A particle of mass m moves under the influence of a central force   Show that if the particle is moving in a circular orbit of radius a, then its angular momentum is L = mh =m(ka)1/2

Q: Three building materials, plasterboard [k = 0.30 J/(s m C°)], brick [k = 0.60 J/(s m C°)], and wood…

A: The rate of heat transfer is the same for all three materials so  Q/t =kpA∆Tp/L = kbA∆Tb/L =kwA∆Tw/L…

Q: What is the mass of 15m^3 of methylated spirit whose relative density is 0.8?

A: Given, Volume  = 15 m3 Relative density = 0.8  Density of water = 1000 kg /m3 Mass = volume×density…

Q: A resistor and an inductor of values 3 ohms and 0.4 henry, respectively, are connected in series. If…

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Q: A convex mirror has a radius of curvature r of 22 cm. If the object is located 14 cm in front of the…

A: Introduction of Convex mirror: A convex mirror is curved in shape where reflective part of mirror…

Q: Consider the following distribution of objects: a 4.00-kg object with its center of gravity at (0,…

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Q: A majorette in a parade is performing some acrobatic twirlings of her baton. Assume that the baton…

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Q: (8c29p5) Consider the circuit in the figure (b). The curved segments are arcs of circles of angle…

A: Given: a = 12 cm = 0.12 m b = 6 cm = 0.06 m Current = i = 1 A Angle = θ = 35° = 35°180°×π rad

Q: The uniform block shown in the figure weighs 200 lbs. It is pulled up the incline by the force P=…

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Q: A 0.0600 kg ball is traveling horizontally at 28.5 m/s when it is hit by a badminton racquet. The…

A: mass of ball = m = 0.06 kg initial velocity = Vi = - 28.5 m/s final velocity = Vf =  44.5 m/s

Q: Two waves, of the same wavelength are travelling in opposite directions.  One wave has an amplitude…

A: Given:- Two waves, of the same wavelength, are traveling in opposite directions. One wave has an…

Q: Gravitational Force: Two small balls, A and B, attract each other gravitationally with a force of…

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Q: Helium (He), a monatomic gas, fills a 0.036 m³ container. The pressure of the gas is 5.3 × 105 Pa.…

A: The internal energy of a gas is given by the formula: U=pV, where p is the pressure of the gas and V…

Q: A disk, initially rotating at 139 rad/s, is slowed down with a constant angular acceleration of…

A: Given Datainitial angular speed ωi = 139 rad/sangular acceleration α = -4.19 rad/s2    (it is…

Q: Two vectors A = aî - 25+ k and B = 2î+5-4k are given. If A B = 4, determine a O 4 01 O 5 O 3 O 0 02

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Q: A 15 g bullet is fired horizontally into a block of wood with a mass of 2.5 kg an embedded in the…

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Q: In the figure, block 1 of mass m₁ slides from rest along a frictionless ramp from height h = 2.4 m…

A: The potential energy of a body is given by PE = mgh, where m = the mass of the body g = acceleration…

Q: Rotational Kinetic Energy: As shown in the figure, two blocks are connected by a light string that…

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Q: (Figure 1) The car shown in the figure has mass m (this includes the mass of the wheels). The wheels…

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Q: An object of 1 cm tall is placed  3cm in front of a converging lens of focal length of 2 cm. (a) Use…

A: Given Height of object ho = 1 cm Focal length of lens f = 2 cm Situation of object u = -3 cm…

Q: A tensile test is conducted on polypropylene at different load rates (1 mm/min, 10 mm/min, 100…

A: Young's modulus is a property that's inherent to the material. so the load applied to the material…

Q: Rotational Kinetic Energy: Suppose a solid uniform sphere of mass M and radius R rolls without…

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Q: Problem: Jim Bob is showing off his awesome biceps in the gym by doing curls. Assume that his elbow…

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Q: 2. A flat, circular loop has 5 turns. The radius of the loop is 2 m and the current through the wire…

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Q: Part A General Questions: A satellite is in orbit around the earth. Which one feels the greater…

A: The force between satellite and earth during circular motion is centrifugal force which is equal to…

Q: A kite is hovering over the ground at the end of a straight 46-m line. The tension in the line has a…

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Q: An object on a horizontal plane has an initial velocity Vo (6.01+3.0f)m/s at a point where its…

A: Given: Initial velocity vector, v→i=(6.0i^+3.0 j^) m/s Final velocity, v→f=(-8.0i^-4.0 j^) m/s…

Q: 2 3/2 u uvx 0; -0,(1-4 (1--2--²- a'x=a₁|1 2 -3

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Q: 33. ssm A 1.00 x 10-2-kg block is resting on a horizontal frictionless surface and is attached to a…

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Q: Angular Quantities: A chicken is running in a circular path with an angular speed of 1.52 rad/s. How…

A: Givenω=1.52 rad/s

Q: ssm A patient recovering from surgery is being given fluid intravenously. The fluid has a density of…

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Q: In the figure, block 1 has mass m₁ = 460 g and block 2 has mass m2 = 500 g, and the pulley, which is…

A: (d)  Now as the cords don't slip, the tangential acceleration of pulley will be equal to the…

Q: An airplane engine starts from rest; and 2 seconds later, it is rotating with an angular speed of…

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Q: bungee jumper, an 70-kg man, falls from the bridge at A with the bungee cord secured to his ankles.…

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Q: Half of the mass of a piece of wood just cut from a tree consists of carbon. The piece of wood emits…

A: Solution

Q: An individual is wondering how much force their biceps produce holding a weight at 60 degrees (this…

A: Given Angle of flexing θ =60o Biceps insertion LB = 4 cm = 4 x 10-2 m Length of forearm L = 29 cm =…

Q: Problem 1. In figure below, a particle moves along a circle in a region of uniform magnetic field of…

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Q: In the figure, a 3.9 kg block slides along a track from one level to a higher level after passing…

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Q: Refer to Concept Simulation 4.4 for background relating to this problem. The drawing shows a large…

A: Given: Mass of the large cube = M = 22.5 kg Mass of the small cube = m = 4.5 kg Coefficient of…

Q: On earth a block has a weight of 87 N. This block is sliding on a horizontal surface on the moon,…

A: Given, Weight of block on earth  = 87 N  Acceleration due to gravity on moon (gmoon) = 1.60 m/s2…

Q: Three objects are connected by two very light, flexible, and unstretchable string as shown in the…

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Q: An incompressible ideal fluid flows steadily through a pipe. At one point in the pipe, the fluid…

A: Given data:  The pipe diameter at one point (d1) = 6.95 cm Speed (v1) = 1.95 m/s The diameter of…

Q: Please show your solution on paper using the formula D=RT. Thank you! Question: A boy on his…

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Q: When wiring a natural gas furnace that has nameplate stating that a 20 amp, dedicated circuit is…

A: Answer is : True Most of the gas heating furnaces use less than 600Watts of electricity or less than…

Q: The force on a particle is described by the function: F(y) = -b+ay+ where a and b are constants and…

A: Force , F(y) = -b + a y4   Potential U(y) is given as U(y)=−∂F∂y=−4ay3U(y)=-∂F∂y=-4ay3

Q: A 110-N force acting in a vertical plane parallel to the yz plane is applied to the 220-mm-long…

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Q: cannon ball is shot into the air such that its height h, in metres, after time t, in seconds, can be…

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Q: Do conductors also have resistance? Can insulators be made to conduct?

A: Conductors are insulators are two types of material. The main difference between them is amount of…

Q: A 1200 kg roller coaster car starts at point A, then travels 165 ft at 40.0° below the horizontal to…

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Q: wave can be expanded into the following Fourier series: [sin( -)]. { // 2πmt, T m=1,3,5,... If the…

A: Since T=1, we have, ft=∑m=1,3,5,⋯∞1msin2πmt to get into proper summation format we substitute m=2n-1…

Q: A 10.20-g bullet is fired into a stationary block of wood having mass m= 4.990 kg. The bullet imbeds…

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Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.