A chimney (length 10.8 m, mass 588 kg] cracks at the base and topples.  Assume:

- the chimney behaves like a thin rod, and does not break apart as it falls.

- only gravity (no friction) acts on the chimney as it falls.

- the bottom of the chimney pivots, but does not move.

Find the linear speed of the center of mass of the chimney, in m/s, just as it hits the ground

A chimney (length 13 m, mass 479 kg] cracks at the base and topples.  Assume:

- the chimney behaves like a thin rod, and does not break apart as it falls.

- only gravity (no friction) acts on the chimney as it falls.

- the bottom of the chimney pivots, but does not move.

Find the linear speed of the very top of the chimney, in m/s, just as it hits the ground.  

A 13.7 kg cart travels at constant speed, and its four wheels are rolling without slipping. The wheels are disks (radius 0.134 m, mass 6.05 kg), and they turn at constant ω = 26.4 rad/s. Find the total kinetic energy of the cart.

a 440 kg bear gradping vertical trees slides down at constant velocity. what is the friction force that acts on the bear

Suppose you have three polarizing filters, with the second at an angle of 41° to the first and the third at an angle of 90° to the first.

θ₁ = 41°

By what percent will the original intensity of unpolarized light be reduced to after passing through all three filters?

One solenoid is centered inside another. The outer one has a length of 45.0 cmcm and contains 6750 coils, while the coaxial inner solenoid is 5.00 cmcm long and 0.150 cmcm in diameter and contains 17.0 coils. The current in the outer solenoid is changing at 35.5 A/sA/s .

A) What is the mutual inductance of these solenoids?

Express your answer in microhenrys.

B) Find the emf induced in the inner solenoid.

Express your answer in volts.

Write an equation for the magnetic field of an electromagnetic wave traveling in vacuum if the amplitude is 0.0028 T and the frequency is 2.0 × 10⁸ Hz. Find the magnetic field when x = 32 cm and t = 6.8 ns.

a) A photon is observed coming from an isolated hydrogen atom with 1.89eV energy. What transition has just been observed?

Select one:a. n=4 to n=2b. n=5 to n=3c. n=3 to n=2d. n=5 to n=4

b) The number of electrons per second ejected from a metal in the photoelectric effect is proportional to

Select one:a. the frequency of the incident light b. the threshold frequency of the material c. the wavelength of the incident light d. the intensity of the incident light

A circular area with a radius of 6.60 cmcm lies in the xx-yy plane.

A) What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field BB = 0.211 TT that points in the +z+z direction?

Express your answer in webers.

B) What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field BB = 0.211 TT that points at an angle of 52.7 ∘∘ from the +z+z direction?

Express your answer in webers.

C) What is the magnitude of the magnetic flux through this circle due to a uniform magnetic field BB = 0.211 TT that points in the +y+y direction?

Express your answer in webers.

A homemade capacitor is assembled by placing two 10 in pie pans 8 cm apart and connecting them to the opposite terminals of a 9 V battery.

(a) Estimate the capacitance.
  pF
(b) Estimate the charge on each plate.
pC
(c) Estimate the electric field halfway between the plates.
V/m
(d) Estimate the work done by the battery to charge the plates.
J
(e) Which of the above values change if a dielectric is inserted? (Select all that apply.)

electric fieldchargework done by the batterycapacitance

Two blocks are connected by a light string that passes over a frictionless pulley as in the figure below. The system is released from rest while m2 is on the floor and m1 is a distance h above the floor.

(a) Assuming m1 > m2, find an expression for the speed of m1 just as it reaches the floor. (Use any variable or symbol stated above along with the following as necessary: g.) vf = Incorrect: Your answer is incorrect. (b) Taking m1 = 6.6 kg, m2 = 3.7 kg, and h = 3.9 m, evaluate your answer to part (a). Correct: Your answer is correct. m/s (c) Find the speed of each block when m1 has fallen a distance of 2.0 m. 4.93 Incorrect: Your answer is incorrect.

1. System Schemas: PLEASE BE DETAILED WITH EXPLANATIONS!

a. Suppose you are sitting in a car that is speeding up. Draw a system schema for this situation. Then draw well-separated force diagrams (free-body diagrams) of the following objects:

- your own body;

- the seat in which you are sitting (apart from the car);

- the car (apart from the seat);

- the road surface where the tires and the road interact.

b) Assume the car has rear wheel drive. Describe each force in words; show larger forces with longer arrows. Identify the Newton's third law pairs. (How are they visible in the system schema?)

c) Explain how the force imparting acceleration to the car originates.

You just purchased a new home and decided to build your hot tub behind it. After several hours of careful work in the field, you figure out that they will need to excavate exactly 5.0m3 of soil. You go out and sub-sample representative spots in the soil as it is excavated and find that it weighed 120g right after you pulled it out of the hole, and then weighed 92g after you dried it out in the oven. Your contractor excavates the site and informs you that exactly 9Mg of soil (as is/wet) were hauled away from your site. Based on this information, answer the following questions: (Show all work/units for full credit!)

A. What was the gravimetric water content of the soil sub-sample (rounded to nearest whole %)?

B. What was the bulk density of the soil (rounded to 2 decimal places)? (hint: use the sub-sample moisture content to calculate the dry weight of the larger mass of soil that came out of the 5.0m3 hole by cross multiplying WETsub/WETbulk X DRYsub /DRY/bulk)

C. What was the % solid space of this soil(rounded to nearest whole %)?

D. What was the % pore space of this soil?

E. What was the volumetric water % of this soil (rounded to nearest whole %)?

F. If this soil were completely saturated with water, how many Mg of wet soil would the contractor have to haul away?

G. If you could compact the soil that was hauled away to its maximum dry density (2.20 Mg/m3) how many m3 of disposal area would be required for it(rounded to 2 decimal places)?

H. What was the % air filled pore space in the intact soil as it was excavated? (hint: subtract volumetric water from total pore space for this).

Determine the reflection coefficient of the pulse amplitude under the following boundary conditions on the right end:

(1) Fixed end

(2) Loose end

A 100kg mass traveling with a velocity of 15m/s on a horizontal surface strikes a spring with a spring constant k = 5 N/m a. Find the compression of the spring required to stop the mass if the surface is frictionless b. Find the compression of the spring if the surface is rough (0.4ku=0)