🏷️ LIMITED TIME OFFER: GET 20% OFF GRADE+ YEARLY SUBSCRIPTION →
Log in
Physics
1
answer
0
watching
110
views
12 Nov 2019

If you could please explain all the parts and provide solutionsso I can check with mine!! Thanks!

Some hints given :

the first part of the problem is just SHO. Partc) is a perfectly inelastic collision, but instead of a stationarytarget, the target has some initial speed, which you calculate in(b). You will need both target and bullet momentum to determine theinitial momentum of the system...In part d), you have a newomega (w), which is sqrt(k/newmass), assume that the time of impactis your new t=0, so you need to figure out A' and phi', which youcan do since you know v and x at t=0...


Watch
1
answer
0
watching
110
views

For unlimited access to Homework Help, a Homework+ subscription is required.

Irving Heathcote
Irving HeathcoteLv2
10 Sep 2019

Unlock all answers

Get 1 free homework help answer.
Already have an account? Log in
Share

Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

Desperately need help on this problem i have triedeverything!

A solar sail allows a spacecraft to use radiation pressure forpropulsion, similar to the way wind propels a sailboat. The sailsof such spacecraft are made out of enormous reflecting panels. Thearea of the panels is maximized to catch the largest number ofincident photons, thus maximizing the momentum transfer from theincident radiation.

For such spacecraft to work, the force from the radiation pressureexerted by the photons must be greater than the gravitationalattraction to the star emitting the photons. The critical parameteris the area density (mass per unit area) of the sail.

Consider a perfectly reflecting mirror oriented so that solarradiation of intensity I is incident upon, and perpendicular to,the reflective surface of the mirror. If the mirror has surfacearea A, what is F_rad, the magnitude of the average force due tothe radiation pressure of the sunlight on the mirror?
Express your answer in terms of the intensity I, the mirror'ssurface area A, and the speed of light c.

my answersreview part

To solve the second part of this problem you will need to know thefollowing:

* the mass of the sun, M_{\rm sun} = 2.0\times10^{30}\;{\rmkg},
* the intensity of sunlight as a function of the distance R fromthe sun,

I (sun)(R) = 3.2\times10^{25}\,\frac{1}{R^2}\;({\rm W/m^2}),
and
* the gravitational constant G = 6.67 \times 10^{-11}\; {\rmm^3}/({\rm kg}\cdot {\rm s^2})\;.

Part B
Suppose that the mirror described in Part A is initially at rest adistance R away from the sun. What is the critical value of areadensity for the mirror at which the radiation pressure exactlycancels out the gravitational attraction from the sun?

I found part A, but cannot find part B

 

Solar Sail
A solar sail allows a spacecraft to use radiation pressure for propulsion, similar to the way wind propels a sailboat. The sails of such spacecraft are made out of enormous reflecting panels. The area of the panels is maximized to catch the largest number of incident photons, thus maximizing the momentum transfer from the incident radiation.
For such spacecraft to work, the force from the radiation pressure exerted by the photons must be greater than the gravitational attraction to the star emitting the photons. The critical parameter is the area density (mass per unit area) of the sail.
Part A
  
Consider a perfectly reflecting mirror oriented so that solar radiation of intensity is incident upon, and perpendicular to, the reflective surface of the mirror. If the mirror has a surface area, what is the magnitude of the average force due to the radiation pressure of the sunlight on the mirror?
Express your answer in terms of the intensity, the mirror's surface area, and the speed of light.
ANSWER:
 
=
(2IA)/c
Correct
   
To solve the second part of this problem you will need to know the following:
  • the mass of the sun, M sun= 2.0 x 1030 kg,
  • the intensity of sunlight as a function of the distance from the sun,
Isun(R) = 3.2 x10251/R2 (W/m2)
and
  • the gravitational constant G=6.67 x10-11m3/(kg*s2)
Part B
  
Suppose that the mirror described in Part A is initiallyatrest a distance away from the sun. What is the critical valueofarea density for the mirror at which the radiation pressureexactlycancels out the gravitational attraction from the sun?
Express your answer numerically, to twosignificantfigures, in units of kilograms per metersquared.
ANSWER:
 
mass/area =
Answer not displayed
    
I'm having trouble figuring out how to slovepart B.Thanks!

Huygens' principle (first described by the Dutch scientist Christiaan Huygens in 1678) uses geometry to determine the shape of a wavefront at a time t, given some initial wavefront at an earlier time. This can be constructed by imagining that the initial wavefront is a source of wavelets that propagate from each point at the speed of light. From this principle, one can determine the angles of reflection and refraction by considering the speed of light at each point on the wavefront. In this problem, we will explore some of these concepts.

Part A

First, let's look at a plane wave that is incident on a flat piece of material with an index of refraction n. Part of the light is transmitted through the material and part of it is reflected. For the moment, let's just look at the part that is transmitted. At time t=0, the wavefront is a distance d away from the surface of the material. At time t=t1, the wavefront is at the position of the material interface. Use the Huygens' principle to determine how far into the material (d') the wavefront has propagated by time t=2t1.

Express your answer in terms of the variables n, t1, and the speed of light in a vacuum c.

Note that there would be no change in the direction of the wavefront at any point because the wavefront encountered the material interface at the same time at all points. Thus, all of the individual wavefronts all propagated at the same speed, thereby maintaining the flat wavefront.

Now, instead of having a flat wavefront propagating normal to the material interface, we have a flat wavefront propagating toward the material at an angle of 55° to the axis perpendicular to the material interface. In this part, we will look at the relative positions of a few points—A, B, and C—on the wavefront to illustrate Huygens' principle. (Intro 1 figure) Point C touches the vacuum/material interface at time t=0 whereas point B is a distance d and point A is a distance 2d away from the interface.

Part B

What is the time tB it will take for point B of the wavefront to encounter the vacuum/material interface?

Express your answer numerically to two decimal places in units of t1 (the time it takes light to travel a distance d in a vacuum).

It should be noted that the accuracy of the method increases the smaller the distance is before making a new wavefront and redoing the wavelets. If you tried to just draw a large wavelet from point B, then it would hit the surface after only traveling a distance d. This large wavelet would make it difficult to visualize how to add up all of the other wavelets to make a coherent wavefront. As a result, one should just draw a line perpendicular to the wavefront at point B until it hits the surface, at which point the wavelets will change owing to the new index of refraction.

 

Part C

How far did point C go into the material interface in the time t=tB that it took for point B to get to the interface? For this part we are looking for the distance traversed by the point C in the material (dC).

Give your answer in terms of the time tB, c, and n.

 

Part D

What is the new angle θ at which point C of the wavefront is propagating (relative to a line perpendicular to the vacuum/material interface)? Try to use the fact that you have a spherical wavefront propagating from t=0 at the point where C met the vacuum/material interface until time tB when the wavefront at point B reached the interface.

Express your answer in terms of inverse trigonometric functions and n.

 

Weekly leaderboard

Home
Homework Help 3,900,000
Physics 110,000
Start filling in the gaps now
Log in