above...
A: t = 4 sec h = 21 m θ = 58o
Q: 5.26 How many moles of an ideal gas are there if the volume of the gas is 158 L at 14°C and a pressu...
A: Given value--- Volume = 158 L. Temperature = 14 degree C. pressure = 89 kPa. We have to find--- N...
Q: In the figure, a 3.8 kg block slides along a track from one level to a higher level after passing th...
A:
Q: Find the resistance if the current is 3.5 amperes and the voltage is 35-V
A: Given data : Voltage = V Current = i ...
Where T = orbital period in Earth years and R = distance of the planet from the sun in A.U.’s. From this equation how would you describe the relationship between T2 and R3?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- a method for determining the sizes of the orbits of pl from the sun than Earth. His method involved noting of days between the times that a planet was in the pc A and B in the diagram. Using this time and the num each planet's year, he calculated c and d. a. For Mars, c= 55.2 and d= 103.8. How far is Mars in astronomical units (AU)? One astronomical un the average distance from Earth to the center of th 93 million miles. b. For Jupiter, c 21.9 and d= 100.8. How far is Jup %3D sun in astronomical units? lo olpno er ort to rt .onte eteem-21 o to bre e ne ern 100 o ho aotem t elbl erl pnibioda lert pribiortThe sun is 93 million miles from earth. a) Convert 93 million miles to meters and use scientific notation and round your leading coefficient in your answer to the nearest tenth. (Show step by step conversion factors). EARTH has a mass of 6 x 10^24 kg and the Sun's mass is 1.9 x 10^30 kg. b). Use Newton’s law of universal gravitation to determine the gravitational force (N) between the earth and the sun.Which variable has greater influence on the calculated mass of the planet: the semi -major axis or the orbital period? To determine this, double the value of one variable. Then reset the values and double the second variable. 1. The semi-major axis (distance of the moon to the planet) has a greater influence than the orbital period on the calculated mass of the planet. 2. The orbital period has a greater influence than the semi-major axis (distance of the moon from the planet) on the calculated mass of the planet. 3. The orbital period and the semi-major axis (distance of the moon from the planet) have the same influence on the calculated mass of the planet. 4. Neither the orbital period nor the semi-major axis (distance of the moon from the planet) have any influence on the calculated mass of the planet.
- From the data measured read off the period, P and the orbital radius, a from thegraph for the moon Ganymede . These values will have units of hours for the period P, and Jupiter Diameters (J.D.) for a. Enter your results here:P (period) = _________ hours a (orbital radius) = ________ J.D. After,In order to use Kepler's Third Law, you need to convert the period into years, using: 1 day = 24 hours and 1 year = 365.25 days. The orbital radius must be converted to A.U., using 1050 J.D. = 1 A.U. Enter your converted values here: P (period) = _________ years a (orbital radius) = ________ A.U.The moon has a period of 27.3 days and a mean distance of 3.9 x 10 ^5 km from the center of the earth. a) Use Kepler's laws to find the period of a satellite in orbit 6.7x 10^3 km from center of earth. ( Round your answer to the nearest thousandth of a day) b) Convert your answer to minutes. (Round your answer to the nearest tenth). c) Given the earth's radius is 6.4 × 10^6 m, determine how far above earth's surface is the satellite in meters, km and miles.The table below presents the semi-major axis (a) and Actual orbital period for all of the major planets in the solar system. Cube for each planet the semi-major axis in Astronomical Units. Then take the square root of this number to get the Calculated orbital period of each planet. Fill in the final row of data for each planet. Table of Data for Kepler’s Third Law: Table of Data for Kepler’s Third Law: Planet aau = Semi-Major Axis (AU) Actual Planet Calculated Planet Period (Yr) Period (Yr) __________ ______________________ ___________ ________________ Mercury 0.39 0.24 Venus 0.72 0.62 Earth 1.00 1.00 Mars 1.52 1.88 Jupiter…
- Using Kepler’s Third Law (r3 = MT2 where M is the mass of the central star) find the orbital radius in astronomical units of this planet. M = 1.5 times the mass of the sun. Remember to convert days to years using 365.25 as the length of a year in days. Key Points to know: - The semimajor axis of the planet in AU is r = 0.0379 AU - The circumference of the orbit is l = 3.562 x 10^10 m - The orbital velocity in m/s is v = 1.874 x 10^5 m/s Questions that need to be answered: - With that orbital velocity, the radius of the orbit in meters, find the centripetal acceleration of our exoplanet: - Knowing the acceleration that our planet experiences, calculate the force that the host star exerts on the planet: - Knowing the force on the planet, the orbital radius, and the mass of the parent star, use the equation for gravitational force to find the mass of our planet (m2). (To get m1 in kg multiply the mass of the star in solar masses by 1.98 x 1030).The moon has a period of 27.3 days and a mean distance of 3.9 x 10 ^5 km from the center of the earth. a) Use Kepler's laws to find the period of a satellite in orbit 6.7 x 10^3 km from center of earth. ( Round your answer to the nearest thousandth of a day) b) Convert your answer to minutes. ( Round your answer to the nearest tenth). c) Given the earth's radius is 6.4 x 10^6 m, determine how far above earth's surface is the satellite in meters, km and miles.Show your complete and detailed solution. Round off your answers to 4 decimal digits and box your final answers.
- BACKGROUND An ingenious solution to the Earth's circumference occured in 230 BC. Eratosthenes, a Greek geographer, mathematician, music theorist, poet, astronomer, and philosopher, was reading in the Library of Alexandria when he noticed an account for a deep well near Syene (now Aswan), some distance to the south (800 km) in which at high noon on the longest day of the year the bottom of the well was fully illuminated by the Sun. Eratosthenes exclaimed "Ah-ah!" (or something like that), "I can solve for the circumference of the Earth!". In his mind's eye, Eratosthenes could see that at Syene, at the moment when the bottom of the well was fully lit, the Sun must have been at the Zenith (directly overhead). Yet he knew that at the same moment in Alexandria vertical objects (like a tower, pole) cast shadows. Here is the experiment perfomed by Eratosthenes (see the picture below). • He erected a vertical pole at Alexandria (A) and measured the angle of its shadow at the moment when the…A planet's speed in orbit is given by V = (30 km/s)[(2/r)-(1/a)]0.5 where V is the planet's velocity, r is the distance in AU's from the Sun at that instant, and a is the semimajor axis of its orbit. Calculate the Earth's velocity in its orbit (assume it is circular): What is the velocity of Mars at a distance of 1.41 AU from the Sun? What is the spacecraft's velocity when it is 1 AU from the Sun (after launch from the Earth)? What additional velocity does the launch burn have to give to the spacecraft? (i.e. What is the difference between the Earth's velocity and the velocity the spacecraft needs to have?) How fast will the spacecraft be traveling when it reaches Mars? Does the spacecraft need to gain or lose velocity to go into the same orbit as Mars?I. Directions: Complete the given table by finding the ratio of the planet's time of revolution to its radius. Average Radius of Orbit Times of Planet R3 T2 T?/R3 Revolution Mercury 5.7869 x 1010 7.605 x 106 Venus 1.081 x 1011 1.941 x 107 Earth 1.496 x 1011 3.156 x 107 1. What pattern do you observe in the last column of data? Which law of Kepler's does this seem to support? II. Solve the given problems. Write your solution on the space provided before each number. 1. You wish to put a 1000-kg satellite into a circular orbit 300 km above the earth's surface. Find the following: a) Speed b) Period c) Radial Acceleration Given: Unknown: Formula: Solution: Answer: Given: Unknown: Formula: Solution: Answer: Given: Unknown: Formula: Solution: Answer: