An object's position is given by the vector:
s(t)=2cos(wt)i^+2sin(wt)j^

Where w=1 radian per second.
How would you describe this object's motion?

A fully charged parallel-plate capacitor remains connected to a battery while a dielectric is slid between the plates. Do the following quantities increase, decrease, or stay the same?

(a) C
---Select--- increases decreases stays the same

(b) Q
---Select--- increases decreases stays the same

(c) E between the plates
---Select--- increases decreases stays the same

(d) ?V
---Select--- increases decreases stays the same

(e) energy stored in the capacitor
---Select--- increases decreases stays the same

a) A deep sea diving apparatus (bathyscaphe) can submerge to a depth of approximately     11,000 m. What pressure must its hull withstand at this depth

b)   If the bathyscaphe has circular window of radius 50 cm and it is pressurized to 1 atm pressure, what force must the window withstand at this depth?

c) A climbing expedition sets out to climb Mt.Everest in the Himalayan mountain range. The base camp is at 17,500ft. What is the atmospheric pressure at this altitude?

(You can assume that both g and the air density remain constant between sea level and base camp).

d) In practice both g and air density change over this range in height. If these effect are taken into account, will the answer to part c) be higher or lower?

Three point charges are positioned on the x -axis: +99.0 ? C at x = 0.00 cm, +89.0 ? C at x = 65.0 cm, and -26.0 ? C at x= 15.0 cm. What is the magnitude of the electrostatic force acting on the +99.0

A 1.0 kg block of ice is initially at a temperature of ?5

The proper average (or mean) lifetime of a muon (a subnuclear particle) is t = 2.2

Suppose a rocket-propelled motorcycle is fired from rest horizontally across a canyon 1.30 km wide.

(a) What minimum constant acceleration in the x-direction must be provided by the engines so the cycle crosses safely if the opposite side is 0.660 km lower than the starting point?
m/s²

(b) At what speed does the motorcycle land if it maintains this constant horizontal component of acceleration? Neglect air drag, but remember that gravity is still acting in the negative y-direction.
m/s

From t = 0 to t = 3.51 min, a man stands still, and from t = 3.51 min to t = 7.02 min, he walks briskly in a straight line at a constant speed of 1.64 m/s. What are (a) his average velocity v_avg and (b) his average acceleration a_avg in the time interval 1.00 min to 4.51 min? What are (c) v_avg and (d) a_avg in the time interval 2.00 min to 5.51 min?

1. A 2.0 kg object is attached to a horizontal spring of force constant k = 4.3 kN/m. The spring is stretched 10 cm from equilibrium and released. Find its total energy.

..... J

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2. Find the total energy of a 2.0 kg object oscillating on a horizontal spring with an amplitude of 10 cm and a frequency of 2.9 Hz.
..... J

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3. Find the length of a simple pendulum if its frequency for small amplitudes is 1.00 Hz.
........ cm

The mercury manometer shown in the figure(Figure 1) is attached to a gas cell. The mercury height h is 120 mm when the cell is placed in an ice-water mixture. The mercury height drops to 30 mm when the device is carried into an industrial freezer.
Hint: The right tube of the manometer is much narrower than the left tube. What reasonable assumption can you make about the gas volume

What is the freezer temperature

A long pipe of outer radius 3.50 cm and inner radius 2.98 cm carries a uniform charge density of 5.22 mC/m3. Using Gauss\'s law and assuming the pipe is sufficiently long to consider it infinitely long, calculate the electric field r = 7.35 cm from the centerline of the pipe.

What is Fermi surface and why is this concept so useful in metals research?

Particularly, I can somewhat appreciate the Fermi energy idea - the radius of Fermi surface which is a sphere. But is there any quantitative use of more complicated Fermi surfaces?

Let suppose you roll a die, and it falls into a hidden place, for example under furniture.
Then although the experiment has already been made (the die already has a number to show), that value can not be known, so the experiment was not fully realized.
Then till you see the die's top side, the probability remain p = 1/6.
I see no difference between this and the wave function collapse, at least as an analogy.
Can someone explain a deeper difference?

Why do we get information about position and momentum when we go to different representations. Why is momentum, which was related to time derivative of position in classical physics, now in QM just a different representation brought about by some unitary transformation. Is Ehrenfest's theorem the only link?

I just started studying QM. So please suggest some references explaining the structural aspects and different connections.I don't want to start with noncommutative geometry. I would like something of an introductory nature and motivating.

The figure shows the equipotential contours in the plane of two point charges. The labels on the contours are in V. Determine for each of the following statement whether it is true or false

imgur.com/WLZRngB

The two charges are in the ratio 2:3.

There is a point along the line y=0 and between x= -10 and +10 where the potential is zero.

The electrostatic potential energy of a negative charge increases as it is brought from a to b.

There is a point along the line y=0 and between x =-10 and +10 where the field is zero.

Work is done on the field in moving a charge from c to d.

The above charge configuration can be described as an electric dipole.