A door 1.00 m wide and 2.30 m high weighs 330 N and is supported by two hinges, one 0.70 m from the top and the other 0.70 m from the bottom. Each hinge supports half the total weight of the door.

Part A:

Assuming that the door’s center of gravity is at its center, find the horizontal component of force exerted on the door by hinge on the top.

Ftop h=..... N

Part B:

Find the horizontal component of force exerted on the door by hinge on the bottom.

Fbottom h = ......N

(I got 127 N and -127 N but it still incorrect)

In 1923, the United States Army (there was no U.S. Air Force at that time) set a record for in-flight refueling of airplanes. Using two refueling planes, an Airco DH-4B biplane was able to remain in flight for 37 hours. During the flight, the refueling planes were able to air-transfer a total of 687 gallons of fuel to the plane in 9 refueling transfers. Assume that the refueling nozzle had a diameter of 1.25 inches and each refueling took 2.43 minutes to perform. Calculate the velocity of the fuel through the nozzle. Assume that the fuel filled the entire cross-sectional area of the nozzle.

Types of forces at the nanoscale

A) An atom of iron-56, which consists of 30 neutrons, 26 protons, and 26 electrons, has a mass of 55.9349375 u. Calculate the mass defect for iron-56.

B) Convert the mass defect to energy.

C) Determine the average binding energy per nucleon for iron 56 (in MeV/nucleon).

Lemur and Chimp find a 200-kg treasure chest filled with gold plated bananas. The chest rests on an incline as illustrated below. The coefficient of friction between the chest and incline is 0.60. The incline makes a 35 degree angle with the horizontal. A cord parallel to the incline prevents the box from moving. A) What are the possible tensions in the cord? B) After Lemur cuts the cord, what is the magnitude of the acceleration of the treasure chest? C) What is the speed of the treasure chest after sliding 30 m down the incline?

2.3 g of helium at an initial temperature of 290 Kinteracts thermally with 7.4 g of oxygen at an initial temperature of 600 K .

a.What is the initial thermal energy of each gas?

b.What is the final thermal energy of each gas?

c.How much heat energy is transferred, and in which direction?

d.What is the final temperature?

A hockey puck B rests on frictionless, level ice, and is struck by a second identical puck A, which was originally moving at 50 m/s and is deflected at 30 degrees from its original direction. Puck B acquires a velocity at a 45 degree angle in the other direction. (Let the mass of the puck be m)

A) Find the speed of each puck after the collision.

B) What fraction of the original kinetic energy of puck A disipates during the collision? (As a decimal)

A platinum sphere with radius 0.0161 m is totally immersed in mercury.The densities of platinum and mercury are 2.14*10^4 kg/m3 and 1.36*10^4 kg/m3, respectively.

Find the weight of the sphere, the buoyant force acting on the sphere, and the sphere\'s apparent weight.

The output of a generator is 440 V at 20 A. It is to be transmitted on a line with resistance of

0.60 ?. To what voltage must the generator output be stepped up with a transformer if the
power loss in transmission is not to exceed 0.010% of the original power?
A) 7.3 kV B) 45 kV C) 22 kV D) 30 kW E) 4.4 kV

Briefly explain why there are energy bands (and not individual levels) in semiconductors.

Describe three different ways of creating an induced voltage (or current) from changing magnetic flux. I am looking for just a few lines of text, a sketch of each scenario, and an indication of which term in the magnetic flux equation is changing to produce the voltage (or current). Which method is the most practical for generating voltage at a power plant?

Four identical particles of mass 0.929 kg each are placed at the vertices of a 3.40 m x 3.40 m square and held there by four massless rods, which form the sides of the square. What is the rotational inertia of this rigid body about an axis that (a) passes through the midpoints of opposite sides and lies in the plane of the square, (b) passes through the midpoint of one of the sides and is perpendicular to the plane of the square, and (c) lies in the plane of the square and passes through two diagonally opposite particles?

The archerfish uses a remarkable method for catching insects sitting on branches or leaves above the waterline. The fish rises to the surface and then shoots out a stream of water precisely aimed to knock the insect off its perch into the water, where the archerfish gobbles it up. Scientists have measured the speed of the water stream exiting the fish's mouth to be 3.7 m/s. An archerfish spots an insect sitting 21 cm above the waterline and a horizontal distance of 31 cm away. The fish aims its stream at an angle of 41 ∘ from the waterline. Determine the height above the waterline that the stream reaches at the horizontal position of the insect. DO NOT USE THE KINEMATIC EQUATIONS.

Hello, I have this question that I have been trying to solve for days. I am always able to solve the first part of the question, but I am never able to get the second part. Please help me understand how to set up this problem so I am able to solve it!

Q: Let's revisit the banked curves from earlier to see another reason they are useful.We are building a road, and at one place we need to make a turn with a radius of 30m.  The coefficient of static friction between rubber and the material we are using is 0.6.

Part A: Assuming that the road is flat through the turn, what is the maximum speed a car could have and safely navigate the turn without sliding off the road?

Part B: Instead of keeping the road flat, let's bank the turn a little bit, giving the road an angle of 20∘ above the horizontal. With the banked turn, what is the maximum speed a car could have and still make it around the turn without sliding?

The answer for part A is 13.3 m/s and the answer for part B is 19 m/s but I don't know how to get the answer for part B.

It lies in a one-dimensional box that is 0.1nm long. Find the following.
(1) Draw a diagram of the energy levels of electrons up to n=4.
(2) Obtain the wavelengths of all photons that could be released when electrons are transferred from n=4 to n=1.