Generally speaking, a system undergoes simple harmonic motion if there is a restoring force that increases linearly with displacement from equilibrium. In the discussion, describe how a pendulum and a mass on a horizontal spring satisfy those conditions (ignore any friction forces); also, include another example of a real world system that undergoes simple harmonic motion and discuss how it satisfies the conditions mentioned above. Finally, be sure to respond to at least two of your peers’ discussion posts.

Jupiter has a mass of 1.9*1027 kg and a radius of 69,900 km. G = 6.67*10-11 Nm2 /kg2 a. Find the acceleration due to gravity at its surface b. Find the speed of a satellite orbiting at a height of 10,000 km above its surface c) Find the cetripetal acceleration of the satellite

A distant galaxy is simultaneously rotating and receding from the earth. As the drawing shows, the galactic center is receding from the earth at a relative speed of uG = 2.00 × 106 m/s. Relative to the center, the tangential speed is vT = 0.380 × 106 m/s for locations A and B, which are equidistant from the center. When the frequencies of the light coming from regions A and B are measured on earth, they are not the same and each is different from the emitted frequency of 5.077 × 1014 Hz. Find the measured frequency for the light from (a) region A and (b) region B. (Give your answer to 4 significant digits. Use 2.998 × 108 m/s as the speed of light.)

How much 1.0 mm diameter copper wire would it take to equal the resistance of one 100 Ω resistor? The resistivity of copper is 1.68*10-8 Ωm

b) What would be the current if this wire was connected to a 12.0 V battery?

c) How many electrons per second pass by a point on the wire?

d) If this wire was coiled up and submerged in 100 mL of water at 20oC, how long would it take for the water to boil? CH2O = 4186 J/kgC

A solid conducting sphere of radius 2.4 cm has a charge of 23 nC distributed uniformly over its surface. Let A be a point 1.8 cm from the center of the sphere, S be a point on the surface of the sphere, and B be a point 5.4 cm from the center of the sphere. What are the electric potential differences (a)VS – VB and (b)VA – VB?

A 4600 kg lunar lander is in orbit 40 km above the surface of the moon. It needs to move out to a 280 km high orbit in order to link up with the mother ship that will take the astronauts home. How much work must the thrusters do?

The motion of Halley’s comet and its motion. Halley’s comet travels in an elliptical orbit of eccentricity ϵ = 0.97 around the Sun. At perihelion (closest approach), Halley’s comet is observed to be approximately 0.59 AU from the Sun. At aphelion the distance is about 35.08 AU, the semi-major axis of the elliptical orbit is 17.83 AU, and the orbital period is about 75.3 Earth years.

1) Since Earth has an essentially circular orbit that is 1 AU from the Sun. Use any approach that you like to determine the Earth’s orbital speed is v_E = sqrt(GM_S/R_E) and then determine a numerical value in kilometers/second.

2) Use the perihelion, aphelion, semi-major axis, and period above for Halley’s comet to determine the value of the characteristic length, r_c, that describes the elliptical orbital path, r(φ), for Halley’s comet.

3) Use the definition of r_c to estimate the speed of Halley’s comet at perihelion. Write the result in symbolic first, which should look like the result in part 1, then write it as the result from part (a) and appropriate ratios to estimate the numerical value of Halley’s comet’s speed at perihelion.

Question 1: (a) Explain about two characteristic lengths in the theoretical and experimental investigations of superconductivity (Drawing is necessary), One of the distinguishing aspect of Type I and Type II is the relative value of two characteristic lengths: (b) what is name of this theory? (c) According to this theory, what is the criterion value to determine Type I or Type II?

Discuss the dark energy. Give reasons for your answer and list the pros and cons of your choice.

For an internal spring force collision, what do you think would be the effext of system momentum if you hit the trigger at a slight angle instead of straight down? Explain why striking angle makes a difference (in terms of internal and external forces)

In this simulation, you can examine the magnetic field created by the current in a solenoid, which is a cylindrical coil of wire. Instead of using a spiral-shaped coil, the simulation approximates the coil with a stack of seven single loops. The plane of each loop is parallel to the x-z plane, with a radius of either 60 cm or 25 cm, and the displayed field is in the x-y plane.

The parallel-plate capacitor is the standard way to create a uniform electric field, while a current-carrying solenoid is a great way to create a uniform magnetic field, although the electric field is only perfectly uniform in the ideal case when the plates are infinitely large and the magnetic field is only perfectly uniform in the ideal case when the solenoid is made from closely packed loops that extend to infinity in the direction parallel to the axis of the solenoid.

(a) Which of the following statements correctly compare the ideal parallel-plate capacitor to the ideal solenoid? Select all that apply.

A stellar object that is at a great distance emits a stream of matter at velocity v towards an observer obliquely, forming an angle θ with the observation line. For the observer the jet appears to have been emitted laterally at speed V.
Show that for certain angles the speed measured by the observer may exceed the speed of light.

V = sin θ (1 / v - cos θ) ⁻¹