Weighing Lunch

For lunch you and your friends decide to stop at the nearest deli and have a sandwich made fresh for you with 0.100 kg of turkey. The slices of turkey are weighed on a plate of mass 0.400 kgplaced atop a vertical spring of negligible mass and force constant of 200 N/m . The slices of turkey are dropped on the plate all at the same time from a height of 0.250 m . They make a totally inelastic collision with the plate and set the scale into vertical simple harmonic motion (SHM). You may assume that the collision time is extremely small.

Part A

What is the amplitude of oscillations A of the scale after the slices of turkey land on the plate?

Express your answer numerically in meters and take free-fall acceleration to be g = 9.80 m/s2 .

A = ?? m

Part B

What is the period of oscillation T of the scale?

Express your answer numerically in seconds.

T = ?? s

In an ink-jet printer, drops of ink are given a controlled amount of charge before they pass through a uniform electric field generated by two charged plates. If the electric field between the plates is 1.5x106N/C over a region 1.20cm long, and drops of mass 0.12nanograms enter the electric field region moving horizontally at 10m/s, (a) how much charge on a drop is necessary to produce a vertical deflection of 0.50mm at the end of the electric field? (b) What is the vertical deflection between the point where it leaves the plates and where it strikes the paper, if the paper is 0.50cm from the end of the charged plates? Ignore other forces such as gravity and air resistance, and assume the field between the plates is vertical and constant, and drops abruptly to zero at the edge of the plates. (a) C (b) cm

(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

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

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

(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.

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.

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?

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?

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?

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

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

L_ACL = 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

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?