One astronaut is 75kg, and another who is 3.4 m away in the x-direction is 85kg. How far from the first astronaut is their mutual center of mass?   pick the one equation and define the relevant knowns and single unknown.

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A: There is no external force in the process of explosion.So, indvidual particle can have different…

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Q: at the instant a 2 kg particle has a velocity of 4ms in the positive x-direction, a 3kg particle has…

A: center of mass is a point representing the mean position of the matter in a system.

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Q: At one instant, the center of mass of a system of two particles is located on the x-axis at 2.0 m…

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Q: Point-masses m, are located on the x-axis as shown. Find the moment M of the system about the origin…

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Q: Suppose that m1 = 5.0 kg and x1 = 2.0 m, while m2 = 12.0 kg and x2 = 6.0 m, where is the center of…

A: The masses of the objects are: m1=5 kgm2=12 kg The center of mass of the objects are: x1=2 mx2=6 m

Q: Three point particles are fixed in place in an xyz coordinate system. Particle A, at the origin, has…

A: The force between the particles,   The force in each component,

Q: Three particles are distributed in the xy-plane. The másses and the coordinates for the three…

A: Centre of mass of a system is a place where it is believed that complete mass of the system lies…

Q: Particle A has a mass of 4.700 g, particle B has a mass of 1.300 g. Particle A is located at the…

A: Write the given values with the suitable variables. mA=4.70 kgmB=1.30 kgxA,yA=0, 0xB,yB=25 cm, 0…

Q: Three particles are placed in the xy plane. A 30-g particle is located at (3, 4) m, and a 40-g…

A: Given;-  A  30-g particle is located at (3, 4) m 40-g particle is located at (-2, -2) m Find:-…

Q: A gymnast jumps straight up, with her center of mass moving at 3.99 m/s as she leaves the ground.…

A: Let us consider a gymnast who jumps straight up with her moving center of mass at an initial speed…

Q: Two small-sized objects are placed on a uniform9.00/rmkg plastic beam 3.00 long,rmm . Assume that…

A: The center of mass of a distribution of mass in space is the unique point where the weighted…

Q: m, = zkg with Yelocity Mz = 1kg with elocity TWo toy robots , one of mass %3D V = Ims- and another…

A: (a)  The velocity of the center of mass of the system before the collision can be determined as,

Q: 2.00 kg object at + 3.00 meters, 3.00 kg object at +2.50 meters, 2.50 kg object at its origin and…

A: Center of mass = ?

Q: Three masses A=3kg, B=4kg and C=5kg are connected by rods of negligible mass to form an equilateral…

A:

Q: Three particles are placed in the xy plane. A 40-g particle is located at (3, 4) m, and a 50-g…

A: Given data: First particle: m1=40 gx1,y1=3,4 Second particle: m2=50 gx2,y2=-2,-6 Third particle:…

Q: A 3.28 kg particle has the xy coordinates (-1.46 m, 0.885 m), and a 2.47 kg particle has the xy…

A: Given information: The mass of the particle 1 (m1) = 3.28 kg The coordinates of the particle 1 (x1,…

Q: At one instant, the center of mass of a system of two particles is located on the x-axis at 2.0 m…

A: We can calculate the velocity of the particle at the origin by using total momentum of the system ,…

Q: A proton with an initial speed of 1.73 ✕ 108 m/s in the +x direction collides elastically with…

A: Given, a roton with an initial speed of u1 = 1.73 ✕ 108 m/s in the +x direction collides elastically…

Q: Consider a system consisting of two point particles A and B separated by 25 cm. The distance between…

A: By balancing of masses, mAxA=mBd-xA

Q: A smooth sphere A, of mass 3m, moving on a smooth horizontal table with speed 4u, impinges directly…

A: Given data: The mass of sphere A, mA=3m. The mass of sphere B, mB=2m. The initial velocity of…

Q: A tabletop gamer has designed a game that requires three dice to be thrown onto a tray with a…

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Q: One astronaut is 75kg, and another who is 3.4 m away in the x-direction is 85kg. How far from the…

A: The expression for the centre of mass for 2 objects in x-direction is…

Q: A 1300 kg car moving at 6.3 m/s is initially traveiing north in the positive y direction. After…

A: mass of car (m) = 1300 kg initial velocity (u) = 6.3 ms due north after turn , new velocity = 6.3 ms…

Q: . A thin strip of metal of mass M is bent into a quarter circle with radius R. Relative to a…

A: The linear mass density of a metal strip is given as, λ=MLλ=M2πR4λ=2MπR   The position of the center…

Q: A three-particle system, with masses m = 2.0 kg, m2 = 4.0 kg, and ma = 8.0 kg. The scales on the…

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Q: Two pieces of space debris drift toward each other, collide, and stick together. The first piece has…

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Q: Three masses, 1.0 kg, 2.0 kg, and 3.0 kg, are located at (0, 0), (1.0 m, 1.0 m), and (2.0 m, -2.0…

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Q: A proton of mass m undergoes a head on collision with a stationary atom of mass 13m.  If the initial…

A: Given data The mass of the proton is m1 = m. The mass of the stationary atom is m2 = 13m. The…

Q: A man of mass m = 75 kg was initially sitting on one end of a small boat of length L = 3.5 m and…

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Q: Three people of roughly equal masses on a lightweight banana boat sit along the x axis at positions…

A: xA = 1.0 m, xB = 5.0 m xc = 6.0 m   position of center of mass= MaXa + MbXb + McXc / (Ma+Mb+Mc) as…

Q: A rod 2 meters long has a linear density of p(x) = 8 - 3x. How far, in meters, is the center of mass…

A: Given data ρx=8-3x

Q: The coordinates of the center of mass for the three-particle system shown in the figure are (L/4,…

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Q: When the center of mass of a system of identical particles is at the origin?

A: C.M. is hypothetical point which lies inside or outside body, at which complete mass of body is…