Determine what the period of revolution of the Earth would be if its distance from the sun would be 4 AU rather than 1 AU. Assume that the mass of the Sun remains the same. State the law that you use to figure this out, and show your calculation
Q: A circular coil of 192 turns has a radius of 2.58 cm. (a) Calculate the current that results in a…
A: Given:- Radius of coil (r) = 2.58 cm = 2.58×10-2 m Number of turns (N) = 192…
Q: Light in a vacuum is incident on a transparent glass slab. The angle of incidence is 35.2°. The slab…
A:
Q: A gardener is using a garden fork to pull a weed out of the ground. The fork is 1.2 m long and its…
A:
Q: Current Attempt in Progress The drawing shows two long, straight wires that are suspended from a…
A:
Q: A converging lens (f = 12.3 cm) is located 44.9 cm to the left of a diverging lens (f = -7.16 cm). A…
A:
Q: How long will the spring now be?
A: PART A: We know from Hooke's law, F=k.x here, k=spring constant; x=length of the stretched string…
Q: 3. Calculate the longitudinal and circumferential stresses of a steam boiler drum 2.15 m in diameter…
A:
Q: In an electron microscope, there is an electron gun that contains two charged metallic plates 2.40…
A: (a) 3.466 x 10-16 J. (b) 1.444 x 10-14 N. (c) 1.587 x 1016 m / s2. (d) 1.739 x 10-9 s.
Q: Three charged particles are located at the corners of a right-triangle as shown in the figure below…
A:
Q: What is the direction of the magnetic field at the point P due to the current carrying loop shown in…
A: According to right hand rule' Curl fingure shows the direction of the current Thumb shows the…
Q: In a new lab experiment, two parallel vertical metal rods are separated by L= 0.60 m. A R = 2.0Ω…
A: Given: Length L=0.60m Resistor R=2Ω Mass m=0.20kg Magnetic field B=0.50×10-4T
Q: d the magnitude of the difference between the total downward force at the top of the cube, and the…
A: Find the magnitude of the difference between the total downward force at the top of the cube and…
Q: A 56.6-kg skateboarder starts out with a speed of 2.28 m/s. He does 96.5 J of work on himself by…
A: Given Data: Mass of skateboarder: m = 56.6 kg Initial speed of skateboarder: u = 2.28 m/s Work done…
Q: In Figure (1), a 3.50 g bullet is fired horizontally at two blocks at rest on a frictionless table.…
A:
Q: How much work is required to lift a 500-kg satellite to an altitude of 3⋅10^6 m above the surface of…
A: Given: The mass of the satellite, m = 500 kg The mass of the Earth, M = 6×1024 kg The radius of the…
Q: The figure below shows a very thin, very long, straight rod with a uniform charge per unit length of…
A: Given data, A uniform charge per unit length is λ The perpendicular distance between the wire and…
Q: A point rotates about the origin in the xy plane at a constant radius of 0.259 m with an angular…
A: The motion of the point in the xy plane can be described by the polar coordinates (r, θ), where r is…
Q: (a) Explain what a principal axis system for a rigid body is. (b) Write down the definition of the…
A: (a) A principal axis system for a rigid body is a coordinate system in which the moment of inertia…
Q: Speaker 1 8.9 m Speaker 2 2.7 m 4.5 m 5.95 m B A i Loud 10.8 m C
A:
Q: The rechargeable batteries for a laptop computer need a much smaller voltage than what a wall socket…
A: Given that primary and secondary voltages and secondary current in the transformers Vs = 9 V Is =…
Q: A block of mass m = 4.58kg moves along the x-axis subject to a net force which depends on position.…
A:
Q: A microwave source produces pulses of 13.0 GHz radiation, with each pulse lasting 1.00 ns. A…
A:
Q: One car has twice the mass of a second car, but only half as much kinetic energy. When both cars…
A:
Q: A lift sheave has a radius of 0.75 m. At what angular velocity must it be rotated if it is to raise…
A: Solving 1st one as per guidelnes; Given data: The radius is r = 0.75 m The velocity is v = 1.8 m/s…
Q: In the circuit to the right, E = 1.2kV, C = 6.5 μF, and R₁ = R₂ = R3 = R = 0.73 M. With C completely…
A:
Q: If 1.0 joule of work is required to move 1.0 coulomb of charge between two points in an electric…
A: The required work done is 1.0 J. The magnitude of the charge is 1.0 C. The work done to move a…
Q: 29. *The motion of a cart attached to a horizontal spring is described as x = (0.17 m) sin(πs ¹)t.…
A: Given equation: x=(0.17m)sin(πs-1)t Here x is the displacement of the cart, t is the time elapsed…
Q: An 80 g arrow is fired from a bow whose string exerts an average force of 120 N on the arrow over a…
A: Given data: The mass of the arrow is m = 0.080 kg The average force is F = 120 N The displacement…
Q: A muon is created at an accelerator experiment. It moves with a spe0.95c. The muon mass is1.90×10−28…
A: We know that, relativistic momentum, P=Ymv Y= relativistic factor…
Q: A wave has a period of 10 seconds, determine a. its wavelength and celerity in 200 m deep water b.…
A:
Q: The engine in an imaginary sports car can provide constant power to the wheels over a range of…
A:
Q: 2. Bill is creating a 45° offset around a tank. The value of A is 24 inches. 24 in. The center of…
A:
Q: A light spring with force constant k = 7.80 N/m is suspended vertically from a hook at its upper…
A:
Q: An architecture student working at a drafting table requires some muscle action in order to support…
A:
Q: The lower part of A₁ is resting on the ground, while A₂ is elevated at y = 0.18d₁ where d₁ is the…
A: Solution: This question involves the application of Bernoulli's principle, which states that for an…
Q: A block of weight w sits on a plane inclined at an angle as shown. (Figure 1) The coefficient of…
A: The weight of the block is w. The angle of iinclination is θ. The coefficient of kinetic friction is…
Q: In the figure, block 1 of mass m₁ slides from rest along a frictionless ramp from height h= 2 m and…
A:
Q: What magnitude of force must you apply to hold the platform in this position? Express your answer…
A:
Q: An experimental apparatus has two parallel horizontal metal rails separated by 1.0 m. A 5.0-Ω…
A: Given:- Length of metal axle (L) = 1 m Speed of metal axle (v) = 35 m/s…
Q: b a Distance d Small rectangular conducting loop We want to figure out when a current is started or…
A:
Q: A grasshopper leaps into the air from the edge of a vertical cliff. Use the information from the…
A: Initial velocity of the grasshopper can be written as, u→=ucosθi^+usinθj^ where u is it's initial…
Q: A copper wire of radius a = 0.240 mm has an aluminum jacket of outer radius b = 0.329 mm. There is a…
A:
Q: A spring has a spring stiffness constant k of 90.0 N/m. - How much must this spring be compressed…
A:
Q: An automobile tire is inflated with air originally at 10.0°C and normal atmospheric pressure. During…
A:
Q: Can someone do d
A: Consider the electric potential at point b as zero (i.e. point b is connected to the ground). d)…
Q: 5. A 500-turn circular coil with an area of 0.050 m^2 is mounted on a rotating frame that turns at…
A:
Q: 0.005 if the tsunami height was 10 cm at the continental shelf, what is its height at the shoreline?…
A: Time to reach the tsunami at the shore= T= 30 minutes Height of shoreline = S=44099.99 m
Q: The maximum value of the emf in the primary coil (Np = 1500) of a transformer is 125 V. (a) What is…
A: Np = 1500 Ns = 600 Vp = 125 V
Q: A sphere of copper has a radius of 6.00 cm and is compressed uniformly by a force of 7.00 x 108 N.…
A:
Q: Suppose you wish to fabricate a uniform wire from a mass m of a metal with density Pm and…
A: The Resistance is given by R=ρlA where ρ is the resistivity of the material…
Determine what the period of revolution of the Earth would be if its distance from the sun would be 4 AU rather than 1 AU. Assume that the mass of the Sun remains the same. State the law that you use to figure this out, and show your calculation.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
- 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?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).Determine what the period of revolution of the Earth would be if its distance from the Sun were 3.5 AU rather than 1 AU. Assume that the mass of the Sun remains the same. The final unit should be y in the answer.
- a) What is the semimajor axis of the spacecraft’s elliptical orbit around the Sun (in AU)? Hint: The semimajor axis of Earth’s orbit is 1 AU and the semimajor axis of Mars’ orbitis 1.52 AU. Consider the diagram above and assume for simplicity that the orbits of Earth and Mars are circular. b) What would be the period of the spacecraft’s orbit around the Sun (in Earth years)? c) Assuming that the spacecraft’s launch is timed properly to arrive at Mars, what is the time required (in days) for the spacecraft to reach Mars from Earth?Pluto’s orbit around the Sun is highly elliptical compared to the planets in our Solar System. It has a perihelion distance of 29.7 AU and an aphelion distance of 49.5 AU. a) What is the semi-major axis of Pluto’s orbit, in AU? b) What is Pluto’s orbital period, in Earth years?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…
- Measure the periods for each planet. Measure the orbital radius of each planet. Calculate the ratios of square of the periods and cubed of the radii for the planets. Compare the results and comment if your result confirms Kepler's Third Law. (Pic1 has the yellow and bluw planets points plotted. Pic2 has the grey and red planet plots listed.)Saturn has an angular size of 16”, and an observed Synodic Period of 1.035yrs. Saturn’s moon, Titan orbits the planet with an angular separation of 192”, with a period of 15.9days. From these observations we can determine Saturn’s mass. Use the Sidereal Period of Saturn above to find the distance to Saturn from the Sun.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.
- Write down an expression for the gravitational filed strength of a planet of radius R and density ρ. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate without the quotes). For Greek letters such as ?ρ and ?π use rho and pi. Please use the "Display response" button to check you entered the answer you expectKepler's 1st law says that our Solar System's planets orbit in ellipses around the Sun where the closest distance to the Sun is called perihelion. Suppose I tell you that there is a planet with a perihelion distance of 2 AU and a semi-major axis of 1.5 AU. Does this make physical sense? Explain why or why not.Calculate the period T of a planet whose orbit has a semimajor axis of 2.4 AU. y
