Air flows through this tube at a rate of 1400cm3/s . Assume that air is an ideal fluid.

What is the height h of mercury in the right side of the U-tube?

A tall tree is growing across a river from you. You would like to know the distance between yourself and the tree,as well as its height, but are unable to make the measurements directly. However, by using a mirror to form an image of the tree and then measuring the image distance and the image height, you can calculate the distance to the tree as well as its height. Suppose that this mirror produces an image of the sun, and the image is located 0.8610 m from the mirror. The same mirror is then used to produce an image of the tree. The image of the tree is 0.9902 m from the mirror. (a) How far away is the tree? (b) The image height of the tree has a magnitude of 0.20 m. How tall is the tree?

A proton beam is used to irradiate a tumor. The beam is created starting with hydrogen gas, ripping off the electrons, and extracting the protons in an electric field. The protons are accelerated from approximately rest across a potential difference totaling 8.3 million Volts. The speed of the protons after acceleration is …

show step by step answer should be 4.0x10^7 m/s

Two 14-cm-diameter electrodes 0.44 cm apart form a parallel-plate capacitor. The electrodes are attached by metal wires to the terminals of a 20 V battery.

A. What are the charge on each electrode, the electric field strength inside the capacitor, and the potential difference between the electrodes while the capacitor is attached to the battery? Find Q, E, and ∆V.

B. What are the charge on each electrode, the electric field strength inside the capacitor, and the potential difference between the electrodes after insulating handles are used to pull the electrodes away from each other until they are 0.88 cm apart? The electrodes remain connected to the battery during this process. Find Q, E, and ∆V.

C. What are the charge on each electrode, the electric field strength inside the capacitor, and the potential difference between the electrodes after the original electrodes (not the modified electrodes of part B) are expanded until they are 28 cm in diameter while remaining connected to the battery? Find Q, E, and ∆V.

The tallest cliffs ever discovered in our solar system are located on Uranus’s moon Miranda (g=0.0772 m/s^2 ). If you were to drop a rock off of one of these cliffs, it would take 12 minutes to hit the bottom. a. How high is the cliff? b. What is the speed of the rock when it hits the bottom?

In a belt drive the motor pulley has a diameter of 250 mm and rotates at 420 RPM. The machine pulley diameter is 350mm.

a) Determine the linear velocity of the belt and the rotational frequency of the machine pulley.

b) If the motor pulley accelerates from rest at 2 rads/s^2 how long does it take the motor pulley to reach 420 RPM.

Find the angular speed of the turntable after the parachutist lands.(Assume that you can treat the parachutist as a particle.)

Consider a 80.0-kg man standing on a spring scale in an elevator. Starting from rest, the elevator ascends, attaining its maximum speed of 1.36 m/s in 0.700 s. It travels with this constant speed for the next 5.00 s. The elevator then undergoes a uniform acceleration in the negative y direction for 1.70 s and comes to rest.

I can't seem to get the right answer on this one. Please help. Can someone show me the steps?

Collisions in 1-D

One cart with some mass Mc travels without friction on a 1-D tack at a speed of 1.75 m/s. Another cart sits at rest some distance along the track. The two cars will collide in a perfectly elastic collision. Calculate the final speed of each cart in the following scenarios:

A) The stationary cart has a mass equal to that of the moving cart, Mc

B) The stationary cart has a mass equal to half that of the moving cart, .5xMc

C) The stationary cart has a mass equal to 10 times that of the moving cart, 10xMc

Match each statemet with one of the following options

A: ... the same

B....the same

Select the correct statements in the following list.

A horizontal wire carries a current straight toward you. From your point of view, the magnetic field caused by this current circles the wire in a  counter-clockwise direction

The voltage across the terminals of a battery when a current flows is called the electromotive force.

If you connect two identical storage batteries together in parallel, and place them in a circuit, the combination will provide twice the voltage.

A charged particle moves across a constant magnetic field. The magnetic force on this particle causes the particle to accelerate.

A nuclear power reactor produces 3GW of thermal power from the fission of 235U for a period of 10 weeks and then it is shut down. Note: All numerical answers are expected with 3 significant figures. (a) Assuming 78% of the 200MeV released per fission event is converted to heat, estimate the number of 235U nuclei fissioned over the 10 week period. (b) 6 % of the 235U fission events produce as a fission fragment some radioactive nuclide X (e.g. 137Cs), which has a half-life of 38 years. Consider the amount of X nuclei produced during the 10 week operation of the reactor in Part A and calculate the activity of X left in the used fuel 38 years after the reactor is stopped. (c) Following Part B, estimate the power (in kW) produced by these decays of X 38 years after the reactor shutdown if each decay of X releases 1.6 MeV .

Do this problem by making a neat, precise scaled drawing, using a ruler and protractor, ready to be turned in at the start of our next class. NOTE: "azimuth" means compass direction. North is considered 0°, east is 90°, south is 180°, and west is 270°.

Dr. Evil has been captured and is in a prison awaiting trial. His minions fly a helicopter to the prison, land in the courtyard, and hurriedly get him aboard. They take off. Hoping to confuse the police, they fly 35 km at azimuth 72°, then turn and go 57 km toward azimuth 52°, then turn again and fly 30 km at azimuth 325°, arriving at Dr. Evil's secret lair.

1. How far east of the prison is Dr. Evil's lair? (Negative if the final position is west.)

2. How far north of the prison is Dr. Evil's lair? (Negative if the final position is south.)

The prison authorities track the flight on radar, and thereby learn the location of Dr. Evil's secret lair. They have another helicopter, and take off to recapture Dr. Evil. They fly straight there from the prison.

3. How far do they have to fly distance:

4. and in what direction? azimuth: °

David is driving his prius on the freeway and reaches his exit. The exit has a radius of curvature of 25 m and is banked at 38 degrees. How fast can David travel around the curve on a dry day (where the coefficient of friction between his tires and the road is 1)? How fast can he travel around the curve on a rainy day (when the coefficient of friction between his tires and a wet road is 0.75)? Give your in miles per hour. Show all work and explain each step.