1. Explain in which cases the mass determination method is used:

(a) through the interaction of bodies

(b) by means of the balance.

2. What does it mean that the mass of a body has the additive property?

1. You watch your toddler nephew rolling marbles toward the top of a staircase. There are 18 steps, each 30.0 cm deep horizontally, and separated by 20.0 cm vertically. The marbles leave the upper landing horizontally and are projected into the air, bouncing down the steps until they arrive at the lower floor.

(a)Suppose the marble is projected with a speed such that it lands on the ninth step and bounces upward at the same angle at which it struck the step, at the same speed. Argue that the marble will not hit another step before striking the floor of the lower landing.

2. If you know the position vectors of a particle at two points along its path and also know the time it took to get from one point to the other, can you determine the particle's instantaneous velocity and average velocity? Explain.

A ball is shot up from a surface that is 20 m above the surface with an initial speed of 10 m/s.

1. What is the magnitude of the ball's displacement from the surface after 3.00 second has elapsed?

2. What max height will the ball reach from the surface of the earth?

3. How much time elapses between the throwing of the ball and its reaching to the earth?

4. Calculate the magnitude of the velocity of the ball after 3 seconds of throwing the ball.

True or False : When a metal washer is heated the hole will expand.

Explain the validation of Newton’s laws in an inertial framework by bringing examples of absolute and relative movements.

Two particles having charges of 0.480nC and 7.68nC are separated by a distance of 1.70m .

A: At what point along the line connecting the two charges is the net electric field due to the two charges equal to zero?

B: Where would the net electric field be zero if one of the charges were negative? Enter your answer as a distance from the charge initially equal 0.480nC

A star near the visible edge of a galaxy travels in a uniform circular orbit. It is 48,400 ly (light-years) from the galactic center and has a speed of 275 km/s.

a)  Estimate the total mass of the galaxy (billion solar mass) based on the motion of the star. Gravitational constant is 6.674×10⁻¹¹ m³/(kg·s²) and mass of the Sun M_s=1.99 × 10³⁰ kg.

b)  The total visible mass (i.e., matter we can detect via electromagnetic radiation) of the galaxy is 10¹¹ solar masses. What fraction of the total mass of the galaxy is visible, according to this estimate?

1) a) Compare pin photodiode with pn junction photodiode. Please write one application best for each pin and pn photodiode with a reason.

b) For a photodiode of depletion layer 20 micrometer and relative dielectric constant 4 and area of 0.005 mm2 calculate the depletion layer capacitance and time constant for 50 ohm resistor.

Please answer all questions, thank you in advance!

A) What is the lowest possible energy (in electron volts) of an electron in hydrogen if its orbital angular momentum is ?2 h-bar? Express your answer in electronvolts to three significant figures.

B) What is the largest value of the z component of the orbital angular momentum (in terms of h-bar) for the electron in part A? Express your answer as an integer to one significant figure.

C) What is the smallest value of the z component of the orbital angular momentum (in terms of h-bar) for the electron in part A? Express your answer as an integer to one significant figure.

D) What is the largest value of the spin angular momentum (in terms of h-bar) for the electron in part A? Express your answer using three significant figures.

E) What is the smallest value of the spin angular momentum (in terms of h-bar) for the electron in part A? Express your answer using three significant figures.

An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 0.280 rev/s . The magnitude of the angular acceleration is 0.895 rev/s2 . Both the the angular velocity and angular accleration are directed counterclockwise. The electric ceiling fan blades form a circle of diameter 0.800 m .

A) compute the fan's angular velocity magnitude after time 0.202 s has passed.

B)Through how many revolutions has the blade turned in the time interval 0.202 s from Part A?

C)What is the tangential speed vt of a point on the tip of the blade at time t = 0.202 s ?

D) Calculate the magnitude at of the tangential acceleration of a point on the tip of the blade at time t= 0.202 s .

E) Calculate the magnitude ar of the radial (or centripetal) acceleration of the point at the end of the fan blade.

The nuclide 236U decays with emission of an alpha particle with measured energy of 4.448 MeV and an accompanying gamma photon with measured energy of 49 keV. What is the product nucleus and does this particular decay of 236U occur to the ground state or and excited state of the product nuclide?

how to Design'the'Fabrication'Process'of' Piezoresistive'Si'Microcantilever ?

A graduated cylinder filled with water rests upside down in a container of water at 0 C. The water is 7.00 cm deep. Attached to the base of the cylinder is a small ring (but since the cylinder is upside down, the ring is at the highest elevation, available for grabbing). The base of the cylinder has mass 10.0 grams with ring included. The cylinder itself has radius 3.00 cm, height 40.0 cm, and mass 100.0 grams (including the base and ring). Bridgette has a scale that can read hanging weight (but, as so often happens, reads in grams instead of Newtons). She hooks the scale to the ring on the bottom of the cylinder and lifts, so that the base of the cylinder lifts 5.00 cm, but the other end of the cylinder remains beneath the surface of the water. She is amazed that the cylinder remains full of water, seemingly all the way to the base. What is the reading on the scale? (The mass density of the cylindrical part of the graduated cylinder is 1.00 grams per cm3.)

The summer solstice in the southern hemisphere occurs on or about

Group of answer choices

June 21

March 21

September 21

July 4

December 21

n the H-R diagram, the vertical and horizontal axes are respectively

Group of answer choices

luminosity and temperature

luminosity and mass

color and brightness

spectral type and apparent magnitude

An asteroid is located between Mars and Jupiter. The semi-major axis of the asteroid’s orbit around the Sun is 3 AU. The period of the asteroid’s orbit is about ___________ years.

Group of answer choices

5.8

One of the most difficult problems for ancient astronomers to explain was the  

Group of answer choices

retrograde motion of the planets

eclipses of the Sun

annual motion of the Sun

phases of the Moon

cause of the seasons

One of the most difficult problems for ancient astronomers to explain was the  

Group of answer choices

retrograde motion of the planets

eclipses of the Sun

annual motion of the Sun

phases of the Moon

cause of the seasons

Which of the following is the first discovered Black Hole?

Group of answer choices

NGC 1921

Cygnus X-1

M 31

LGM

The force which was the first to split off from the “mother” force after the Big Bang is

Group of answer choices

the Weak Nuclear force

the EM force

the Strong Nuclear force

the force of Gravity

The period of time when the universe experienced a rapid inflation was when?

Group of answer choices

1-3 seconds

10^-35 --> 10^-32 sec

1-3 minutes

10^-43 --> 10^-35 sec

A large galaxy contains mostly old (Pop 2) stars spread smoothly throughout its volume, but it has little dust or gas. What type of galaxy is it most likely to be?

Group of answer choices

Elliptical

Spiral

Irregular

Barred Spiral

7.8

5.2

12.6

3.3

Which of the following statements about the Earth is incorrect?

Group of answer choices

its crust is divided into huge plates that jostle each other in a phenomenon called plate tectonics

it has an iron core

it has an average density of 4 gram per centimeter cubed

its atmosphere consists primarily of nitrogen and oxygen