0000004777 00000 n Found inside – Page 180A key example of the utility of the light-front is the Drell-Yan West formula” for the spacelike form factors of electromagnetic currents given as overlaps ... As you enter the specific factors of each conservation of momentum in 1 d calculation, the Conservation Of Momentum In 1 D Calculator will automatically calculate the results and update the Physics formula elements with each element of the conservation of momentum in 1 d … The direction of the momentum vector is the same as the direction of the velocity of the ball. It is not enough to say that the ball has 10 kg•m/s of momentum; the momentum of the ball is not fully described until information about its direction is given. Example Calculate the momentum of the give objects. What is the change (magnitude and direction) in the linear momentum … The term ( OQsin θ ) is the perpendicular distance (d) between the origin and line along which the mass is moving. Understand the basic principle, the equation of conservation of linear momentum, and its application with examples. The calculator can use any two of the values to calculate the third. 250 0 obj <>stream Impulse is directly related to momentum because impulse is a term describing an object's change in momentum. Solution for (a) Found insideFor example, we could have begun with time dilation (for which there is ample ... formula,” but instead “tests of relativistic momentum conservation. or momentum of an object in an explosion or collision. 0000009425 00000 n But this momentum always depending on the mass and velocity of the body. endstream endobj 237 0 obj <>stream Found inside – Page 221We present a method to construct symplecticmomentum integrators for Lagrangian ... The resulting discrete equations define a generally implicit numerical ... 4. Following the formula p=mv{\displaystyle p=mv}, plug in the mass and the velocity. In a previous unit, it was said that the direction of the velocity vector is the same as the direction that an object is moving. It relates the particle’s final velocity, v 2, and initial velocity (v 1) and the forces acting on the particle as a function of time. Formula – P= kg x m/s = 12.05kg x 8m/s Updated: 09/20/2021 Table of Contents 9�@���r��!� ��f�>Bo�4 ����Z�)xjO����<5����S��x b. Notice that because the masses joined together, equation 3 was not needed. v = p / m. Where, m is the mass of the object. Linear momentum formula is given by, P = mv. 0000010085 00000 n Another section of your book talks about linear (mv G) and angular (I Gω) momentum of rigid bodies. Formula. The second conservation equation we have to consider in the control volume is the momentum formula. Angular momentum has the symbol L, and is given by the equation: Angular momentum is also a vector, pointing in the direction of the angular velocity. Momentum (p) = mass (m) * velocity (v) Velocity is a vector quantity, meaning it has direction. average force. A semi-truck full of logs has a large mass and must slow down long before a stop light because even with a small velocity, it has a large momentum and is difficult to stop. Wherever there is collision, the conservation principle is at work. Found inside – Page 45As an example of the use of the recurrence formula (3.27), consider the casej2 = 1 and J = jl + 1, i.e., the top row of the matrix forj2 = 1. A sports team that is on the move has the momentum. Found inside – Page 24Linear momentum of a particle is denoted by ' p ' and that of a system of ... g cm s or dyne second Dimensional formula P = mx v = dimensional formula of P ... That sequence V is the one plotted yellow above. To conserve linear momentum, i.e. Thus, the halfback is three times as fast (vhalfback = 9 m/s). The text has been developed to meet the scope and sequence of most university physics courses and provides a foundation for a career in mathematics, science, or engineering. H��T�j1��+tlQ��-Byz�`���Ph����_m�[g�uR�aFci$��T�0zm��C-:��F���MQ$�Є_�4F�0�L ���P��G�<86h9¬���� ��n����j�VϠVY�s�` �ES���믔. Examples of conservation of linear momentum abound in everyday life. Momentum and force. N s (Newton second) They are the same! 0000004289 00000 n The momentum optimizer uses this same equation when optimizing a loss function. 0000004818 00000 n 0000006116 00000 n Found inside – Page 78EXAMPLE 2 What force would be needed to produce an acceleration of 4 m / s ? on a ball of mass 6 kg ? ... By using the formula Momentum = Mass Velocity : . Momentum (p) = mass (m) * velocity (v) Velocity is a vector quantity, meaning it has direction. In physics, the symbol for the quantity momentum is the lower case p. Thus, the above equation can be rewritten as. The most common example is the gravity force, along the gravitational acceleration vector ~g. Let p1 be the momentum of the two balls before collision. In example 6.1 relationship between momentum of maximum velocity to average velocity was presented. c. 40-kg freshman moving southward at 2 m/s. It is a vector quantity, which indicates angular momentum has both the magnitude, as well as the direction. 2. Solution: Given parameters are, m = 5 kg. This text blends traditional introductory physics topics with an emphasis on human applications and an expanded coverage of modern physics topics, such as the existence of atoms and the conversion of mass into energy. Momentum is directly proportional to the object's mass and also its velocity. Thus the greater an object's mass or the greater its velocity, the greater its momentum. Also, how do you find the magnitude of momentum? Divide the magnitude of the external force on the object by the object's mass. As this suggests the unit for measuring impulse is N (Newton)s (seconds) A formula for finding impulse is shown and explained below. From this equation, we can say that the greater the impulse is, the greater the change in momentum will be. Momentum is a vector. Example 2: Derive a formula that can be used to estimate the mass of a handgun required to keep its recoil within acceptable limits. A team that has a lot of momentum is really on the move and is going to be hard to stop. Objects at rest do not have momentum - they do not have any "mass in motion." Found inside – Page 291The reflection of a light pulse from a perfectly conducting mirror, for example, results in a reversal of the momentum of the light pulse. Taking the direction to the right on this digram to be positive, Then, Example 2. �M��@J��1P���$��������7@� o� F = ma. One was initially moving at 2.2 m/s; the other was at rest. Found inside – Page 33... or to a benchmark - for example , comparing an individual stock to the Dow Jones Industrial Average . Calculation The RSI calculation creates a momentum ... 0000059778 00000 n If an object is in motion (on the move) then it has momentum. ��4�>a����6�w�������! impulse-momentum theorem, and in words can be stated “a force acting on a mass during a time causes the mass to change its momentum”. ��Z��Q+�cW�vG��+�]��vG����n�1ǎYV³�"O���Sd)�Y�. ��&�!z��79,�~ ��~vË�� ���Z��"��9o�BA��*�` �R endstream endobj 694 0 obj << /Type /FontDescriptor /Ascent 891 /CapHeight 656 /Descent -216 /Flags 98 /FontBBox [ -547 -307 1206 1032 ] /FontName /KMEKJK+TimesNewRoman,BoldItalic /ItalicAngle -15 /StemV 133 /FontFile2 716 0 R >> endobj 695 0 obj << /Type /Font /Subtype /TrueType /FirstChar 32 /LastChar 121 /Widths [ 250 0 0 0 0 0 0 0 0 0 0 0 250 0 0 0 500 0 0 500 500 500 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 667 0 0 0 0 0 0 611 0 0 0 611 0 0 0 611 0 0 0 0 0 0 333 0 333 0 0 0 500 0 0 500 444 0 0 556 278 0 0 278 778 556 500 500 0 389 389 278 556 0 0 0 444 ] /Encoding /WinAnsiEncoding /BaseFont /KMEKJK+TimesNewRoman,BoldItalic /FontDescriptor 694 0 R >> endobj 696 0 obj 374 endobj 697 0 obj << /Filter /FlateDecode /Length 696 0 R >> stream Momentum Formula. The velocity changes from 0 m/s to 10 m/s while the momentum changes from 0 kg-m/s to 20 kg-m/s. 5. Multiply the mass by the velocity. That is the momentum! The measurement for momentum is kg*m/s. For example, when the mass of an object is 4kg{... linear momentum (mv) of particles only. Found inside – Page 5The TSI formula is given in Figure 2-2 . It deals with a quantity called momentum , which is further explained in Figures 2-3 and 2-4 . Calculating momentum changes - Solved example. Example Two cars are stationary at the beginning. We can use these formulas to show that /\ p (Impulse)=Ft. ��1�A��k�o Momentum, product of the mass of a particle and its velocity.Momentum is a vector quantity; i.e., it has both magnitude and direction. The propeller can be stationary like in cooling tours, fan etc. momentum = 5 × 2 = 10 kg m/s. The student is introduced to momentum and guided through the example problems. h�I]�_���o��I�u-�s��� i3�-�a*�f��!iY�:� Momentum can be defined as "mass in motion." Formula: Mathematically it is given by, While the previous examples were one-dimensional, the exploding bomb generally involves conservation of momentum in more than one spatial dimension simultaneously. Momentum is a vector, pointing in the same direction as the velocity. Solved Example Problems for Angular Momentum. What are the givens and unknowns? Found inside – Page 103-4-4-4-4-4 We can write the Piola Identity, derived in the above example, ... localized forms of the balance of momentum principle (equilibrium equations) . In the example at the left, the mass is kept constant at a value of 2.0 kg. We will take the energy E found in Example 29.4. Intro to optimization in deep learning: Momentum, RMSProp and … Stochastic Momentum Index Settings. Found inside – Page 180A key example of the utility of the light-front is the Drell-Yan West formula” for the spacelike form factors of electromagnetic currents given as overlaps ... A quadrupling in velocity results in a quadrupling of the momentum. In this case, you would need to use Newton’s second law expressed in terms of momentum to account for the changing mass. Momentum Equation Applied to Propellers. Since this is a vector equation, it must be satisfied for each component independently. Momentum is the product of mass and velocity. Conservation of momentum, which still applies in Special Relativity, implies that each component of momentum is conserved. Momentum of ball A: pA = mass × velocity = 0.1 × 10 = 1 Kg.m/s. They stick together. "BY�L�Μ '!\;M..�e� The momentum equation is a statement of Newton’s Second Law and relates the sum of the forces acting on an element of fluid to its acceleration or rate of change of momentum. B. Solution. 243 0 obj <>/Filter/FlateDecode/ID[]/Index[232 19]/Info 231 0 R/Length 67/Prev 1331664/Root 233 0 R/Size 251/Type/XRef/W[1 2 1]>>stream In other words, if an object changes speed, then its momentum changes. For a particle of mass m and velocity v, the momentum p is m v. Momentum is a vector because velocity is a vector and mass a scalar. Momentum is the product of mass and velocity. In technical analysis , momentum is considered an oscillator and is used to help identify trend lines. factors. UKL"��|����@�[z��C���F�i8^ n��7 ���ꪝL�~��##�,t���)���YQ��bM�,�m���2����64�����է�fI�m^��jS�hچ��,]v!f��b��{��qR&y����Qᡁ��꾆���u���l�mE{8��aS4��p���m�W�s�>�veآz6c�e�a>��w�ˣ�;��سA���Ӈo-*�\��jē&z癷�e�Ͳ$��{)%�/�����:�;�XUxmT&�W Unit of the momentum is kg.m/s as you can guess from the equation. %PDF-1.5 %���� In relativistic mechanics, the quantity pc is often used in momentum discussions. Found insideThe book is useful for undergraduate students majoring in physics and other science and engineering disciplines. It can also be used as a reference for more advanced levels. The initial velocity of the car was vi = ¡15 m/s to the left, and the flnal velocity was vf = +2:6 m/s to the right. 4 k g {\displaystyle 4kg} and its velocity is. The each have the same amount of momentum - 540 kg*m/s. r282�{�5�%�#���am�O���)xZO���i�];OG�Bv�v֊��Z�vX+�k��a���7�H$LW�� � ��a�g�Ћ��O/�t�t�O/B/�^�����zҙ�3��c�t��L�Ӟ;�4hP�ȧ��S��)���|�|J�@>%_ ��/�O�ȧ��[aV`�&m�Y1����H �Z�����ϫa�__ۦ�ô�ҒK�f�2M��`���U��W� ø1� The second conservation equation we have to consider in the control volume is the momentum formula. 0000002149 00000 n Here we will see the Linear Momentum Formula with some examples. 3. Find the velocity. Velocity is the speed and the direction that the object travels. Right now, we will only concentrate on the speed part. (Whil... Examples. endstream endobj startxref Found inside – Page 51We would also like to know, for instance, the momentum, the angular momentum, ... On the other hand, implicit in our use of Schr ̈odinger's equation as the ... A particle of mass (m) is moving with constant velocity (v). To fully describe the momentum of a 5-kg bowling ball moving westward at 2 m/s, you must include information about both the magnitude and the direction of the bowling ball. Explain. A. p = 40 000 units (doubling the velocity will double the momentum), B. p = 60 000 units (tripling the velocity will triple the momentum), C. p = 40 000 units (doubling the mass will double the momentum), D. p = 80 000 units (doubling the velocity will double the momentum and doubling the mass will also double the momentum; the combined result is that the momentum is doubled twice -quadrupled). 0000008853 00000 n The halfback travels three times the distance of the lineman in the same amount of time. Some examples of these types of forces include struts, bolts, cables, ropes in tension, forces holding a control volume in place, etc. 0000002582 00000 n Many times it is used for propulsion purposes of airplanes, ships and other devices (thrust) as shown in Figure 6.4. All objects have mass; so if an object is moving, then it has momentum - it has its mass in motion. The Story of a Widow is a beautifully observant novel, one that pays careful attention to the delicate movements of the heart in romantic and family life. As a vector quantity, the momentum of an object is fully described by both magnitude and direction. p = mv p = mv size 12{p= ital "mv"} {} 8.3. when only magnitudes are considered. Click the button to view the answers. This creates a straight line graph when momentum is plotted as a function of velocity. Examples of Law of Conservation of Momentum. ]�=t�����a���6��eu �O�����i�4xZ��u In terms of an equation, the momentum of an object is equal to the mass of the object times the velocity of the object. In the simplest form the momentum formula can be represented by following equation: – Choosing a Control Volume. The units for momentum would be mass units times velocity units. Along with values, enter the known units of measure for each and this calculator will convert among units. Most of the time, the momentum indicator is shown as a single line in a different section of a chart than where you see the price line or bars. A 4.88-kg object that has a speed of 3.14 m/s strikes a plate of steel at an angle of 42.0º and rebounds at the similar speed and angle as shown in the figure below. Beta is another hyper-parameter which takes values from 0 to one. Found inside – Page 643... is transient solution in Example 13.2 Constant in integral formula in ... lbm ft - 15-1 , CP ) Kinematic viscosity ( momentum diffusivity ) ( m ? What is their final speed? A halfback (m = 60 kg), a tight end (m = 90 kg), and a lineman (m = 120 kg) are running down the football field. This section explains how to calculate the force involved in changing the momentum of an object. Found inside – Page 10-44Answer Using the formula for momentum change: EXAMPLE. A ball of mass 0.1 kg hits the ground with a velocity of 6 m s–1 and bounces back with a velocity of ... We use conservation of momentum to find the change in momentum and using the impulse momentum equation we find force that block apply to bullet. Momentum and Its Conservation - Lesson 1 - The Impulse-Momentum Change Theorem. Formula of momentum is P = mv; A moving object always possess momentum (no matter how the speed of the object) is equal to the product of mass and velocity. rewrite this momentum definition as follows: Recall that momentum is a vector quantity. The population momentum is calculated by dividing this final total population number by the starting population. The size of this vector is equal to the value of the mass times the velocity. Intro to momentum (& it's meaning) Newton's second law & momentum. Created by Mahesh Shenoy. We can use algebra to rearrange the momentum equation. h�ēKo�@ǿ�Uh�KR��ZŴ����� �dl��|��,��MEr���av��g�'�"���`�! %PDF-1.3 %���� 5. Found insideThis gives rise to a generation term in the differential equation(s) ... For example, for an irreversible second-order reaction (for this example we have ... Momentum is calculated by multiplying the mass and velocity together. 0000007110 00000 n © 1996-2021 The Physics Classroom, All rights reserved. Linear momentum is much common due to simple linear motion. For example, when the mass of an object is. �3�,. As a result, the momentum of an object is also a vector quantity because it’s the product of velocity and mass. Both before and after collision total momentum equals 0, so momentum is conserved. p = m v. p = 1500 kg × 28 m/s. Lecture 10: Potential Energy, Momentum and Collisions 5 Example of Impulse and Momentum Calculations In a crash test, an automobile of mass 1500 kg collides with a wall. The change of momentum will have two parts, momentum inside the … In terms of an equation, the momentum of an object is equal to the mass of the object times the velocity of the object. Sample Problems with Solutions. Momentum of ball B: pB = mass × velocity = 0.7 × 0 = 0 Kg.m/s. Momentum, Ω, can be expressed as: Ω = ( b e o ) Q {\displaystyle \Omega = (be_ {o})Q} In this equation, b is the crude birth rate while eo is the life expectancy at birth. Maxwell predicted that an electromagnetic wave carries momentum. By using this website, you agree to our use of cookies. The tight end travels twice the distance of the lineman in the same amount of time. For example, A moving cricket ball before hits has less momentum then after hits by the batsman. Here is a worked example: Two railway carriages collide and move off together. A basketball ball having 2kg mass and 6m/s velocity moves to the east. Found inside – Page 355ExamplE 11.12 (continued) Solution According to equation 11.39, the values of the angular ... A few comments are necessary about the angular momentum. In the second equation (2), P~ is defined as the instantaneous momentum inside the control volume. Found inside – Page 225(10.6) Therefore, in Equation 10.5 the combination r cos 6 can be replaced by b to ... (10.7) With respect to the fixed point P, the angular momentum of the ... Can know how to calculate the momentum of photon formula to find magnitude. A worked example: two railway carriages collide and move off together the following questions 2-3... Have to consider in the simplest form the momentum of an object is moving westward, its! What momentum is the lower case p. thus, the symbol for quantity. Analysis, momentum is on the move ) then it has direction and v is the gravity force along... When there is a vector quantity and is used to increase the fluid momentum moving at 2.2 ;! I ) + m2v2 ( i ) = mass velocity: the impulse-momentum change equation a benchmark for. The amount of matter in an earlier unit, a simple moving average of Mack... = ma which is used in momentum P~ is defined as the impulse-momentum change Theorem unit. Considerably greater mass of loaded cart is 1.0 kg and its application with examples insideThe book is useful undergraduate! Formula p=mv { \displaystyle p=mv }, plug in the previous lecture expressing the rate of of! Related to momentum because impulse is a commonly used term in sports x m/s = 12.05kg x 8m/s equation! = 9 m/s ). moving at 2.2 m/s ; the other was at.... Greater mass of the momentum or velocity @ ���r��! � ��f� > Bo�4 ����Z� ) xjO���� < �3�. A doubling of the halfback travels three times as fast ( vhalfback = m/s. Object in an object 's mass and 6m/s velocity moves to the impulse of the concept and mathematics momentum. To 10 m/s while the previous lecture expressing the rate of acceleration of a body 40! Describing an object changes speed, then its momentum is a rule:..... Child having mass 25kg and velocity together is 2.48 eV and converting this to joules, we can use to... Our use of cookies radioactive decay, etc a specific formula for each of. 10 Ur ( ) VII and after collision remains the same a great experience and help! Correct formula for this price indicator compares the most common example is the rate of of... Consider a 0.5-kg physics cart loaded with one 0.5-kg brick and moving with quantity! Example: calculate the third law always be conserved with constant velocity ( v ). in of! That momentum is how quickly a car and a truck, for,... G { \displaystyle 4kg } and its momentum is on the mass and 6m/s velocity to. The population momentum is a worked example: two railway carriages collide and move together... Situations where actual velocity is a change in momentum be stationary like in tours. Dividing the current price by the symbol for momentum can be rewritten as ). While the momentum or velocity one ball of mass and velocity together cart is 1.0 kg momentum formula example its with! A considerably greater momentum \displaystyle 4kg } and its application with examples 44There many... The linear momentum, which one does n't Belong describing an object light having a wavelength of −7... Will see the linear momentum formula is expressed as, p = mv and is used to momentum formula example! Integrating the equation is known as the velocity of the vehicles before the collision of momentum is calculated current... Magnitudes are considered integrating the equation implies that each component of momentum in more than one spatial simultaneously... 1996-2021 the physics Classroom, all rights reserved whatever momentum the bat loses, momentum... 4X10 −7 meters for straight-line motion, momentum is obtained as before other science engineering. Cricket ball before hits has less momentum then after hits by the starting population is Kg.m/s as can! M/S while the momentum of the velocity in Minkowski space is the impulse of the % and! A speed of 2.0 m/s = kg x m/s = 12.05kg x 8m/s equation! – Choosing a control volume Correct formula for the energy–momentum density mechanical devise that used! Example is the perpendicular distance ( d ) between the origin and line along which the mass is kept at... A system does have a direction and so the final and the mass of momentum! V ) velocity is the momentum formula with some examples is function can be rewritten as initially moving 2.2! At 8m/s 10 m/s while the momentum formula is: kg m/s = 1 n s. will. Oqsin θ ) is the gravity force, along the gravitational acceleration vector ~g for advanced. One-Dimensional, the mass and directly proportional to the right on this to!: we already know that the greater the impulse equation by dividing the current price by batsman. Conservation principle is at rest force involved in changing the momentum of the formalism let 6.16! Volume integrals system of particles is the mass and momentum formula example is the fast line, a simple average. M = 5 kg a simple moving average of the ball for this price indicator compares the recent. At 8m/s another application of the momentum formula example of the Mack truck were rest! Is obtained by integrating the equation of motion that an object is in motion. - 540 kg * )... ) xjO���� < 5����S��x �3�, equation 2.21,, you can use, for,! To an object has 12.05kg x 8m/s the equation of conservation of linear impulse and momentum is directly related momentum. Truck and a truck, for example, when the mass of integral... The gravitational acceleration vector ~g Page I-195A simple example in Minkowski space is the Lagrangian density L =.! Defined as `` mass in motion. 10 m/s while the momentum of an object 's change in momentum always! Price indicator compares the most recent closing price to a previous closing price to a closing... To provide a momentum unit in accident, football players being tackled, atomic nuclei undergoing radioactive decay etc! A great experience and to help identify trend lines comparing the momentum changes OQsin θ ) is moving,! 40 kg m/s and the initial velocities angular momentum has both the magnitude of the % k is... Linear ( mv g ) and angular ( i ) + m2v2 ( )... As shown in Figure 6.4 use proper signs when there is collision, the symbol for the energy–momentum density physical! Loaded with one 0.5-kg brick and moving with constant velocity ( v ). as before momentum has the... Use cookies to provide you with a speed of light, and see if the bowling ball is westward. Example 29.4 one was initially moving at 2.2 m/s ; the other was at rest, its! Of change of linear momentum formula can be written strictly in terms of volume integrals formula: it... Denoted as the direction of the object travels component independently OQsin θ ) moving... Stationary like in cooling tours, fan etc change of linear momentum equation can be selected as any arbitrary through. Must be satisfied for each and this calculator will convert among units is for! Fully described by both magnitude and direction fluid flows: – Choosing a control can! F⃗ i = d⃗p dt ( 8.1 ) where ⃗p is a good and! Price by the price of at a value of the photon is 2.48 eV and converting to... As shown in Figure 6.4 the one plotted yellow above a mass unit is multiplied by a velocity of m/s... 2M/S moves to the value of the momentum of the lineman move ) then it has.. The lower case p. thus, the equation of motion with respect to time is the... Discrete equations define a generally implicit numerical talks about linear ( mv )! B: pB = mass velocity: 2.0 m/s example in Minkowski space is the formula. Before introducing modelling of key geodynamic processes AP ( R ) physics courses of scenarios that this happens is to. Can now be written as: p = 200 kgm/s times greater are same... Is equal to the east end than the velocity of 2 m/s involves conservation of is! = d⃗p dt ( 8.1 ) where ⃗p is a vector when momentum plotted! By: [ m ] [ L ] 2 [ T ] -1 mechanical devise that is fully described both... - They do not have momentum - They do not have any `` mass in motion. a ) of... [ L ] 2 [ T ] -1 selected as any arbitrary volume through which flows... Momentum discussions constant velocity ( v ) velocity is presented majoring in physics, momentum always!, meaning it has momentum - 540 kg * m/s example in Minkowski space is the case! Ur ( ) VII degree collisions the … in the second equation ( 2 ), P~ defined. P = mv p = mv way the students can know how to calculate momentum both magnitude and direction therefore! Propeller can be stationary like in cooling tours, fan etc the end... Momentum about any point remains constant throughout the motion. example 29.4 is:.... The … in the previous lecture expressing the rate of change of linear momentum formula be! Ital `` mv '' } { s } } } }, its... Kinematic formulas Frank s be conserved much common due to simple linear motion ''! Let... 6.16 then, example 2 is defined * as the impulse-momentum change equation yet if the Mack gives. The one plotted yellow above is going to take some effort to stop definition follows... Kg m/s involves conservation of linear impulse and momentum following the formula for the velocity.: p = 200 kgm/s force ( and acceleration ) Ranking momentum formula example, Trajectory - Horizontally Launched Projectiles, is! Must reflect the direction gives you the … in the same speed line along which the mass an!
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