Two particles are fixed on an x axis. Particle 1 of charge 57.8 μC is located at x = -12.7 cm; particle 2 of charge Q is located at x = 16.3 cm. Particle 3 of charge magnitude 40.6 μC is released from rest on the y axis at y = 12.7 cm. What is the value of Q if the initial acceleration of particle 3 is in the positive direction of (a) the x axis and (b) the y axis?

During the process of charging a capacitor C through a resistance R ; the physical quantity that decreases exponentially with time is :

Select one:

A. the time constant of the RC circuit

B. the charge on the capacitor

C. the potential difference across the capacitor

D. the charging current

C++ language, only math equation, no code.

A Box on a slope slides under the following force F = m*g*sin(theta) - 0.2v(t). Assume m = 1kg and g=10 and theta = 30'. We want to simulate the slide using dt = 0.1 second interval. This means update frame rate is 10 per second. Initial speed is 0. After 2 seconds we like to know what is the current position and speed of the box. We want to do this using Explicit Euler(EE), Semi-Explicit Euler(SE), and Verlet Method for updating at each frame.

a) What are the update equations for EE method?

b) What are the update equations for SE method?

c) What is the update equation for Verlet method? How do you choose the initial first 2 positions in this method?

d) Provide a table showing updates per frame for each method. This means there are 3 columns, one for each method, and there are 20 rows for 20 frames to comprise 2 seconds of updates. Which method is more out of sync with the other 2 methods?

e) What is the maximum speed of decent of the box on the slope? why? (hint. Use analytical way to argue what is the maximum speed)

1. We will look at the discharge time of a capacitor to find its capacitance. Consider a circuit with a 6.00 V battery and a resistor with 102,000 ohms. Complete the two tables below using Equation (5a) to find the capacitor values. Print a graph of ln(V_C) vs. Decay Time (s) for each capacitor. Equation (5a) is     

11) When we solved problems dealing with objects in free-fall, we often exploited a symmetry that led to the conclusion that the time it takes an object to go from a starting height to a maximum height (where the vertical (y-direction) velocity is zero) is the same as the time that it takes for the object to fall from that maximum height back to the starting height. If we introduce air resistance as a force similar to a friction force, does that change the symmetry between the time to the top of the trajectory and the time to fall down to the starting height? (note that air resistance is a little more complicated than a constant force like friction, but that simplification won’t change our answer here if we speak in general terms)

1. For an ideal gas at a constant temperature, which variable change corresponds directly to how much work can be extracted from an engine process? Explain why.

2. You learned how the Doppler effect can be used to show how sound waves will change their frequency when the source object is moving. How can this knowledge be applied toward studying how stars move?

3. A lightning rod is a pointed copper rod mounted on top of a building and welded to a heavy copper cable running down into the ground. Lightning rods are used to protect buildings from lightning; the lightning current runs through the copper rather than through the building. Why does it do this?

4. Some older cars have antennas that can be manually retracted and extended (changing the length). Suppose your friend drives one of these cars and never extends the antenna. Explain to them why this is not the best decision if they want their songs to come in on the radio clearly.

5. Why is it that rainbows always show up with red on the outside of the arc and blue on the inside? Can you have a rainbow with its colors reversed?

Determine the size of the solar array and the number of batteries required to power a pump that will pump water from a 150 ft deep well to a storage tank that is 60-ft above the ground surface. Use the Internet to identify 1) the pump model 2) the solar array kit size and 3) the battery type.

1. You slide an object across a horizontal surface, that object will eventually slow down and stop. What’s causing this and why?

2. Name two instances in your daily life where “conservation of energy” plays a role.

3. In a very general sense, if one object hits another that is stationary, how does the collision’s type (elastic vs. inelastic) affect the energy of the objects?

4. When opening a door, it is easier to do so by pushing on the doorknob, far from the hinges. Why?

5. Why can a molecule with three atoms store more energy than a molecule made of only one atom?

E field of a uniform and planar distribution of charge

A uniform surface charge density of 5nC/m2 is present in the region x=0, -2<y<2 and all z. if ε=ε0, find E at:
a) PA(3,0,0)
b) PB(0,3,0)

A straight wire lying in a horizontal plane carries a current of 20 A. (Given, μ0 = 4π × 10-7 Tm/A)
(a) Find the magnitude of the magnetic field at a perpendicular distance of 35 cm from it on the plane. How do you know the direction of the magnetic field?
(b) If the length of the current carrying straight wire is 0.75m and it makes an angle of 60° with the Earth’s magnetic field 6× 10-5 T, find the force experienced by the wire.
(c) Now, ignore the earth’s magnetic field. The wire (carrying 20 A) feels an attractive force of 0.006 N/m due to another parallel wire which lies in the same plane carrying current 25 A. Calculate the distance between these two wires.

please paraphrase this paragraph in different way.

(The first oxygen-sensing mechanism by fluorescence was demonstrated by Kautsky in the early 20th century. and the first fluorescence system with an integrated UV source was developed in 1968 by Bergman.. A wide variety of fluorophores, such as organic probes, metal-ligand complexes, and luminescent nanomaterials make this technique versatile. Metal−ligand complexes have a longer lifetime and large Stokes shift and are more stable when compared to organic probes. In metal-ligand complexes, ruthenium-based oxygen sensing is the most studied and widely used fluorophore because of its wideband excitation (400−480 nm) and large Stokes shift, resulting in an emission region of >610 nm. The importance and working principle of the fluorescent responsive ruthenium dye

When a fluorophore is illuminated with a suitable wavelength, it will be excited to the higher energy state S1 from the lower energy state S0, and the relaxation path from the higher energy state to the lower ground state can be possible by either fluorescence or phosphorescence)

please not in handwriting

Four objects are located as follows: 3.70 kg at (0, +12.0 m), 2.80 kg at (-16.0 m, 0), and 7.40 kg at
(+35.0 m, 0). Find the:

A) center of mass.

B) magnitude and direction of the force of gravity on the 3.70 kg object

C) total gravitational potential energy of the system.

A very long conductive tube has inner radius a and outer radius b. It carries charge per unit length +alpha (C/m). A line of charge with linear charge density +alpha lies along the axis of the tube. Calculate the electric field’s magnitude in terms of alpha and the distance r from the axis of the tube in each of the regions: r<a, a<r<b, r>b.

7) A 1.5 kg of -5 °C ice is introduced into a container holding 400. L of 110 °C steam. What is the final temperature of the system in equilibrium? Assume no heat is exchanged with the container or the surroundings.

Use 0.598 kg/m^3 for the density of steam.

in what ways did WWI and WWII affect awareness of mental health disorders among the federal government and the American public? With what results?