A thin spool with a mass of 2.0kg and a radius of 15cm is hung in a fixed position so that it is free to rotate. A massless string is wrapped around it with a 0.80kg mass tied at the end. When the mass is released, the spool begins to unwind.

What is the rotational inertia of the spool? (You can treat it as a thin disk.)

What is the kinetic energy and angular momentum of the spool 2.0s after the

hanging mass is released?

What is the kinetic energy and angular momentum of the spool after 3 full

rotations?

An object is placed 10 m before a convex lens with focal length 5 . 9 m . Another convex ens is placed 9 . 39 m behind the first lens with a focal length 3 . 8 m (see the figure below). Note: Make a ray diagram sketch in order to check your numerical answer a)At what distance is the first image from the first lens? Answer in units of m
b)What is the magnification of the first image?
c)At what distance is the second image from the second lens? Answer in units of m
d)What is the magnification of the final image, when compared to the initial object?

2(a) A typical metallic particle has a rest mass (i.e. mass when the particle is not moving) of 0.5x10-24Kg and an energy of 10 eV (Electron Volt). (i) What would be the wavelength and momentum of the associated wave for this particle? -- (5) (ii) Assuming the uncertainty principle and a spherical particle, estimate the diameter of this particle? Is it a nanoparticle ? ----------------------------------------- (5) (iii) This particle passes through an inter-lattice spacing of 1nm along the x axis. What would be the spread of the particle in the y-axis, 10microns from this interlattice spacing ------- (5) 2. (b) The primitive translation vectors of the hexagonal space lattice may be taken as z ccy a xaby a xaa     ; ) 2 () 4 3 (;) 2 () 4 3 ( (a) Calculate the volume of the primitive unit cell ------ (5) (b) What is its atomic packing fraction ? ----- (5)

A child is playing with a ball at the base of a hill. She rolls the ball up the hill with a speed of 8 m/s. After 23s, the ball comes back to her and has the same speed as when she rolled it but it's moving in the opposite direction. Assume that the ball's acceleration was constant as it rolled up and down the hill, and take the positive direction to point up the hill.

What was the ball's acceleration while rolling up and down the hill?

A swimming pool is 1.4 m deep and 12 m long. Is it possible for you to dive to the very bottom of the pool so people standing on the deck at the end of the pool do not see you?

A) Assume you dive to the very bottom of the pool so people standing on the deck at the end of the pool can see you. Find the minimum height of the person's eyes at the far side of the pool, so you would be observable by this person. Take an angle 48.5∘ for a ray that is incident at the water-air interface (nwater = 1.33).

B) Therefore, is it possible for you to dive to the very bottom of the pool so people standing on the deck at the end of the pool do not see you?

A loudspeaker of mass 17.0kg is suspended a distance of h = 2.40m below the ceiling by two cables that make equal angles with the ceiling. Each cable has a length of l = 2.50m .

What is the tension T in each of the cables?

Use 9.80m/s2 for the magnitude of the acceleration due to gravity.

A vase falls off a table and shatters into three fragments which move away horizontally across the floor. Fragment 1 has half the mass of the original vase and travels with speed 34.5 cm/s. Fragment 2 has one-quarter the mass of the original vase and travels with speed 26.6 cm/s in a direction perpendicular to Fragment 1.

What is the speed (in cm/s) of the third fragment?

Explain why there might be discrepancies for the different types of radiation if graphed in the same manner as your count rate versusinverse square of the distance graph. What type of radiation would you imagine having the most discrepancy?

Two frictionless “hoverpucks” (puck 1 and puck 2) with mass 0.20 kg are travelling on a collision course with a third hoverpuck which is at rest and has mass 0.40 kg. Before they collide, puck 1 has velocity (1.0 m/s) î – (1.0 m/s) ĵ. After the collision they all stick together and have velocity (2.0 m/s) î + (0.5 m/s) ĵ. Friction is negligible.

a) What is the velocity of puck 2 before the collision?

b) What is the total impulse on puck 1 during the collision?

c) If the duration of the collision was 0.15 s what was the average force exerted by puck 3 on puck 1?

d) How much kinetic energy is gained or lost by the three-puck system?

A block of mass m = 2.00 kg is released from rest at h = 0.400 m above the surface of a table, at the top of a ? = 40.0

Always when we want to represent the magnetic field of the earth we see a similar image:

enter image description here

My question is, what exactly does this show? What are the blue and orange lines, what do they represent? Why are they curved like that? I have a vague idea about field lines, but I do not fully comprehend this. An explanation would be appreciated

The atmosphere many times is related to the typical

1) Which is hottest? 200 F or 200 C or 200 Kelvin

2) Convert (- 40) C to Fahrenheit .

3) What is the hottest possible temperature?

4) Thermometers are used to measure temperature. There are many different types of thermometers. One type is based on a thermocouple . Briefly describe how a thermocouple works.

5) What is the recommended temperature for inside a residential refrigerator?

A bicycle wheel has a diameter of 63.7 cm and a mass of 1.83 kg. Assume that the wheel is a hoop with all of the mass concentrated on the outside radius. The bicycle is placed on a stationary stand and a resistive force of 125 N is applied tangent to the rim of the tire.

(a) What force must be applied by a chain passing over a 9.10 cm diameter sprocket if the wheel is to attain an acceleration of 4.47 rad/s2?__________N

(b) What force is required if the chain shifts to a 5.50 cm diameter sprocket?___________ N

A billiard ball of mass mA = 0.400 kg moving with a speed vA,0 = 1.80 m/s strikes a second ball, initially at rest, of mass mB = 0.500 kg. As a result of the collision, the first ball is deflected off at an angle of 30.0 o with a speed vA = 1.10 m/s.

a) What is the speed vB and angle of deflection θB of ball B? Take the x axis to be the direction of motion of ball A before the collision.

b) Is the collision elastic? You must support your answer with a calculation.