Questions
(a) A block of mass m = 3.90 kg is suspended as shown in the diagram...

(a) A block of mass m = 3.90 kg is suspended as shown in the diagram below. Assume the pulley to be frictionless and the mass of the strings to be negligible. If the system is in equilibrium, what will be the reading of the spring scale in newtons? N

(b) Two blocks each of mass m = 3.90 kg are connected as shown in the diagram below. Assume the pulley to be frictionless and the mass of the strings to be negligible. If the system is in equilibrium, what will be the reading of the spring scale in newtons? N

(c) A block of mass m = 3.90 kg is in equilibrium on an incline plane of angle θ = 28.0° when connected as shown in the diagram below. Assume the mass of the strings to be negligible. If the system is in equilibrium, what will be the reading of the spring scale in newtons? N

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The figure is a section of a conducting rod of radius R1 = 1.45 mm and...

The figure is a section of a conducting rod of radius R1 = 1.45 mm and length L = 12.60 m inside a thin-walled coaxial conducting cylindrical shell of radius R2 = 10.7R1 and the (same) length L. The net charge on the rod is Q1 = +3.56

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We observe a glancing collision between two billiard balls of the same mass. The first ball...

We observe a glancing collision between two billiard balls of the same mass. The first ball is incident at a speed of 6.36 m/s, strikes the second ball (initially at rest) and moves off with a speed of 5.54 m/s at an angle of 29.5

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(a)i. Name five common feautures of catalysis ii. Describe adsorption, desorption, physisorption and chemisorption. (b) Draw...

(a)i. Name five common feautures of catalysis ii. Describe adsorption, desorption, physisorption and chemisorption. (b) Draw a labeled phase diagram for water and explain it briefly.

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A ski starts from rest and slides down a 30 ∘ incline 70 m long. A)If...

A ski starts from rest and slides down a 30 ∘ incline 70 m long.

A)If the coefficient of friction is 0.075, what is the ski's speed at the base of the incline?

B)If the snow is level at the foot of the incline and has the same coefficient of friction, how far will the ski travel along the level? Use energy methods.

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Tris, (HOCH2)3CNH2 (pKb = 5.91), a very common buffer for studying biochemical processes, is prepared by...

Tris, (HOCH2)3CNH2 (pKb = 5.91), a very common buffer for studying biochemical processes, is prepared by a biological chemist using 10.0M NaOH to a pH of 7.79 using 31.52 g of (HOCH2)3CNH3Cl, or TrisH+, (MW=157.597g/mol, pKa 8.075).

(a) Calculate the ratio of [Tris]/[TrisH+] at a pH of 7.79.

(b) Calculate the initial moles of (HOCH2)3CNH3Cl (MW=157.597g/mol) that were added.

(c) Write the chemical reaction between the TrisH+ and the added NaOH.

(d) Calculate the moles of hydroxide used to produce the ratio calculated in part (a).

(e) What volume of 10.0 M NaOH is needed to prepare the buffer?

(f) Now you dilute the solution from above to 1.0 L and take half of the buffer (500.0 mL) and add 0.0100 moles solid HCl. What is the new pH?

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A 0.130-kg cube of ice (frozen water) is floating in glycerine. The gylcerine is in a...

A 0.130-kg cube of ice (frozen water) is floating in glycerine. The gylcerine is in a tall cylinder that has inside radius 3.20 cm . The level of the glycerine is well below the top of the cylinder.

f the ice completely melts, by what distance does the height of liquid in the cylinder change?

Express your answer with the appropriate units.

Does the level of liquid rise or fall? That is, is the surface of the water above or below the original level of the gylcerine before the ice melted?

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The Ads side of the AdS/CFT correspondence is a model of quantum gravity in 5 dimensional...

The Ads side of the AdS/CFT correspondence is a model of quantum gravity in 5 dimensional antidesitter space. What can it say about quantum gravity in our 4-spacetime dimensions? Or is it just a toy model to better our understanding of quantum gravity as a whole?

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Under normal conditions, you are just barely able to lift a mass of 91 kg. Your...

Under normal conditions, you are just barely able to lift a mass of 91 kg. Your friend drops a box of volume 7 m3 into a lake. If you are just able to lift it to the surface (so that it is still completely submerged), what is the mass of the box?

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A.) 1 L of oxygen gas has a temperature of 0

A.) 1 L of oxygen gas has a temperature of 0

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One model for the length of a person's ACL (LACL, in millimeters) relates it to the...

One model for the length of a person's ACL (LACL, in millimeters) relates it to the person's height (h, in centimeters) with the linear function

LACL = 0.4606h ? 41.29.

Age, gender, and weight did not significantly influence the relationship.

(a) If a basketball player has a height of 2.37 m, how long is his ACL?
1    cm

(b) If a pressure of

8 ? 106 N/m2

is applied to his ligament, how much will it stretch?
2    cm

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What are your thoughts around the use of biotechnology for food production ? What are the...

What are your thoughts around the use of biotechnology for food production ? What are the positives as well as the down side?

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Three ideal polarizing filters are stacked, with the polarizing axis of the second and third filters...

Three ideal polarizing filters are stacked, with the polarizing axis of the second and third filters at 29.0? and 55.0?, respectively, to that of the first. If unpolarized light is incident on the stack, the light has intensity 75.0W/cm2 after it passes through the stack.

1. If the incident intensity is kept constant, what is the intensity of the light after it has passed through the stack if the second polarizer is removed?

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Consider the Hamiltonian H, namely, H=A(Jz,1 +Jz,2)+BJ1 ·J2 for a system of two particles in which...

Consider the Hamiltonian H, namely,

H=A(Jz,1 +Jz,2)+BJ1 ·J2

for a system of two particles in which the first particle has a spin of 3/2 (j1), and the other has a spin of 1/2 (j2).

a) Compute the Hamiltonian matrix in the |j1j2;m1m2⟩ basis. (Hint: Be sure to rewrite ˆˆˆˆ
the J1 · J2 operator in terms of J±,i and Jz,i.) Is your matrix diagonal?

b) Determine the eigenvalues of the matrix you found in a).

c) Now compute the Hamiltonian matrix in the |j1j2;JM⟩ basis, where J and M are the ˆ2 ˆ ˆˆˆ
eigenvalues associated with the J and Jz operators, respectively. (Recall J ≡ J1 +J2.) Is your matrix diagonal? What energy eigenvalues do you find? Do your energies agree with those found in the other basis? Should they?

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Two ice skaters, Daniel (mass 69.2 kg) and Rebecca (mass 50.1 kg) are practicing. Daniel stops...

Two ice skaters, Daniel (mass 69.2 kg) and Rebecca (mass 50.1 kg) are practicing. Daniel stops to tie his shoelace and, while at rest, is struck by Rebecca, who is moving at12.7 m/s before she collides with him. After the collision, Rebecca has a velocity of magnitude 6.8 m/s at an angle of 50.1° from her initial direction. Both skaters move on the frictionless, horizontal surface of the rink.

(a) What are the magnitude and direction of Daniel's velocity after the collision?
m/s

(b) What is the change in total kinetic energy of the two skaters as a result of the collision?

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