Use the exact values you enter to make later calculations. The set up in the diagram below relates to a classic inclined plane problem that is typically solved using free body diagrams and Newton's Second Law of Motion. You will work through this inclined plane problem using Conservation of Mechanical Energy instead. You may ignore friction and assume that the system is initially at rest.

(a) If m1 falls down 3.0 m, what is the change in potential energy ?U1 of m1? Leave your answer in terms of m1 and g. Note: A positive answer indicates an increase in potential energy and a negative answer indicates a decrease in potential energy. (Assume any numerical value for height is in meters, but do not enter units.) ?U1 =

(b) Notice that the string connecting m1 and m2 does not stretch but remains taut. What is the corresponding change in potential energy ?U2 of m2? Leave your answer in terms of m2, g, and ?. Note: A positive answer indicates an increase in potential energy and a negative answer indicates a decrease in potential energy. (Assume any numerical value for height is in meters, but do not enter units.) ?U2 =

(c) Use m1 = 6 kg, m2 = 7 kg, and ? = 25°. Calculate the total change in potential energy ?Usystem of the system. Note: A positive answer indicates an increase in potential energy and a negative answer indicates a decrease in potential energy. ?Usystem =

(d) What is the total change in kinetic energy ?Ksystem of the system. Note: A positive answer indicates an increase in kinetic energy and a negative answer indicates a decrease in kinetic energy. ?Ksystem =

(e) What is the final velocity v of the system? v =

(f) What are the advantages in using Conservation of Energy to solve this problem instead of Newton's Second Law of Motion? (Select all that apply.) Conservation of Energy involves only scalar quantities. Conservation of Energy method does not require free body diagrams showing the force vectors. Using Conservation of Energy is simpler. Both methods have the same level of complexity. We have to find the components of the force vectors regardless of the method used.

Discuss the operation of and resulting electric fields from the Van der Graaff generator. Include in your answer an explanation of where the excess charge originates and how it is gathered to form a charge at the output. You should use diagrams to explain your answer and of the resulting electric field around the generator’s sphere.

Having data of two independent variables and a dependent variable, how do I plot a linear graph (trendline fit)? (Linear equation) Possible to use excel.

A.How many excess electrons must be distributed uniformly within the volume of an isolated plastic sphere 25.0 cm in diameter to produce an electric field of 1100 N/C just outside the surface of the sphere?

N=?

B.What is the electric field at a point 12.5 cm outside the surface of the sphere?

E=?

What is the objective, goal, abstract, and purpose of Inertial lab in physics report. And what would be the conclusion.

Planet Lex is four times as massive as the Earth and has a radius four times larger than the Earth's radius. Note: You do not have to express your answers in scientific notation.

Mass of the Earth = 5.97 x 10²⁴ kg

Radius of the Earth = 6.37 x 10⁶ m

a.

What is the value of the acceleration due to gravity (in m/s²) on the surface of this planet? Round off your answer up to two decimal digits.

b.

At what altitude, h, above the surface of the Earth (in meter) is the value of the acceleration due to gravity equal to that on the surface of Planet Lex? Round off your answer in two decimal digits.

c.

If a GPS satellite of mass 2000 kg is to be placed in a circular orbit at this altitude, h, from the Earth's surface, find the value of tangential speed (in m/s). Round off your answer up to two decimal digits.

d.

Find the period of rotation (in seconds) of the GPS satellite at this altitude, h, above the surface of Earth.

e.

Find the magnitude of the centripetal force (in Newton) exerted by the Earth on the GPS satellite at this altitude.

in the definition of radiative lifetime below. what do they mean by depopulation. do they mean for 1 given energy state the amount of time until the electron gives off enough photons to be at the lowest state? or just the electron moves down 1 state? or the lifetime of a collection of mass unti all electrons in that mass have reached the ground state?

The radiative lifetime of an excited electronic state e.g. in a laser gain medium is the lifetime which would be obtained if radiative decay via the unavoidable spontaneous emission were the only mechanism for depopulating this state. It is given by the equation

A hi-tech high-powered catapult is located at point A and is aimed at an angle of = 45 ° with the horizontal.

The projectile launched from the catapult is just able to clear the peak of the mountain at the top of its

trajectory. The elevation of the catapult is 423 m above sea level and the distance d is 4031 m.

Find the following:

(a) The velocity V₀ that the projectile leaves the catapult (in m/s),

(b) The time it takes the projectile to reach the peak of its trajectory (in seconds),

(c) The maximum height above sea level, h, the projectile reaches (in metres),

(d) The time it takes for the projectile to hit the water (in seconds), and

(e) The range, R, of the projectile (in metres).

This interesting activity examines the effect of weight upon terminal velocity. Gather together some nested coffee filters. Leaving them in their original shape, measure the time it takes for one, two, three, four, and five nested filters to fall to the floor from the same height (roughly 2 m). (Note that, due to the way the filters are nested, drag is constant and only mass varies.) They obtain terminal velocity quite quickly, so find this velocity as a function of mass. Plot the terminal velocity, v versus mass. Also plot  v-squared versus mass. Which of these relationships is more linear? What can you conclude from these graphs?

- An 80 kg man stands in a very strong wind moving at 13 m/s at torso height. As you know, he will need to lean in to the wind, and we can model the situation to see why. Assume that the man has a mass of 80 kg, with a center of gravity 1.0 mabove the ground. The action of the wind on his torso, which we approximate as a cylinder 50 cmwide and 90 cm long centered 1.2 m above the ground, produces a force that tries to tip him over backward. To keep from falling over, he must lean forward.

-Part A: What is the magnitude of the torque provided by the wind force? Take the pivot point at his feet. Assume that he is standing vertically. Assume that the air is at standard temperature and pressure. Express your answer with the appropriate units.

τ =

-Part B: At what angle to the vertical must the man lean to provide a gravitational torque that is equal to this torque due to the wind force?Express your answer in degrees.

θ =

Consider a long, thin, plastic cylindrical shell centered at the origin. It has a radius 2R and a linear charge density -3 λ .

b. Use Gauss's Law to find the electric field (mag and direction) at a distance x=3R from the origin.

Now a long line of charge (parallel to the axis of the cylinder) is added at a distance x=4R with linear charge density + λ .

c. use superposition to find the force (mag. and direction) on an electron placed at x=3R

A rectangular loop has 17 turns with sides w=.03m and l=.06m. The current is 9A. What is the force on each side and the torque on the loop if the external field is 0.5 T and is directed: (a) parallel to the plane of the loop (B1) (along the positive x-axis)? (b) normal to the plane of the loop (B2) (into the paper)?

Use the exact values you enter to make later calculations. Part A A group of students performed the same "Ohm's Law" experiment that you did in class. They obtained the following results: Trial ΔV (volts) I (mA) 1 1.00 4.4 2 1.90 8.4 3 3.10 13.3 4 3.90 16.8 5 5.10 22.2 where ΔV is the voltage difference across the resistor and I is the current traveling through the resistor at the same time. (a) Analyze the data. (You will not submit this spreadsheet. However, the results will be needed later in this problem.) (i) Enter the above data into an Excel spreadsheet. (ii) Make a plot of the voltage difference vs. current. Hint (iii) Use the trendline option in Excel to fit the data of voltage difference versus current to get the slope and intercept. Hint (b) Determine the slope and y-intercept of your graph, and report these values below. (Use ohm for Ω.) slope = y-intercept = Part B Your mischievous lab partner takes the resistor that you just experimented with and assembles it in a network with one other resistor and places them inside a black box. He challenges you to tell him the configuration of the resistors inside the box. Being an industrious physics student you connect the leads of the black box to your power source, voltmeter (in parallel), and ammeter (in series) and take the following simultaneous measurements. ΔV (volts) I (mA) 4.28 11.5 Use the above measurements to find the equivalent resistance of the arrangement. (Use ohm for Ω.) Req = Based on your value of the equivalent resistance, what must the arrangement be? in series in parallel Part C Now that you've answered his challenge, your lab partner asks you to give the resistance of the resistor that he added to the one you experimented with. Using the information you obtained in parts A and B, predict this value of the resistance of the second resistor.

two particles having charges q1=0.500nC and q2 8.00nC are separated by a distance of 1.20m. at what point along the line connecting the two charges is the total electric field due to the two charges equal zero?

THIS IS ASTR 100

1. The latitude of Seattle is 47 degrees north. How many degrees above the north point of the horizon is the north celestial pole as seen from Seattle?

2. Circumpolar stars circle around the north celestial pole [clockwise, counterclockwise]

3. The Earth rotates from [west to east, east to west].

4. If you travel south, Polaris would get [higher, lower] in the sky.

5. Where on Earth could you see all the constellations rise and set?

6. Astronomers measure distances across the sky in [inches, meters, angles]

7. According to the Universe Bowl (See page 6), on the time scale civilization began about [1 yard, 1 foot, less than 1 inch] from the other goal line.