In 1993 the spacecraft Galileo sent home an image of asteroid 243 Ida and a tiny orbiting moon (now known as Dactyl), the first confirmed example of an asteroid–moon system. In the image, the moon, which is 1.5 km wide, is 100 km from the center of the asteroid, which is 55 km long. The shape of the moon's orbit is not well known; assume it is circular with a period of 27 h. (a) What is the mass of the asteroid? (b) The volume of the asteroid, measured from the Galileo images, is 14100 km3. What is the density (mass per unit volume) of the asteroid?

Q: 39) A heat engine receives 7000 J of heat and loses 3000 J in each cycle. What is the efficiency of…

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Q: A solid insulating sphere of 2.0 cm radius is uniformly charged throughout its volume with an…

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Q: An incompressible fluid is flowing through a horizontal pipe with a constriction. The velocity of…

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Q: A current of 9.03 A flows through a conductor for 7.5 seconds What amount of charge passes through…

A: Introduction :  In this question we are provided with value of current and time . with these data we…

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Q: A 1200-kg sports car is advertised to accelerate from 0-100 km/h (27.78 m/s) in 3.00 s. What is the…

A: Solution

Q: 41) A certain automobile engine takes in 4.00 kJ of heat and performs 1.10 kJ of mechanical work in…

A: in this question we use  engine  efficiency equation.

Q: QUESTION 6 Which of the following is NOT an example of accelerated motion? OA.A swinging pendulum…

A: (6) In projectile motion there no  any acceleration in horizontal direction therefore velocity in…

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A: In the given question, The radius of circular orbit (a) = 5.3×10-11m The orbital speed of electron…

Q: Two railroad cars, each of mass 5819kg and traveling 108km/h in opposite directions, collide head-on…

A: Mass of each car, m = M = 5819 kg Velocity, v = V = 108 km/h = 108×5/18 m/s = 30 m/s Thermal energy,…

Q: 22) A 4.0-kg aluminum block is originally at 10°C. If 160 kJ of heat is added to the block, what is…

A: solution:- given data , mass of block m = 4kg, initial temperature of  block,  Ti  = 10°C, when we…

Q: An amateur in the study of space bought a simple astronomical telescope and the curved mirror was…

A:

Q: A cylinder contains one mole of oxygen gas at a temperature of 27°C. The cylinder is provided with a…

A: Write the given values with the suitable variables. T1=27 °C=300 KP=1 atmT2=127 °C=400 K Here, T1,…

Q: A particle moves back and forth along a straight line. Its position (in meters), relative to the…

A: The position of the particle is given as st=3t3-9t2+5t-15

Q: At 1.6 °C, the length of the glass is 50 cm. After heated, the final length of the glass is 50.9 cm…

A: Given  initial temperature T1 =1.60C final temperature T2 = T2 initial length L0 =50 cm final Length…

Q: The electric field strength outside a finite distribution of charge whose volume charge density…

A: Here density of distribution (p) =p(r)  Outside the distribution total charge enclosed will be the…

Q: Consider two identical simple RC circuits each composed of a capacitor ( 2.31 mF), a resistor ( 28.2…

A: Given  resistance(R)=28.2 kilo ohm’s  capacitance(C)=2.31 mF voltage(V)=25.8 V

Q: A 0.52-mmmm-diameter hole is illuminated by light of wavelength 510 nmnm.     Part A What is the…

A: Diffraction is a phenomenon that represents the bending of the light when it encounters an obstacle.…

Q: An object is 32 cmcm in front of a diverging lens with a focal length of -16 cmcm.     Part A Use…

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Q: Question 6 of 10 In the figure, block 1 has mass m₁ = 460 g. block 2 has mass m₂ = 580 g, and the…

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Q: 26) A 45.0-kg sample of ice is at 0.00° C. How much heat is needed to melt it? For water LF =…

A: Concept : Heat required to melt m mass of ice into water is H = m × Lv Where Lv is the latent heat…

Q: Two charged particles are 7.54 cm apart. They are moved and the force on each of them is found to…

A: In the given question,  Initial separation between two charges (d) = 7.54cm = 7.54×10-2m The charges…

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A: I of solid sphere 12 = 2mr^2/5 M.I about a parallel axis = 12 + md^2 I of hollow sphere 11= 2mr^2/3…

Q: What is the surface temperature of a star that emits light with a wavelength of 400 nanometers?

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Q: Find the final velocity of car Initial velocity=0 m/s Acceleration=22 m/s2 Time=0.5 s

A: Given data : Initial velocity=U Acceleration=a Time=t   Required : Final velocity

Q: Suppose the same masses are used for a force table experiment as were used in Part 1, but each…

A: We are given that in this case each pulley is moved 180° so that the 0.1 kg mass acts at 200° and…

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Q: In a cheerleading competition, the 65.0 kg cheerleader is tossed vertically upward with a speed of…

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Q: Which of the following is least likely to always hold valid about equipotential surface(s) and/or…

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Q: Calculate the mechanical advantage of a crowbar of length 240 cm if its fulcrum is situated at a…

A: Given that                 The length of the crowbar (L) = 240cm                 Length of the load…

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Q: S: Two vectors lying in the xy plane are given by the equations A=51-2j and B-21-3j. AxB equals: 19k…

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Q: D-WAVES (Show ALL Work) 4. The speed of radio waves in air is 3 x 108 m/s. What is the wavelength of…

A: (34) Write the given values with the suitable variables. v=3×108 m/sf=5×105 Hz Here, v is the speed…

Q: Q16: The potential energy of a 0.10-kg particle moving along the x axis is given by U(x)=(8x²-2x).…

A: We have a particle of mass m=0.10 kg which is moving along the x axis with a potential energy…

Q: If a rock containing U-238 initially reads 40.4 counts per minute on a Geiger counter, what will its…

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Q: A 20.0 kg box sits on top of a sled. The box and the sled move together at constant speed on a snowy…

A: Friction force and free body diagram

Q: Instruction: Answer the problems completely. Show your complete solution. Write legibly. A cylinder…

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Q: A = 41-6j and B = 21 +10 then the vector C=2Ã-B has a magnitude of: a) 7.2 b) 42 c) 23 d) 64 02: A…

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Q: 12 The horizontal surface on which a 2 kg block slides is frictionless. The speed of the block…

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Q: the amount of sound energy being trasnferred per unit area is called the pressure.

A: in this question  we discuss about sound energy  transfer per unit .

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A: Rotation and translation are 2 attributes associated with motion. Rotation is when body revolves…

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Q: Hooke's Law relates the force on a spring to how much the spring is displaced from equilibrium…

A: Hooke's law states that the force on the spring is directly proportional to the amount of distortion…

Q: A softball having a mass of 0.25kg is pitched at 86.4km/h. By the time it reaches the plate, it may…

A: Write the given values with the suitable variables. m=0.25 kgu=86.4 km/h=86.4×10003600 m/s=24…

Q: d) 64 Q2: A block of mass 0.3 kg is dropped from rest at a height 2 m directly above the top of a…

A: Part (2): Given: The mass of the object is 0.3 kg. The height of the object is  2 m from the ground.…

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A: Given  Mass of first ball is m1=4 kg Initial velocity of first ball is v1=18 m/s Mass of second ball…

Q: An amateur in the study of space bought a imple astronomical telescope and the curved mirror was for…

A: Given the radius =600mm Find facal length

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A: Given data, Incident photon wavelength λ=3500 Ao Work function of metal" A"WA=5 ev Work function of…

Q: Q13: A 6 kg mass is projected down a rough ( shown. )circular track (R = 2 m) as The speed of the…

A: (13) Write the given values with the suitable variables. m=6 kgR=2 mvA=4 m/svB=6 m/s Here, m, R, vA,…

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.