. Active sonar is used to determine the speed of an oncoming submarine. You send out a signal with a frequency of 500.0Hz. Your submarine is traveling at 13.0 m/s and the enemy is coming towards you at 9.00 m/s. Use the wave i.e. speed of sound as 1480m/s. a. What frequency will be reflected off the enemy? b. What frequency will be received by your submarine from the reflection? c. The enemy stops and sends his own signal of 600.0Hz. You receive his signal at what frequency? You are still moving towards him.

Assume air resistance is negligible unless otherwise stated.

Calculate the displacement in m and velocity in m/s at the following times for a rock thrown straight down with an initial velocity of 13.2 m/s from the Verrazano Narrows bridge in New York City. The roadway of this bridge is 70.0 m above the water. (Enter the magnitudes.)

(a)

0.500 s

displacement m

velocity m/s

(b)

1.00 s

displacement m

velocity m/s

(c)

1.50 s

displacement m

velocity m/s

(d)

2.00 s

displacement m

velocity m/s

(e)

2.50 s

displacement m

velocity m/s

Considering the illustrations for Concave and Convex mirrors.

Prove using geometry that the reflected rays reach the focal point f=R/2 in the limit as the incoming rays approach the principal axis.

Hint: Consider the triangle formed by the radius of curvature, principal axis, and reflected ray, and use the law of sines.

1.Check your car and find some electric/magnetic components, explain their working principle from physics. Such as battery, generator, alternator, starter, speed sensor, etc. Must list more than 4 components.

A hockey puck slides on the ice with an initial velocity of vi1 = 5 m/s in the positive x direction. A second hockey puck is sliding to the left with an initial velocity of vi2 = 3 m/s. The two pucks collide and after the collision puck 1 has a final velocity of vf1 = 3 m/s in the positive x direction at an angle of 30 degrees above the positive x axis. Is the collision elastic or inelastic?

Please show all work.

19.

How is the probability of something defined in terms of microstates and macrostates?

An object is moving along a straight line, and the uncertainty in its position is 2.20 m. (a) Find the minimum uncertainty in the momentum of the object. Find the minimum uncertainty in the object's velocity, assuming that the object is (b) a golf ball (mass = 0.0450 kg) and (c) an electron.

Two rods, one made of brass and the other made of copper, are joined end to end. The length of the brass section is 0.500 m and the length of the copper section is 0.700 m . Each segment has cross-sectional area 0.00700 m2 . The free end of the brass segment is in boiling water and the free end of the copper segment is in an ice-water mixture, in both cases under normal atmospheric pressure. The sides of the rods are insulated so there is no heat loss to the surroundings.

A. What is the temperature of the point where the brass and copper segments are joined?

B.

What mass of ice is melted in 9.00 min by the heat conducted by the composite rod? Express your answer with the appropriate units.

If you were to replace the ocean with or mercury or oil, which works best for a boat's ability to float?. Thank you.

A 6.0 kg freshwater fish at the surface of a lake is neutrally buoyant.If the density of its body with its swim bladder deflated is 1060 kg/m3, what volume of gas must be in the swim bladder for the fish to be neutrally buoyant? Express your answer to two significant figures and include the appropriate units.

1) A mover pushes a 5.87 kg box with a 48.1 N constant horizontal force up a 14.9° ramp that has a height of 2.56 m. If the ramp is assumed to be frictionless, find the speed of the box as it reaches the top of the ramp using work and energy.

2) A 1100 kg car is traveling 35.5 m/s when it comes up to the bottom of a 14.0° hill. If the car coasts up the hill and the coefficient of rolling friction is 0.450, how far up the hill will the car travel?

1.) A 1.00m long, 5.00kg rod is held at one end. How much torque is generated by the bar? What happens to the torque if the mass remains consant but the length is doubled?

2.) A large light (2.00kg) is held away from a wall by a 50.0cm rod (massless) and a cable that attaches to the wall at a 45 degree angle. Find the forces provided by the wall and the cable on the rod.

Compare and contrast the eye and a camera. What parts of the camera correspond to the iris, the retina, and the cornea of the eye?

This week two big concepts discussed are electric fields and electric potential, with electric potential being the basis for voltage. Along with the general discussion of these concepts, some interesting and common applications were briefly talked about like copiers, printers, TVs, etc.

Can you find two examples - one for electric field, one for electric potential - that are connected to the field of biology

Please no handwritten or picture responses - only typed replies.