ConstantsAn experiment is performed in deep space with two uniform spheres,one with mass 24.0 kg and the other with mass 101.0 kg. They haveequal radii, r = 0.40 m. The spheres are released from rest with theircenters a distance 44.0 m apart. They accelerate toward each otherbecause of their mutual gravitational attraction. You can ignore allgravitational forces other than that between the two spheres.Part AWhen their centers are a distance 28.0 m apart, find the speed of the 24.0 kg sphere.Express your answer in meters per second.nν ΑΣφ?v1 =m/sSubmitRequest AnswerPart BFind the speed of the sphere with mass 101.0 kg kg.Express your answer in meters per second.?v2 =m/sSubmitRequest AnswerPart CFind the magnitude of the relative velocity with which one sphere is approaching to the other.Express your answer in meters per second.?Vr =m/s

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B The diagram shows the motion of a 250 g mass in circular motion on a horizontal plane. Images captured with a stroboscopic camera with a frequency of 12 Hz. The orbital speed of the mass was 3.5 m s. Two positions of the mass have been labelled. (a) What is the radius of the circle of motion? (b) What is the tension in the string connecting the mass to the centre?
A puck of mass m=2 kg moves on a circle of radius r=0.5 meters, on a frictionless table. The puck is attached to an object of mass M=10 kg by a cord that extends through a hole on the table. Find the speed of the puck if the object is at rest. You may take g=10m/s². Select one: O a. 4/3m/s O b.5/2m/s O c. 5m/s O d. 25m/s O e. 4m/s
A bead of mass m slides without friction along a curved wire with shape z = f(r) where r = Vr2 + y², i.e. the distance from the z-axis. The wire is rotated around the z-axis at a constant angular velocity w. Gravity acts downward along the z-axis with a constant acceleration g. a) Using Newton's second law in an inertial frame, derive an expression for radius ro of a fixed circular orbit (i.e. a solution with r = ro = const.). What is the normal force the wire applies to the bead to keep it in a circular orbit? b) Show that the equation of motion for r(t) (general equation not the circular motion) is F(1 + f'(r)²) + i² f'(r)f"(r) + gf'(r) – w?r = 0. Using this verify your answer to part (a). c) Consider small displacements from the circular orbit, r = ro+e(t). Derive a condition on the function f(r) such that a circular orbit at r = ro is stable. d) Find the force on the bead in the o direction, i.e. perpendicular to the plane of wire. The angular velocity is w = . Obtain the answer…
A uniform cube with mass 0.300 kg and volume 0.0270 m³ is sitting on the floor. A uniform sphere with radius 0.300 m and mass 0.900 kg sits on top of the cube. Part A How far is the center of mass of the two-object system above the floor? Express your answer with the appropriate units. ← Submit xa hem = 52.5 μÀ a Xb b X.10n cm Previous Answers Request Answer XI ?
A bag of onions weighs 3.00 lb on Earth. What would it weigh on the Moon, where the free-fall acceleration is one-sixth that on Earth? Give your answer in units of newtons. 0.456 How does weight depend on the gravitational acceleration? What is the conversion factor from pounds to newtons? N What would it weigh on the surface of Pluto, where g is 0.0673 times that on Earth? Give your answer in units of newtons. What is the mass of the bag of onions in kilograms at each of the three locations? Earth 0.456 How are weight and mass related? What is the gravitational acceleration on the Earth's surface? Be sure to convert the weight from pounds to newtons before calculating the mass in kilograms. kg Мoon 0.456 Does mass depend on gravity? Should the mass be different from what it is on Earth? kg Pluto 0.456 Does mass depend on gravity? Should the mass be different from what it is on Earth? kg
Review The 0.100 kg sphere in (Figure 1) is released from rest at the position shown in the sketch, with its center 0.400 m from the center of the 5.00 kg mass. Assume that the only forces on the 0.100 kg sphere are the gravitational forces exerted by the other two spheres and that the 5.00 kg and 10.0 kg spheres are held in place at their initial positions. Part A What is the speed of the 0.100 kg sphere when it has moved 0.400 m to the right from its initial position? Express your answer with the appropriate units. HA ? Figure 1 of 1 a Xb X•10" v = Value Units 10.0 kg 5.00 kg 0.100 kg Submit Previous Answers Request Answer 0.400 m X Incorrect; Try Again; 8 attempts remaining Enter your answer using units of velocity. 0.600 m 圓

Part A Find the magnitude of the force the Sun exerts on Neptune. Assume the mass of the Sun is 2.0x1030 kg, the mass of Neptune is 1.02x1026 kg, and the orbit is 4.50x10° km. Express your answer with the appropriate units. HÀ F = Value Units Submit Request Answer Ne Provide Feedback 4 MacBook F7
Two 150 kg lead spheres are suspended from 100-m-long massless cables. The tops of the cables have been carefully anchored exactly 1 m apart. Part A By how much is the distance between the centers of the spheres less than 1 m? Express your answer to two significant figures and include the appropriate units. Ax = ¹"¯μA Value Units ?
A 15.0 kg sphere is at the origin and a 9.00 kg sphere is at x = 20 cm. Part A At what position on the x-axis could you place a small mass such that the net gravitational force on it due to the spheres is zero? Express your answer with the appropriate units. ► View Available Hint(s) X = CHμA Value Units ?
A rocket with mass 7.00×103 kgkg is in a circular orbit of radius 7.50×106 mm around the earth. The rocket's engines fire for a period of time to increase that radius to 8.80×106 mm, with the orbit again circular. Part A What is the change in the rocket's kinetic energy? Does the kinetic energy increase or decrease? Express your answer with the appropriate units. Enter positive value if the kinetic energy increases and negative value if the kinetic energy decreases. ΔKΔK = nothingnothing SubmitRequest Answer Part B What is the change in the rocket's gravitational potential energy? Does the potential energy increase or decrease? Express your answer with the appropriate units. Enter positive value if the gravitational potential energy increases and negative value if the gravitational potential energy decreases. ΔUΔU = nothingnothing SubmitRequest Answer Part C How much work…
Item 6 An astronaut, whose mission is to go where no one has gone before, lands on a spherical planet in a distant galaxy. As she stands on the surface of the planet, she releases a small rock from rest and finds that it takes the rock 0.560 s to fall 1.90 m. ▼ Part A If the radius of the planet is 7.60 x 107 m, what is the mass of the planet? Express your answer with the appropriate units. mp = Submit LOI 7 μA 3 Value Provide Feedback → Units Previous Answers Request Answer ? 4

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