The velocity of an object with mass m1 = 5kg is V1 = (4i + 7j) m / s and the speed of an object with mass m2 = 8kg is V2 = (- 2i + 5j) m / s. Find the velocity of the center of mass of this two particle 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 objects, both with a mass of 1.87 kg are sliding across a horizontal, frictionless surface…

A:

Q: Two objects, both with a mass of 1.89 kg are sliding across a horizontal, frictionless surface…

A: given: m1=m2=1.89 kg v1 = 4.99 i m/s v2 = -2.16 i m/s let final velocity= v

Q: Two manned satellites approaching one another at a relative speed of 0.350 m/s intend to dock. The…

A:

Q: In one dimension, a particle of mass m and velocity Vî collides elastically with a particle of mass…

A:

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: A 1.80-kg particle has a velocity (1.60 î – 3.50 ĵ) m/s, and a 4.50-kg particle has a velocity (1.00…

A: mass of first particle (m) = 1.80 kg Velocity of first particle (u) = 1.60i^ - 3.50j^ msmass of…

Q: 6 A 2.0 kg body and a 3:0 kg body are moving along the x-axis. Ata particular instant the 2.0 kg…

A:

Q: Sphere A, of mass 0.600 kg, is initially moving to the right at 4.00 m/s. Sphere B, of mass 1.80 kg,…

A: SOlution: Given that mA = 0.6 kg mB = 1.8 kg vA =+4 m/s vB =+2 m/s

Q: Two manned satellites approach one another at a relative speed of 0.450 m/s, intending to dock. The…

A:

Q: Two manned satellites approaching one another at a relative speed of 0.450 m/s intend to dock. The…

A: Apply law of conservation of momentum

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 carts of mass 0.65 kg and 1.50 kg are moving on a level air track with velocities -1.60 m/s and…

A: Given, mass of the cart, m1 = 0.65 kgm2 = 1.50 kgv1 = -1.60 msv2 = +0.85 ms

Q: Two manned satellites approach one another at a relative speed of 0.100 m/s, intending to dock. The…

A: Mass of the satellites,

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: 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: Determine the location of the center of mass of the system shown in the figure. 0.2 m 0.2 m 2 kg 3…

A:

Q: Two objects, both with a mass of 1.87 kg are sliding across a horizontal, frictionless surface…

A: Given: The mass of the object is 1.87 kg. The initial velocity of the first object is 4.63 m/si. The…

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

A:

Q: Two asteroids strike head-on: before the collision, asteroid A, (mA = 7.5 x 1012 kg) has velocity…

A: Given Mass of the two asteroids are given as mA=7.5×1012 kg and mB=1.45×1013 kg Initial velocity of…

Q: The x and y coordinates in meters of the center of mass of the three-particle system shown below…

A: Given, m1 = 4 kg at 0, 0m2 = 6 kg, at 1, 3m3 = 5 kg, at 2, 2

Q: A particle with mass mA = 3.00 kg is located at  rA = (2.50 i + 3.50 j) m, and a second particle of…

A: Given that:- Mass of A=3 kg  Mass of B=5kg

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

A: Given, Center of mass of system is at rest time, t=3.07 s masses, velocity equation of particles 1,2…

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

A:

Q: Two objects, both with a mass of 1.91 kg are sliding across a horizontal, frictionless surface…

A:

Q: Three particles of masses m1 = 2.5 kg, m2 = 4.1 kg and m3 = 3.1kg are at the corners of an…

A:

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

A:

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: 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: Two objects, both with a mass of 1.92 kg are sliding across a horizontal, frictionless surface…

A:

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

A: Given: Relative speed of satellites, urel = 0.300 m/s mass of first satellite, m1 = 2.50 ✕ 103 kg…

Q: A particle with mass mA = 3.00 kg is located at  rA = (2.50 i + 3.50 j) m, and a second particle of…

A:

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: A system has a 1.5 kg particle at the origin.  The other particle has a mass of 2.5 kg and is…

A: The center of mass of a system of particles is defined as the point at which the whole mass of the…

Q: A 1.95-kg particle has a velocity (1.95 î - 3.07 j) m/s, and a 2.91-kg particle has a velocity (1.06…

A:

Q: A particle with mass ma = 3.00 kg is located at ra = (2.50 i+ 3.50 j) m, and a second particle of…

A:

Q: A 2.06-kg particle has a velocity (1.92 î − 2.98 ĵ) m/s, and a 2.90-kg particle has a velocity (1.06…

A:

Q: Two manned satellites approach one another at a relative speed of 0.400 m/s, intending to dock. The…

A: Let u1 be velocity of first satellite and u2 be that of second satelliteAlso , given that masses…

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

A:

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

A: Given data according to question m1   =    5.50 *  103kg m2   =   7.50 * 103 kg

Q: Ball a with mass ma=42kg is thrown in the horizontal direction with a velocity of va=16 m/s, and…

A: Considering collision along x and y axes seprately. We have PAxi+PBxi=PAxf+PBxf PAyi+PByi=PAyf+PByf