A block of mass m₁ =2.00 kg and a block of massm₂ = 6.00 kg areconnected by a massless string over a pulley in the shape of asolid disk having radius R = 0.250 m and mass M =10.0 kg. These blocks are allowed to move on a fixed block-wedge ofangle ? = 30.0

A 0.158 kg toy is undergoing SHM on the end of a horizontal spring with force constant 310 N/m . When the object is 1.50×10⁻² m from its equilibrium position, it is observed to have a speed of 0.320 m/s .

A: Find the total energy of the object at any point in its motion.

B: Find the amplitude of the motion.

C: Find the maximum speed attained by the object during its motion.

A solid cylinder (radius = 0.190 m, height = 0.190 m) has a mass of 21.4 kg. This cylinder is floating in water. Then oil (ρ = 867 kg/m3) is poured on top of the water until the situation shown in the drawing results. How much of the height of the cylinder is in the oil?

many real charge distributions can be approximated by the simple distributions considered in this chapter. Sketch and estimate the dependence of electric field for these charge distributions a)dipole b)point charge c)line charge and plane charge

A block with mass m =6.5 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.22 m. While at this equilibrium position, the mass is then given an initial push downward at v = 4.1 m/s. The block oscillates on the spring without friction. 1) What is the spring constant of the spring? N/m 2) What is the oscillation frequency? Hz 3) After t = 0.39 s what is the speed of the block? m/s 4) What is the magnitude of the maximum acceleration of the block? m/s2 5) At t = 0.39 s what is the magnitude of the net force on the block? N 6) Where is the potential energy of the system the greatest? At the highest point of the oscillation. At the new equilibrium position of the oscillation. At the lowest point of the oscillation.

detailed solutions/equations for both***

Part 1

Five electrons are in a two-dimensional square potential energy well with sides of length L.The potential energy is infinite at the sides and zero inside. The single particle energies are given by (h2/8mL2)(n2x +n2y), where nx and ny are integers. In units of (h2/8mL2) the energy of the ground state of the system

Part2

Electrons are in a two-dimensional square potential energy well with sides of length L. The potential energy is infinite at the sides and zero inside. The single-particle energies are given by (h2/8mL2)(n2x + n2y), where nx and ny are integers. At most the number of electrons that can have energy 8(h2/8mL2) is:

A mass m = 17 kg is pulled along a horizontal floor, with a coefficient of kinetic friction ?k = 0.06, for a distance d = 6.7 m. Then the mass is continued to be pulled up a frictionless incline that makes an angle ? = 33° with the horizontal. The entire time the massless rope used to pull the block is pulled parallel to the incline at an angle of ? = 33° (thus on the incline it is parallel to the surface) and has a tension T = 46 N.

What is the work done by tension before the block gets to the incline?

What is the work done by friction as the block slides on the flat horizontal surface?

What is the speed of the block right before it begins to travel up the incline?

How far up the incline does the block travel before coming to rest?

What is the work done by gravity as it comes to rest?

During the entire process, the net work done on the block is:

Water movinng in a horizontal pipe has a velocity of 9.0 m/s when the radius of the pipe is 0.0025 metr. determine the velocity of the water when it enters a wider section of the pipe and the radius is 0.075 meter.

Please show work

Determine the density of a unkown smaple by using Archemdes Principle and water. the mass measurement of the sample in air is 200 grams, the mass measurement of the sample in water 147 grams.

please show work

Consider a mass spring system. The spring has a constant k=30N/m and mass=3kg. The mass oscillates w/amplitude of 10cm. a.)what is the frequency of oscillation b.) what is the displacement at time t=0 c.) when is the first time the mass is at maximum displacement? (t=?) d.) what is the maximum acceleration felt by the mass? Where in the motion does this occur? e.)what is the minimum acceleration felt by the mass? Where in the motion does this occur? f.)What is the max potential energy stored in the spring (PE=1/2kx^2)? g.) since energy is conserved, what is the max velocity of the mass (KE=1/2mv^2)?

A 4.00 −kg ball is dropped from a height of 14.0 m above one end of a uniform bar that pivots at its center. The bar has mass 5.50 kg and is 7.40 m in length. At the other end of the bar sits another 5.30 −kg ball, unattached to the bar. The dropped ball sticks to the bar after the collision.

How high will the other ball go after the collision?

How do you do this? How do you set it up?

One mole of a ideal gas initially at temp To=0C undergoes an expansion at a constant pressure of 1atm to four times it original volume. (a) calculate the new temp Tf of the gas. (b) calulate the wok done by the gas during the expansion.

A wood cube 0.40 m on each side has a density of 750 kg/m³ What mass has to be placed on top of the wood so that its top is just at the water level?

What is the energy of a typical visible photon? How many photons enter the eye pre second when one looks at a weak source of light such as the moon who's intensity is about 4.0e-4 w/m 2? Assume a typical visible wavelength be 550nm and diameter of the eye pupil is 8.0 mm