A wire carries an I₁ = 7.85-A current along the x-axis, and another wire carries an I₂ = 5.85-A current along the y-axis, as shown in the figure below. What is the magnetic field at point P, located at x = 4.00 m, y = 3.00 m?

#4. A vase was placed on the coffee table. The coefficient of static friction between the vase and the table is 0.3689, whereas the coefficient of kinetic friction is 0.1339. The vase weighs 1.0707kg. A cat decided to redecorate the room by pushing the vase off the table. As the cat pushes the vase with its paw, the vase moves. Then, the cat maintains a constant applied force of 7.37N on the vase in the positive x-direction. What is the acceleration of the vase in the x-direction during the time when the vase is moving?

#6. A student has two springs. Spring 1 is twice the mass of spring 2. The student first puts spring 1 into a massless pouch and suspends it from spring 2. Spring extension was noted to be 12.69cm. Then, they put spring 2 into a massless pouch and suspend it from spring 1. Spring extension was noted to be 16.42cm.
What is the ratio of k1/k2?

A hockey puck (1) of mass 130 g is shot west at a speed of 8.40 m/s. It strikes a second puck (2), initially at rest, of mass 124 g. As a result of the collision, the first puck (1) is deflected at an angle of 32° north of west and the second puck (2) moves at an angle of 40° south of west. What is the magnitude of the velocity of puck (1) after the collision?

a) If an atom has an electron in the n=3 state with m=1, what are the possible values of l, the angular momentum quantum number?

b)What are the possible values of m for an electron in the n=3 state?

Does a flat mirror produce a real or virtual image? What is its magnification?

A block of mass m1=4.00 kg moves on the surface of a horizontal table. The coefficient of kinetic friction between the table top and m1 is equal to 0.350. Block 2 of mass m2=2.00 kg is tied to m1 via a string that passes over a frictionless, massless pulley. The two blocks start from rest and m2drops by a distance L=1.75 m to the floor.

Calculate the net work Wnet done by all the forces acting on the system

An object that weighs 1180 N rests on a lever at a point 0.370 m from a support. On the same side of the support, at a distance of 3.00 m from it, an upward force with magnitude F is applied. Ignore the weight of the board itself. If the system is in equilibrium, what is F? Express your answer in Newtons. where P = 1180 and x = 0.370. N

what are the classical explanation and quantum explanation for the existence of the fringe pattern?

A) Three equal charges 6.3 ?C are located in the xy-plane, one at (0 m, 51 m), another at (56m,0m),and the third at(57m,?66m).

Find the magnitude of the electric field at the origin due to these three charges. The value of the Coulomb constant is 8.98755

A block with mass mA = 15.0 kg on a smooth horizontal surface is connected by a thin cord that passes over a pulley to a second block with mass mB = 6.0 kg which hangs vertically.

Determine the magnitude of the acceleration of the system.

Express your answer to two significant figures and include the appropriate units.

If initially mA is at rest 1.250 m from the edge of the table, how long does it take to reach the edge of the table if the system is allowed to move freely?

Express your answer to two significant figures and include the appropriate units.

If mB = 1.0 kg, how large must mA be if the acceleration of the system is to be kept at g100?

Express your answer to two significant figures and include the appropriate units.

Two small forward-facing speakers are 2.50 m apart. They are both emitting, in phase with each other, a sound of frequency 1100 Hz in a room where the speed of sound is 344 m/s. A woman is standing opposite the midpoint between the speakers and is initially 35.0 m from the midpoint. As she slowly walks parallel to the line connecting the speakers, at what angle θ (relative to the centerline coming outward from the midpoint between the speakers) will she first hear no sound?

Q2) A 400-gram package lying on a horizontal surface is attached to a horizontal string which passes over a smooth pulley. When a mass of 200 grams is attached to the other end of the string, the package is on the point of moving. Find μS, the coefficient of static friction

Where there are multiple forces acting on the same object, draw a free-body diagram (i.e a diagram where each vector for each of the different forces is shown): A book on a table has a coefficient of static friction of 0.1 and a coefficient of kinetic friction of 0.05. The book has a mass of 1kg. The table has a length of 3m. Suppose you gently tilt the table until the book starts to slip and then leave the angle of the book at that critical angle afterwards. How long will it take the book to slide to the end of the table?