Alpha particles of a certain initial kinetic energy are projected at nuclei with atomic number Z = 60. The closest distance of approach of the alpha particles to the nucleus is 100 fm (fm = femtometer = 10^-15 m). If alpha particles of the same initial kinetic energy are projected at nuclei with atomic number 88, what is the distance of closest approach? Give your answer in fm. (Enter the number only -- do not include the units in your answer.)

Your Answer:

Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m,2.9 kg at (0.0, 3.2) m, and 4.0 kg at (2.7, 0.0) m. Where should a fourth object of 7.4 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m?

When the U.S. submarine Squalus became disabled at a depth of 54.6 m, a cylindrical chamber was lowered from a ship to rescue the crew. The chamber had a radius of 2.71 m and a height of 2.35 m, was open at the bottom, and held two rescuers. It slid along a guide cable that a diver had attached to a hatch on the submarine. Once it reached the hatch and clamped to the hull, the crew could escape into the chamber. During the descent, air was released from tanks to prevent water from flooding the chamber. Assume the interior air pressure matched the water pressure at depth h as given by p=p0+ρ⁢g⁢h, where p0 = 1.00 atm is the surface pressure and ρ= 1040 kg/m³ is the density of seawater. Assume a surface temperature of 24.0 ˚C and a submerged water temperature of -21.1 ˚C. (a) What is the air volume in the chamber at the surface? (b) If air had not been released from the tanks, what would have been the air volume in the chamber at depth h = 54.6 m? Assume that h is a depth of water surface inside the chamber below the sea level. (c) How many moles of air were needed to be released to maintain the original air volume in the chamber?

Describe the reason why the scientific method is the basis for scientific discovery and the role that it plays in creating sound and reliable theories.

***Note, this is an extended essay question, worth 40 points. The response should be formatted in multi-paragraph essay with attention to essay structure, grammar mechanics, and APA formatting.***

A mass m = 1 kg is attached to a spring with constant k = 4 N/m and a dashpot with variable damping coefficient c. If the mass is to be pulled 5 m beyond its equilibrium (stretching the spring) and released with zero velocity, what value of c ensures that the mass will pass through the equilibrium position and compress the spring exactly 1 m before reversing direction?

c =

You need to increase the distance that a KrF laser at 0.248 µm with a beam radius of 0.322 mm can reach. To do so you need to design a beam expander to enlarge the beam radius to 2.806 mm. You are given second lens f2= 71.4cm. Do both Galilean and Keplerian expander and draw the design. State what f input lens is required and the length of the system. Make a diagram for each system. (b) What is the Rayleigh range before and after the beam is expanded . (c) What is the spot size at a distance of 139.8 m for both the original and expanded beam? Distances are from the laser for the original and from the beam expander output second case.

Share one physics equation that is relevant to a hand cannon(explain why)

A 6.09 mm high firefly sits on the axis of, and 11.7 cm in front of, the thin lens A, whose focal length is 5.63 cm Behind lens A there is another thin lens, lens B, with a focal length of 21.5 cm. The two lenses share a common axis and are 60.5 cm apart.

Is the image of the firefly that lens B forms real or virtual?

real

virtual

How far from lens B is this image located? Express the answer as a positive number.

image distance from lens B:__ cm

What is the height of this image? Express the answer as a positive number.

image height:__ mm

Is this image upright or inverted with respect to the firefly?

upright

inverted

Discuss all the different heads (including losses) in Bernoulli energy equation defining all terms with their units

A plane electromagnetic wave traveling in the positive direction of an x axis in vacuum has components Ex =Ey =0 and Ez =(2V/m)cos(3.14∗10^−15s^−1(t− x/c)). (a) What is the amplitude of the magnetic field component? (b) Parallel to which axis does the magnetic field oscillate? (c) When the electric field component is in the positive direction of the z axis at a certain point P, what is the direction of the magnetic field component there?

how to design linear PID controller via convex optimization?

(for first and second order system)

How can the gravitational potential energy of something be negative?

Give a step by step description of the physics and mathematics needed to calculate the trajectory of a water bottle rocket in three dimensions. In addition, if the location of the landing of a water bottle rocket could be controlled, what is the physics and mathematics needed to establish control? Consider the question in three dimensions.

Question #1.

The lateral surface area, S, of a cone is given by: ? = ?*SQRT(?^2 + ℎ^2) , where r is the radius of the base and h is the height. Determine the radius of a cone that has a surface area of 1200 m2 and a height of 20 m. Solve by using the bisection iteration method. Start with rl = 15 m, ru = 16 m and calculate the first four(4) iterations.

Question #2.

Determine the fourth (4) root of 200 by finding the numerical solution of the equation x4 - 200 = 0. Use False position method. Start with xl = 3, xu = 4 and carry out the first four(4) iterations.

I need a script using Matlab, Thank You.

When plugged into a standard outlet in the United States, a toaster oven uses 1600 W att of power (on average).

(a.) On a power (watt) vs. time (seconds) graph, plot the power used by the toaster oven. For full points, your graph must use every tick mark, must show two cycles and must label both the time and peak current values. Assume that t = 0 corresponds to a time when the power is at its maximum value.

(b.) What is the toaster oven’s resistance?

(c.) On a current (amps) vs. time (seconds) graph, plot the current used by the toaster oven. For full points, your graph must use every tick mark, must show two cycles and must label both the time and peak current values.