PLEASE PLUG IN YOUR OWN VALUES FOR THE GIVEN PROBLEM AND SOLVE:

A projectile is fired with an upward aim from a cliff and lands somewhere away and below the cliff. You are asked to find the vertical distance between where the projectile lands and the highest point in the trajectory of the projectile.

Obtain the equation of motion for a 1.25-g mass, at the end of a perfectly elastic spring which, when stretched 3.75 cm from equilibrium and then released from rest, undergoes simple harmonic motion with a period of 0.016667 s. B.) Find the (i) spring constant (ii) maximum velocity and (iii) total energy of the mass. C.) For the above spring find the positions for which the potential energy is one-third the kinetic energy.

Please circle the answer and please make sure that it is true answer.

1-)A physical pendulum consists of a meter stick that is pivoted at a small hole drilled through the stick a distance d from the 50 cm mark. The period of oscillation is 2.24 s. Find d (in cm's).

A Gaussian surface in the shape of a right circular cylinder with end caps has a radius of 10.3 cm and a length of 64.6 cm. Through one end there is an inward magnetic flux of 19.0 μWb. At the other end there is a uniform magnetic field of 2.18 mT, normal to the surface and directed outward. What are the (a) magnitude and (b) direction (inward or outward) of the net magnetic flux through the curved surface?

Please circle the answers and please make sure that it is true answer. Thank you.

A particle executes linear SHM with frequency 0.11 Hz about the point x = 0. At t = 0, it has displacement x = 0.33 cm and zero velocity. For the motion, determine the

(a) displacement at t = 2.2 s, and (b) velocity at t = 2.2 s.

Calculate Madelung constant A for a linear chain and for NaCl crystal numerically with a personal computer by using the screened coulomb potential U = (+/- e^2/ r)e^-(alphar) discuss whar happens when alpha tends to 0

Could you explain why elements with atomic numbers higher than 50 have higher L-alpha and L-beta X-Ray Fluorescence than K-alpha and K-beta X-Ray Fluorescence?

Thank you

A quantity of N molecules of an ideal gas initially occupies volume V. The gas then expands to volume 2V. The number of microscopic states of the gas increases in the expansion. Under which of the following circumstances will this number increases the most? ( i ) if the expansion is reversible and isothermal ( ii ) if the expansion is reversible and adiabatic ( iii ) the number will change by the same amount for both circumstances. Why ?

*ratings for typed answers ONLY*

Answer the following question: How would your results differ if you performed the experiment on Mars? with the given information below!

Using the slope of your T² versus L plot, determine the acceleration due to gravity.

The slope of the graph = 0.042924

Acceleration due to gravity 39.47/0.042924=939,761

Acceleration due to gravity = 9.39 m/s²

Based on your results, please answer the following questions:

1. How close is your experimentally determined gravitational acceleration to 9.81 m/s²? What are potential sources for error in the experiment?

Based on our calculus, our result equals 9.39 m/s2 is close to the value of 9.81 m/s2. The explanation for the small difference is represented by potential errors that took place during the experiment. In most cases, this is due to human error. This can include parallax error that took place when the measurement of lengths was done or a mistake in recording the period of time.

2. For small angles, does the pendulum's period of oscillation depend on the initial angular displacement from equilibrium? Explain.

It is important to understand that the period T is dependent on the length of the string. As we can see, the higher the length is, the longer the value of T is. Because of that, the period T won't be dependent on the mass of the initial angular displacement.

3. Why is it a good idea to use a relatively heavy mass in this experiment? What would you say to a colleague that wanted to use only one washer as the pendulum mass?

An important thing during this experiment is to keep the string as straight as possible during the entire period of motion. In order to do that, it needs to use a relatively high mass to straighten the line. Using only one washer can lead to an incorrect result. This is because one washer represents a small weight, and the air resistance will be more effective.

Attached to each end of a thin steel rod of length 1.10 m and mass 6.60 kg is a small ball of mass 1.07 kg. The rod is constrained to rotate in a horizontal plane about a vertical axis through its midpoint. At a certain instant, it is rotating at 39.0 rev/s. Because of friction, it slows to a stop in 32.0 s. Assuming a constant retarding torque due to friction, find the following.

A) Angular Acceleration

rad/sec^2

B) Retarding Torque

N * m

(a) List three extragalactic distance indicators and briefly describe how they work. (b) How are they calibrated? (c) Give a principal advantage and disadvantage of each.

A long, thin solenoid has 870 turns per meter and radius 2.70 cm . The current in the solenoid is increasing at a uniform rate of 64.0 A/s

What is the magnitude of the induced electric field at a point 0.520 cm

from the axis of the solenoid? (in V/m)

What is the magnitude of the induced electric field at a point 1.30 cm

from the axis of the solenoid? (in V/m)

A uniform ladder is 16 m long and weighs 240 N. In the figure, the ladder leans against a vertical, frictionless wall at height h = 7.0 m above the ground. A horizontal force F→ is applied to the ladder at distance d = 2.8 m from its base (measured along the ladder). If force magnitude F = 46 N, what are (a)x-, (b)y-components of the force of the ground on the ladder? If F = 140 N, what are (c)x-, (d)y-components of the force of the ground on the ladder? (e) Suppose the coefficient of static friction between the ladder and the ground is 0.34; for what minimum value of the force magnitude F will the base of the ladder just barely start to move toward the wall?

In a polarized optical microscope, under a crossed polarized system, a sample of an anisotropic crystal is placed, and the interference color will be changed if the state is rotated. At this time, if the polarizing plate is removed and the natural light is directly irradiated to the crystal, can the change of interference color also be observed when the stage is rotated? Why? Please give the explaination.