In the figure below, m1 3kg, m2= 4kg, and m3 = 8kg, and the scales on the axes are set by xs = 2m and ys = 2m.  What are the x and y coordinates of the center of mass of the system?

Q: A 1.76 kg particle has the xy coordinates (-1.41 m, 0.619 m), and a 5.63 kg particle has the xy…

A: m1 = 1.76 kg r1 = (-1.41 , 0.619) m m2 = 5.63 kg r2 = (0.206 , -0.607) m m3 =3 kgrc.m= (-0.848 ,…

Q: Two automobiles approach an intersection.  One vehicle (with mass m) is traveling with velocity 20…

A: In the given case, type of collision is perfectly inelastic collision During perfectly inelastic…

Q: 2 Three pieces of putty are launched at one another. They are all aimed at the origin of a Cartesian…

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Q: Find the mass and center of mass of the lamina corresponding to the region R for each density. R:…

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Q: A 6 meter rod has a linear density of f(x) = ax + b, if one one end the linear density is 2kg/m and…

A: Given data The length of the rod is l = 6 m The relation of the linear density is f (x) = ax + b The…

Q: Three particles of masses 6.55kg, 7.589 kg, and 14.297 kg form an equilateral triangle of edge…

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Q: Object 1 is located at (0,1.4) m and has a mass of 79 kg.  Object 2 is located at (9.4,4.1) m and…

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Q: A system of four particles moves along one dimension. The center of mass of the system is at rest,…

A: Given:                   Required: The velocity of the particle 4 at time t = 2.83 sec as all the…

Q: 1. Consider the system shown on the right that contains altogether N particles. Part A contains…

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Q: Three objects are situated along the x axis as follows: a 1.5.00-kg object is located at -2.00 m, a…

A: m1 = 1.5 kg x1 = -2 m m2 = 2 kg x2 = 1.5m m3 = 3 kg x3 = 0m

Q: A system containing two particles has a center of mass along the horizontal axis at x = 3.5 m. If…

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Q: the following figure shows three bodies m1= 3kg m2= 4kg m3= 8kg the scale of the axis is x = 2m and…

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Q: A vessel at rest at the origin of an xy coordinate system explodes into three pieces. Just after the…

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Q: Determine the coordinates in which a particle of mass m4 = 6gr must be placed so that the center of…

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Q: Four objects are situated along the y axis as follows: a 1.97-kg object is at +2.93 m, a 2.95-kg…

A: Given that, the masses of four objects are m1=1.97kg                        m2=2.95kgm3=2.42kg…

Q: two partucles are moving along the x axis. particle 1 mass a mass m1 and a velocity v1=3.5. particle…

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Q: Three point masses 4kg, 2kg and 6 kg lie at (2,-4), (0,2) and (3,-4) respectively. Calculate the…

A: Given The mass at first point is m1=4 kgThe mass at second point is m2= 2kgThe mass at third point…

Q: Consider two objects. Object 1 has a mass of 7 kg and is placed at the origin. Object 2 has a mass…

A: The formula for x-coordinate of the center of the mass is:

Q: A system of four particles moves along one dimension. The center of mass of the system is at rest,…

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Q: A 4.73 kg particle has the xy coordinates (-1.50 m, 0.794 m), and a 5.13 kg particle has the xy…

A: Given that m1 = 4.73kgAnd its coordinates are (x1,y1)=(-1.50m, 0.794m)m2 = 5.13kgAnd its coordinate…

Q: Find the mass and the indicated coordinates of the center of mass of the solid region Q of density p…

A: Given: The equation of the solid region is 3x + 3y + 6z = 18 , x=0, y=0,  z=0 The density of the…

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: Three objects lie along the xx-axis. A 3.00 kgkg object is at the origin, a 2.00 kgkg object is at…

A: Given data The mass of object A which is kept at origin x1 = 0 is m1 = 3 kg. The mass of object B…

Q: A vessel at rest at the origin of an xy coordinate system explodes into three pieces. Just after the…

A: Three pieces of the vessel having masses as, and Mass moves with velocity Mass moves with…

Q: m 3 kg, 7,- m/s my-4 kg, 7 m/s

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Q: A system of four particles moves along one dimension. The center of mass of the system is at rest,…

A: The mass of the particle 1 is 1.33 kg. The velocity of the particle 1 is 7.19 m/s+0.255 m/s2t. The…

Q: Four objects are situated along the y axis as follows: 5.8 kg object is at +30 m, 21.9 kg object is…

A: Given values: Masses and respective y-co-ordinates, m1=5.8 kg, y1=30 mm2=21.9 kg, y2=25 mm3=19.4…

Q: A uniform flat plate of metal is situated in the reference frame shown in the figure attached.…

A: here part-A lamina is symmetric from all side therefore center of mass lie on its geometric center…

Q: A 1.34 kg particle has the xy coordinates (-1.54 m, 0.660 m), and a 2.30 kg particle has the xy…

A: m1 = 1.34 kg r1 = (-1.54 , 0.660) m m2 = 2.30 kg r2 = (0.896 , -0.181) m m3 =3.87 kgrc.m= (-0.571 ,…

Q: Four objects are situated along the y axis as follows: a 1.92-kg object is at +2.97 m, a 3.06-kg…

A: FINAL ANSWER:      X-component of the centre of mass is =0m     Y-component of the centre of mass is…

Q: A 2.50 kg particle has the xy coordinates (-1.20 m, 0.500 m) and a 5.50 kg particle has the xy…

A: Given, A particle having mass m1=2.5 kg has coordinate x1,y1=-1.20m,0.500m A particle having mass…

Q: What are the x and y coordinate of the center of mass relative to the oripgin? angle, as show…

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Q: Homework Q9.

A: Consider the velocity of the cart of 318 g air track is +1.8 m/s. Therefore, the velocity of the 324…

Q: I need help with this problem.

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Q: A vessel at rest at the origin of an xy coordinate system explodes into three pieces. Just after the…

A: Given,

Q: The vector position of a 3.75 g particle moving in the xy plane varies in time according to r₁ = (31…

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Q: A 2.00 kg particle has the ry coordinates (1.20 m, 0.500 m), and a 4.00 kg particle has the ry…

A: Answer            (-0.1m , 0.7667m)

Q: A 1.82 kg particle has the xy coordinates (-1.78 m, 0.802 m), and a 4.12 kg particle has the xy…

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Q: located at (-7,-4.6)m and has a mass of 49.5 kg. Object 2 is located at (1.5,5)m and has a mass of…

A: Given  m1 = 49.5 kg  m2 = 64.1 kg  m3 = 34.7 kg  X coordinates  x1 = -7 m  x2 = 1.5 m  x3 = -0.3 m

Q: Find the x- and y-coordinates of the center of mass of a system composed of the following particles:…

A: Given data m1=0.5 kgm2=1.25 kgm3=0.75 kgx1=0x2=0.15 mx3=0.2 my1=0y2=0.2 my3=-0.8 m

Q: An astronaut in her space suit has a total mass of m1 = 79.8 kg, including suit and oxygen tank. Her…

A: Initially, the astronaut-tank system is at rest and the initial momentum is zero. According to the…