(a) You took two 50-g ice cubes from your −15 C kitchen freezer and placed them in 200 g of water in a thermally insulated container. If the water is initially at 25 C, what is the final temperature at thermal equilibrium? (b) What is the final temperature if only one ice cube is used? Hint: Watch out for the different possibilities!

A stone is thrown from the top of a building at an angle of -20.0 degrees relative to the horizontal with an initial velocity of 30.0 m/s. The building is 65.0 m tall. 1. Determine how long the stone is in the air 2. Determine the speed of the stone right before it hits the ground. 3. determine the angle of velocity with respect to the x-axis at impact. 4. Determine where the stone strikes the ground.

A stuntman whose mass is 76 kg swings from the end of a 3.5-m-long rope along the arc of a vertical circle. Assuming that he starts from rest when the rope is horizontal, find the magnitudes of the tensions in the rope that are required to make him follow his circular path at each of the following points.

(a) at the beginning of his motion

(b) at a height of 1.5 m above the bottom of the circular arc

(c) at the bottom of the arc

A circular coil with a diameter of 25.0 cm and 158 turns rotates about a vertical axis with an angular speed of 1230 rpm . The only magnetic field in this system is that of the Earth. At the location of the coil, the horizontal component of the magnetic field is 3.81×10−5T, and the vertical component is 2.85×10−5T.
Find the maximum emf induced in the coil.
Answer in mV

Sunlight, reflected from the still surface of a lake (n = 1.33), is totally polarized when the incident light is at what angle with respect to the horizontal? Give your answer to 2 s.f.  

Raise a problematic situation in real life, where mechanical physics is needed to solve it.

The problem raised should contain the following topics, without being limited to this list.

1. Conservation of mechanical energy

2. Conservation of the line or bi-dimensional moment

3. Rotational dynamics

The route followed by a hiker consists of three displacement vectors , , and . Vector is along a measured trail and is 1360 m in a direction 16.0 ° north of east. Vector is not along a measured trail, but the hiker uses a compass and knows that the direction is 27.0 ° east of south. Similarly, the direction of vector is 15.0 ° north of west. The hiker ends up back where she started, so the resultant displacement is zero, or + + = 0. Find the magnitudes of (a) vector b and (b) vector c

You launch a projectile horizontally from a building 29.5 m above the ground at another building 40.6 m away from the first building. The projectile strikes the second building 14.0 m above the ground. What was the projectile s launch speed?

Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is 1.80 ✕ 10⁵ Pa and the pipe radius is 2.90 cm. At the higher point located at

y = 2.50 m,

the pressure is 1.30 ✕ 10⁵ Pa and the pipe radius is 1.60 cm.

1. find the speed flow for lower section

2. find the speed of flow in the upper section

3. find the volume flow rate through the pipe

10-4=5=6

a. A car traveling on a flat (unbanked), circular track accelerates uniformly from rest with a tangential acceleration of 2.10 m/s². The car makes it one quarter of the way around the circle before it skids off the track. From these data, determine the coefficient of static friction between the car and track.

b.A 250-kg merry-go-round in the shape of a uniform, solid, horizontal disk of radius 1.50 m is set in motion by wrapping a rope about the rim of the disk and pulling on the rope. What constant force would have to be exerted on the rope to bring the merry-go-round from rest to an angular speed of 0.400 rev/s in 2.00 s? (State the magnitude of the force.)

c. A  potter's wheel—a thick stone disk of radius 0.500 m and mass 110 kg—is freely rotating at 50.0 rev/min. The potter can stop the wheel in 6.00 s by pressing a wet rag against the rim and exerting a radially inward force of 73.0 N. Find the effective coefficient of kinetic friction between the wheel and rag.

On planet #3, you fire a projectile horizontally from the edge of a vertical cliff 34.4 m above the ground, with an initial speed of 72.6 m/s. The projectile lands 63.5 m away from the base of the cliff. What is the value of g for planet #3?

A curve of radius 70 m is banked for a design speed of 100 km/h . If the coefficient of static friction is 0.33 (wet pavement), at what range of speeds can a car safely make the curve?

QUESTION 1

1. In the equation to determine the total magnification for a microscope, what does N stand for?

   	1.	The index of refraction of the eyepiece.
   	2.	The index of refraction of the objective.
   	3.	The average index of refraction of both lenses combined with diffraction.
   	4.	The number of lenses on the microscope.
   	5.	The distance the user can see an image with a relaxed eye.
   	6.	The next point of contact for the observer diffracted lens.

3 points   

QUESTION 2

1. You sometimes see a fringe of color around an image seen in a simple lens. This is caused by

   	1.	differential chronometry.
   	2.	diffractive chronometry.
   	3.	spherical aberration.
   	4.	chromatic aberration.
   	5.	differential aberration.

3 points   

QUESTION 4

1. You can correct nearsightedness by placing a _______ lens in front of the eye

   	1.	compact
   	2.	extended
   	3.	final
   	4.	initial
   	5.	converging
   	6.	diverging

3 points   

QUESTION 7

1. If the focal length of a person's eye is less than that distance from the lens to the retina, then

   we say that person is

   	1.	nearsighted
   	2.	farsighted
   	3.	hyperopic
   	4.	astigmatic

3 points   

QUESTION 8

1. We can use lenses to correct for a person nearsightedness by

   	1.	forming an image of distant objects between the person's eye and their far point
   	2.	forming an image of distant objects the focal point of the eye
   	3.	forming an image of distant objects between the object and their far point
   	4.	magnifying the image of all distant objects

3 points   

QUESTION 9

1. When the eye views a distant object, the ciliary muscles are ______ allowing

   the eye's lens to be more __________

   	1.	tense, curved
   	2.	relaxed, flat
   	3.	compact, narrow
   	4.	retracted, open

3 points   

QUESTION 10

1. The shortest distance at which the eye can focus sharply on an object is referred to

   as the

   	1.	near point.
   	2.	radius of curvature.
   	3.	focal length.
   	4.	ciliary distance.