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Suppose we discover a new stealth planet that orbits the Sun in the same plane and the same direction as the known planets. The planet has a circular orbit, orbits twice as far from the Sun as Earth. The equator of this planet is perfectly aligned with its orbital plane. Answer the following questions about the new planets. Show your work for full credit.
How long is a year on the new planet?
Does the new planet have seasons?
How quickly does it orbit (km/s)
In 1 billion years, predict how the following quantities would be different from their current values. Answers should be qualitative (e.g. shorter, longer, no change) but you must explain your reasoning for full credit. [15 points]
Earth-moon separation
Length of the day
Length of the month
The height of ocean tides.
Frequency of eclipses
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****Please make it sure that it explains with logic and/or writing. It is an essay but it has to be one based on scientific facts. Please be specific preferably with equations and/or calculations (such as short derivations) if necessary to make the argument. The suggested length is between 400-500 words.
A) What are the Maxwell's Equations and their significance in physics?
B) What is the Displacement Current and its meaning?
Thank you for your help!
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A flywheel comprises a uniform circular disk with a mass of 97.0 kg and a radius of 1.1 m. It rotates with an angular velocity of 1420 rev/min. A constant tangential force is applied at a radial distance of 0.5 m. What is the initial kinetic energy of the wheel?
(b) If the wheel is brought to rest in 133.0 s, what is the tangential force?
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Find the motion of an object subject to a linear restoring force and a linear retarding force when it starts from equilibrium at initial velocity v0. Consider underdamped, critically damped, and overdamped cases.
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Show all work done for calculations, starting with an equation whenever possible, and include all units. If asked to explain, give a brief response (1-2 complete sentences).
For full credit on FBDs and N2L expressions, follow the guidelines in the topic summary on FBDs.
Invent unique, concrete situations for each of the four cases below.
• Describe each situation clearly and concretely in 1-2 sentences.
• Make a complete free-body diagram showing the forces acting on the object you've chosen.
• Write out a complete N2L expression for each axis
◦ none of the final N2L expressions should contain “Fnet x” or “Fnet y”, and should include an “ma” term only if the object is accelerating parallel to a given axis.
For your invented situations, the key words are unique and concrete: don't copy from examples or assigned problems; name a specific object (car, refrigerator, basketball, …) for each case and use that name to describe what's happening to it (or what it's doing), rather than abstract words like "object" or "body". Also name forces specifically (e.g., “static friction” and “FS” rather than “friction” and “FF”).
a) Three forces act on an object, each one of a different type.
b) Four forces act on an object, each one of a different type.
c) Four forces act on an object; two are of the same type, but exerted by different objects.
d) Five forces act on an object; no more than two can be of the same type.
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A sphere of radius R is charged with a charge Q.
1. What is the potential outside of the sphere at distance r from
the center of the sphere？
2. what is the electric potential at the center of the sphere
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Ernest Rutherford (the first New Zealander to be awarded the Nobel Prize in Chemistry) demonstrated that nuclei were very small and dense by scattering helium-4 nuclei (4He) from gold-197 nuclei (197Au). The energy of the incoming helium nucleus was 7.78 ✕ 10−13 J, and the masses of the helium and gold nuclei were 6.68 ✕ 10−27 kg and 3.29 ✕ 10−25 kg, respectively (note that their mass ratio is 4 to 197). (Assume that the helium nucleus travels in the +x direction before the collision.)
(a)
If a helium nucleus scatters to an angle of 130° during an elastic collision with a gold nucleus, calculate the helium nucleus' final speed (in m/s) and the final velocity (magnitude in m/s and direction counterclockwise from the +x-axis) of the gold nucleus.
4He speed _________ m/s
197Au velocity_________ m/s
197Au direction__________ ° counterclockwise from the +x-axis
(b)
What is the final kinetic energy (in J) of the helium nucleus?
_________ J
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A bubble of air is suspended underwater. Draw a ray diagram showing the approximate path followed by a light ray passing from the water (a) through the upper half of the bubble, (b) through its center, and (c) through its lower half. Does the bubble act like a converging or diverging lens? Explain.
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A 3.00-kgkg object is free to slide on a horizontal surface. The object is attached to a spring of spring constant 300 N/mN/m , and the other end of the spring is attached to a wall. The object is pulled in the direction away from the wall until the spring is stretched 70.0 mmmm from its relaxed position. The object is not released from rest, but is instead given an initial velocity of 2.50 m/sm/s away from the wall. Ignore friction.
a) Determine the energy of the oscillating system.
b) Select the correct equation for the object's position xx as a function of time. Suppose that x=0x=0 is the equilibrium position and the direction away from the wall is the positive direction of xx.
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What determines the electron-group geometry of a molecule? What determines the molecular geometry of a molecule? Why can-electron group geometry differ from molecular geometry? sidenote:please answer every part of the question
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Trees and other plants move water and minerals from their roots
upward into the tree through a process involving:
A. Cohesion only.
B. Adhesion only.
C. Surface tension only.
D. A combination of cohesion, adhesion, and surface tension called
capillary action.
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At a construction site, a helicopter is lifting two steel beams, each with a mass of 290 kg. One steel beam is attached directly to the helicopter by a cable. The second steel beam is not attached to the helicopter directly, but it is instead hanging directly below the first steal beam and attached to the first beam by another cable. Assume the cables have no mass.
(a) If the steel beams are at rest, what is the tension in each cord?
(lower cable) _______ N
(upper cable) _______ N
(b) If the steel beams are pulled upward with an acceleration of 1.70 m/s2 calculate the tension is each cable.
(lower cable) ______ N
(upper cable) _______ N
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Acircular ring of radius ?lies in the ??plane and is centered on the origin. The half on the positive ?side is uniformly charged with a charge +?while the half on the negative ?side is uniformly charged with a total charge −?.
a..Draw a diagram of the charge distribution and without doing any math, determinethe direction of the total electric field at the origin
. b.Calculate the ?component of the electric field at the origin by integrating the charged ring.
i.Draw a diagram of the integration setup. Include your integration variable, the differential element, and the corresponding differential electric field. Label the relevant parameters.
ii.Write an expression for ??in terms of your integration variable.
iii.Write an expression for ??yin terms of your integration variable.
iv.Integrate ??yto find ?yand express in vector form
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