A system of three particles with masses m1 = 3.0 kg, m2 = 4.0 kg and m3 = 8.0 kg is placed on a two dimensional xy plane. The scales on the axes are set by xs = 2.0 m and ys = 2.0 m. (a) Find out the x coordinate of the system’s center of mass. (b) Find out the y coordinate of the system’s center of mass. (c) Find out the acceleration of the system if an external force of 5 N acts on it.

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: "A three particle system with with masses: m1 = 2.0 Kg, m2 = 4.0 Kg and m3 = 8.0 Kg. The position…

A: formula for center of mass=> rcom=m1r1+m2r2+... +mnrnm1+m2+...+mn

Q: Two manned satellites approaching one another at a relative speed of 0.300 m/s intend to dock. The…

A: If we take the second satellite to be initially at rest, then the velocity of first satellite in the…

Q: Two manned satellites approaching one another at a relative speed of 0.550 m/s intend to dock. The…

A: Let m1 and m2 be the mass of first and second satellite respectively.Assuming the initial velocity…

Q: 13) A 6m by 6m uniform square plate is attacked to an isosceles triangle with base 6m and height…

A:

Q: A system composed of the following particles: a 0.500 kgkg particle at the origin; a 1.25 kgkg…

A: Solution: Given that m1 = 0.5 kg (0,0) m2 = 1.25 kg (0.15m,0.2m) m3 = 0.75 kg (0.2m, -0.8m)

Q: Consider a system of three equal-mass particles moving in a plane; their positions are given by 7; =…

A: Given value--- position r = ai I + bi j . Particle 1 has a₁ = 6t² +5 and b₁ = 0; particle 2 has a₂…

Q: 2. Two small-sized objects are placed on a uniform 9.00 kg plastic beam 3.00 m long, as shown in…

A: Given: Mass of the plastic beam = 9 Kg Length of the beam = 3 m Mass of the first ball = 8 Kg Mass…

Q: y(cm) 4. m = 40 g т, 3D 20 g, m, =10 g, -2- 1 -2 2 X(cm) -1 -2- -3 3. 3. 5.

A: m1 = 40 gcoordinates of m1 = (3,1) cmm2 = 20 gcoordinates of m2 = (-2,1) cmm3 = 10 gcoordinates of…

Q: The mass of a particle is 2 kg and its velocity is given by V1 = 2i-10tj m / s, with time in t s.…

A:

Q: Two manned satellites approaching one another at a relative speed of 0.300 m/s intend to dock. The…

A:

Q: A system consists of three balls. Ball 1 has a mass of 2.40 kg and is located at x = +3.00 m, y = 0…

A: Given data:  m1 = 2.40 kg at (x1, y1) = (+3.00m, 0m) m2 = 2.80 kg at (x2, y2) = (-1.00m, -1.00m) m3…

Q: Two manned satellites approaching one another at a relative speed of 0.550 m/s intend to dock. The…

A: Solution:The final relative velocity can be calculated using following steps:Given:

Q: Q.12: A block of mass m, = 2-kg is located at the crigin in the XY plane. When t = 0, a second block…

A:

Q: At one instant, the center of mass of a system of two particles is located on the x-axis at 5m 2.0 m…

A:

Q: The figure below shows a three-particle system, with masses m, = 2.1 kg, m2 = 4.2 kg, and m3 = 6.6…

A: m1=2.1 kg at (0,0)m2=4.2 kg at (2,1)m3=6.6 kg at (1,2)

Q: An unstable nucleus of mass 1.7 × 10–26 kg, initially at rest at the origin of a coordinate system,…

A: the equation of conservation of momentum,

Q: Two manned satellites approach one another at a relative speed of 0.300 m/s, intending to dock. The…

A:

Q: At time t= 0, force F1 = (-6.31i + 6.70j) N acts on an initially stationary particle of mass 3.21 ×…

A:

Q: Two manned satellites approach one another at a relative speed of 0.500m/s, intending to dock. The…

A: Velocity of 1st satellite is, v1=u1m1-m2m1+m2=0.500 m/s4500 kg-7500 kg4500 kg+7500 kg=-0.125 m/s…

Q: "A three particle system with with masses: m1 = 8.0 Kg, m2 = 4.0 Kg and m3 = 3.0 Kg. The position…

A: Given data: Masses: m1=8.0 kg; m2=4.0 kg; m3=3.0 kg Position coordinates: x1,y1=5,5; x2,y2=2,1;…

Q: In sample Prob. 9.03, if a forth particle of mass 1 kg is experiencing a force of magnitude F4 = -2j…

A: Given data: The fourth force is F4=-2 N. Mass of fourth particle is m=1 kg.

Q: A 2.10 kg "particle" traveling with velocity = (3.7 m/s )i collides with a 4.70 kg "particle"…

A: We know that two particles collied each other and after a collision, they connect. let the mass of…

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

A: Given data:    ρx,y,z=ky  9x+9y+5z=45,  x=0 y=0  z=0

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

A: The final momentum expression will be,

Q: The figure shows a three-particle system, with masses m1 = 4.8 kg, m2 = 4.0 kg, and m3 = 6.9 kg.…

A: Given data: The masses are, m1=4.8 kgm2=4.0 kgm3=6.9 kg The coordinate of m1, m2, and m3 mass are,…

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

A:

Q: A 5.00 kg particle has the xy coordinates (1.20 m, 2.00 m), and a 6.00 kg particle has the xy…

A: Given: The mass of the first particle is 5.00 kg. The coordinates are (1.20 m, 2.00 m). The mass of…

Q: An unstable nucleus of mass 1.7 ✕ 10−26 kg, initially at rest at the origin of a coordinate system,…

A: Given values:Mass of the nucleus, M = 1.7 ✕ 10-26 kg = 17.0 ✕ 10-27 kgm1 = 1.0 ✕ 10-27 kg,v1 = 5.2 ✕…

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

A: Recall         Xcm=(m1x1+m2x2)/(m1+m2)............(1)Given Xcm=2.0 m           x1=0           m1=?…

Q: If the center of mass of three objects in the xy-plane is given by the location (3 cm, 4 cm) and two…

A:

Q: The figure below shows four objects at the corners of a rectangle, connected by rods of negligible…

A: Part (a) Basic Details The moment of inertia of the system is the product of the mass to that of the…

Q: The three particles in Figure their directions as indicated, and the magnitudes are F1= 6.0 N, F2=14…

A:

Q: 2. Two small-sized objects are placed on a uniform 9.00 kg plastic beam 3.00 m long, as shown in…

A: "As per the guidelines i solved the first question alone". (a) Find the location of the center of…

Q: A big olive (m = 0.12 kg) lies at the origin of an xy coordinate system, and a big Brazil nut (M =…

A: Given:  Mass of olive, m = 0.12 kg  Position of olive, (x', y') = (0, 0)  Mass of nut, M = 0.62 kg…

Q: Two manned satellites approaching one another at a relative speed of 0.550 m/s intend to dock. The…

A: Law of conservation of momentum is,

Q: Which one of the following is the y-coordinate of the centre of mass from three homogeneous solid…

A: The x-coordinate of the centre of mass of a system of mass is given by XCM=∑i=1i=nmixi∑i=1i=nmi The…

Q: A system composed of the following particles: a 0.500 kg particle at the origin; a 1.25 kgkg…

A: Mass of first particle = m1 = 0.500 kg Coordinates of first particle = (x1,y1) = (0,0) Mass of…

Q: 2. Two small-sized objects are placed on a uniform 9.00 kg plastic beam 3.00 m long, as shown in…

A: (given) m1=8 kgm2=7.50 kgM = 9 kgL = 3 mLocation of centre of mass is given byxcm =…

Q: 1. Mass 1 (2.0 kg) is placed on the origin of the x – axis. Mass 2 (3.0 kg) is at x = 2.0 m and mass…

A:

Q: The figure below shows four objects at the corners of a rectangle, connected by rods of negligible…

A:

Q: Find the center of mass coordinates XCM y YCM of the arrangement of masses shown. Assume that the…

A:

Q: The figure shows a three-particle system, with masses m1 = 4,8 kg, m2 = 4.0 kg, and m3 = 6.9 kg.…

A: Given data :- mass m1 = 4.8 kg located at (0,0)  mass m2 = 4.0 kg located at (2,1)  mass m3 = 6.9 kg…