In the shot put, a heavy lead weight—the "shot"—is given an initial velocity, starting from an initial elevation approximately equal to the shot putter's height, say, 1.96 m. If v₀ = 8.70 m/s, find the horizontal distance traveled by the shot for the following initial angles above the horizontal.

(a) θ₀ = 0°


(b) θ₀ = 40.0°


(c) θ₀ = 45.0°

The mass of the nuclide 16/8O is 15.995u .

A) What is the total binding energy for this nucleus?

Eb =     MeV  

B) Determine its average binding energy per nucleon.

Eb/A= Mev/nucleon

Coulumb's law for the magnitude of the force F between two particles with charges Q and Q' separated by a distance d is

F=K * qq'/d^2    where K= 1/4pie e0 and e0= 8.854*10^-12/ (N*m^2) is the permittivity of free space.

Consider two point charges located on the x axis: one charge,

q1 = -16.0nC , is located atx1 = -1.700m ; the second charge, q2 = 38.5nC ,is at the origin (x=0.0000).

question 6) A 501.0-nm light source illuminates two slits with a separation of 6.00 ✕ 10⁻⁴ m, forming an interference pattern on a screen placed 4.30 m away from the slits. At a point a distance of 3.85 mm from the central maximum, what are the following?

(b) the intensity compared to that of the central maximum

Question 7) In a Young's double-slit experiment, 610-nm-wavelength light is sent through the slits. The intensity at an angle of 2.80° from the central bright fringe is 85% of the maximum intensity on the screen. What is the spacing between the slits?

Question 6 part b and question 7

A 0.47 kg banana is thrown directly upward with an initial speed of 4.3 m/s and reaches a maximum height of 0.90 m. What change does air drag cause in the mechanical energy of the banana–Earth system during the ascent?

A wire has a resistivity of 6.80 x 10-8 ohm . meter when the temperature is 75.0 degrees Farenheit. If the temperature coefficient of resistivity of the material that the wire is made from is 5.0 x 10-3 (1/Kelvin), what will be the resistivity of the wire when it is cooled to 45.0 degrees Farenheit? Note: before working this problem you must convert the temperature from the Farenheit temperature scale to the Kelvin scale. Give your answer in the form "a.bc" x 10-8 Ω.m.

(2) A heating element is made by maintaining a potential difference of 13.5 V along the length of a certain wire with a 6.80 x 10^-6 m² cross section area and a resistivity of 4.68 x 10^-6 ohm.m. If the element dissipates 5.0 W, what is its length? Put your answer in the form of "a.bc x 10^(x) m"

(3)a potential difference of 12.8 V is maintained between the ends of a 1500 cm length of wire whose diameter is 0.56 mm. The conductivity of the wire is 4.80 x 10⁷(ohm.m)^-1. Determine the rate at which energy in the wire is transformed from kinetic to thermal energy. Give your answer in the form "a.bc x 10^(x) unit".

(4)A current of 126 mA exists in a wire for 5.60 minutes. What is the rate that charge passes a point in the wire? Give your answer in the form "a.bc x 10^(x)" C/s. Continuing the previous question, what is the rate of electrons passing through a cross section perpendicular to the wire's axis? Give your answer in the form "a.bc x 10^(x)" electrons/second. Assume that the charge moves in a straight line from one end of the wire to the other, how many electrons are moved through the cross section during 38.0 ms? Give your answer in the form "a.bc x 10^(x)" electrons

(5) An electrical current of 8.50 mA exists in a solid cylindrical wire whose diameter is 1.50 mm. Calculate the magnitude of the current density in the wire. Put your answer in the form of "a.bc x 10^(x)" A/m².  Assume that electrons are the charge carriers and the conduction electron density is 8.55 x 10²⁹/m³. (Note that this is the charge carrier density and could also be stated as 8.55 x 10²⁹ charge carriers/m³ or electrons/m³.) Calculate the electron drift speed in the wire. Put your answer in the form of "a.bc x 10^(x) m/s".

(6.)A wire with a resistance of 6.80 mΩ is drawn out through a die so that its new length is 4 times its original length. Find the resistance of the longer wire, assuming that the resistivity and density of the material are not changed during the drawing process. Put your answer in the form of "a.bc x 10^(x) ohm".

A plane electromagnetic wave, with wavelength 3.5 m, travels in vacuum in the positive direction of an x axis. The electric field, of amplitude 440 V/m, oscillates parallel to the y axis. What are the (a) frequency, (b) angular frequency, and (c) angular wave number of the wave? (d) What is the amplitude of the magnetic field component? (e) Parallel to which axis does the magnetic field oscillate? (f) What is the time-averaged rate of energy flow associated with this wave? The wave uniformly illuminates a surface of area 2.3 m2. If the surface totally absorbs the wave, what are (g) the rate at which momentum is transferred to the surface and (h) the radiation pressure?

The drawing shows a square, each side of which has a length of L = 0.250 m. Two different positive charges q1 and q2 are fixed at the corners of the square. Find the electric potential energy of a third charge q3 = -4.00 x 10-9 C placed at corner A and then at corner B.

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1. A Capacitor is discharging through a resistor. When the capacitor has lost a quarter of its charge, the voltage across the resistor is:
A) greater than the voltage across the capacitor.
B) equal to the voltage across the capacitor.
C) Zaro.
D) equal to the sum of the voltages across the battery and the capacitor.
E) less than the voltage across the capacitor, but greater than zero.
2. An air-FIlled parallel-plate capacitor is connected to a battery and allowed to charge up, and then disconnected from the battery. A slab of dielectric material is placed between the plates of the capacitor. After this is done, we find that:
A) the voltage across the capacitor has decreased.
B) the charge on the capacitor has decreased.
C) the charge on the capacitor has increased.
D) the voltage across the capacitor has increased.
E) the energy stored in the capacitor has increased.
I thought Second question answer was E.

Explain in detail, please!

Discuss how the size of details of an object that can be detected with electromagnetic waves is related to the wavelength of the EM wave, by comparing details observable with two different types (for example, radar and visible light or infrared and X-rays).  Would an individual atom be observable by the human eye using a powerful optical microscope (one that uses visible light)? Why don

The best laboratory vacuum has a pressure of about 1.00 x 10-18 atm, or 1.01 x 10-13 Pa. How many gas molecules are in 8.57 cm3 in such a vacuum at 298 K?

A 100g ball is tied to a string so that the center its mass hangs 60 cm below the point where the string is tied to a support rod. The ball is pulled aside to a 70° angle with vertical and released. As the string approaches vertical, it encounters a peg at a distance x below the support rod. The string then bends around the peg. If the position of the peg is low enough, the ball will move in a circle wrapping the string around the peg. a. Draw a FBD for the ball. Starting from the definition of work W=F d cos, demonstrate and explain the work done by each of the force on your FBD. b. What is the work done by nonconservative force? What can you say about the total mechanical energy for the ball as it swing and rotate around the support rod and peg. c. What is the smallest value of x for which the ball will move in a circle wrapping the string around the peg? Note: to answer the last question c, first explain what happen to the mechanical energy, gravitational potential energy, kinetic energy, speed, and centripetal force of the ball as you decrease x. Then predict what will happen to the mechanical energy, gravitational potential energy, kinetic energy, speed, and centripetal force when x reaches its minimum value. Set up a mathematical equation that satisfy the condition for minimum x and solve it based on the conditions provided.

A 50.0-g Super Ball traveling at 30.0 m/s bounces off a brick wall and rebounds at 21.0 m/s. A high-speed camera records this event. If the ball is in contact with the wall for 3.05 ms, what is the magnitude of the average acceleration of the ball during this time interval?

A jet plane lands with a speed of 91 m/s and can accelerate at a maximum rate of −5.80 m/s² as it comes to rest. From the instant the plane touches the runway, what is the minimum time needed before it can come to rest?

A tennis player tosses a tennis ball straight up and then catches it after 2.00 s at the same height as the point of release.

(a) what is the acceleration of the ball while it is in flight?

(b) what is the velocity of the ball when it reaches its maximum height?

(c) the initial velocity of the ball and

(d) the maximum height it reaches

Two manned satellites approaching one another at a relative speed of 0.400 m/s intend to dock. The first has a mass of 2.50 ✕ 10³ kg, and the second a mass of 7.50 ✕ 10³ kg. Assume that the positive direction is directed from the second satellite towards the first satellite.

(a) Calculate the final velocity after docking, in the frame of reference in which the first satellite was originally at rest..(m/s)

(b) What is the loss of kinetic energy in this inelastic collision?

(c) Repeat both parts, in the frame of reference in which the second satellite was originally at rest.
final velocity (m/s) and loss of kinetic energy (J).

(d) Explain why the change in velocity is different in the two frames, whereas the change in kinetic energy is the same in both.

What is the difference between a photo-interrupter and an opto-isolator?