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 î + 5.93 ĵ) m/s. (a) Find the velocity of the center of mass. (b) Find the total momentum of the system.

Q: Consider a system consisting of three particles: m₁ = 2 kg, ₁ = m/s m3 = 3 kg, v3 = m/s (a) What…

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Q: The figure gives an overhead view of the path taken by a 0.162 kg cue ball as it bounces from a rail…

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Q: Consider a system consisting of three particles: m = 3 kg, v = m/s m2 = 9 kg, v2 = m/s m3 = 4 kg,…

A: P = m1v1+ m2v2+m3v3  Vcm = m1v1+ m2v2+ m3v3/ ( M)

Q: A ball with mass mj = 1.21 kg is initially travelling to the right with a speed u = 4.12 m/s. It…

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Q: The dependence of the velocity of a 3.0 kg particle on time is given by i = (8t)î+ (3t²)j in m/s…

A: Mass of particle= 3kg →v=(8t)i+(3t2)j m/s time= 2 seconds

Q: Consider a system consisting of three particles: m₁ = 3 kg, ₁ m/s. m₂ = 6 kg, 2 = m/s m3 = 4 kg, 3…

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Q: Two manned satellites approaching one another at a relative speed of 0.250 m/s intend to dock. The…

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Q: A firework moves upwards and then explodes into three fragments. The first fragment moves vertically…

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Q: manned satellites approaching one another at a relative speed of 0.100 m/s intend to dock. The first…

A: Given:- Relative speed Vr = 0.100 m/sMass m1 = 2.00 x 103 kgMass m2 = 7.50 x 103 kg. Find:- what is…

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

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

A: Concept: The Reference frame of both the satellites are: here, The initial speed of the satellite=…

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: A particle with a mass of 1.55 kg is acted on by a force Fx acting in the x-direction. If the…

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Q: Mass 1 has a mass of 4.27 kg and is traveling with a velocity of 37.3 m/s, making an angle of 53.5…

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Q: Two blocks of masses m₁ = 5.9kg and mp 19.1kg, resting on a frictionless table, are connected to a…

A: Asit is given that the blocks are released from rest, so initially center of mass was at rest.

Q: A system consists of four particles located as shown. Find the x and y coordinates of the center of…

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Q: Two carts mounted on an air track are moving toward one another. Cart 1 has a speed of 0.8 m/s and a…

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Q: Two carts mounted on an air track are moving toward one another. Cart 1 has a speed of 1.0 m/s and a…

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Q: A body of mass m = 3.513 kg is moving along the x-axis with a speed of 5.00 ms". The magnitude of…

A: Given  Mass is m=3.513 kg Velocity is v=5.00 m/s

Q: Two manned satellites approaching one another at a relative speed of 0.250 m/s intend to dock. The…

A: Given information: Here, m1 and m2 are the mass of the two satellites and u1 is the relative speed…

Q: A 520 kg cannon fires a 5.6 kg cannon ball horizontally.  The recoil speed of the cannon at the…

A: According to law of conservation of momentum, the sum of momentum of cannon and cannon ball before…

Q: Consider a system consisting of three particles: m1 = 5 kg, v, = m/s m2 = 6 kg, v2 = m/s m3 = 5…

A: Ans:- Image-1

Q: An atomic nucleus at rest at the origin of an xy coordinate system transforms into three particles.…

A: Let the mass of original nucleus = M Initial velocity of original nucleus = 0 m/s m1 = 16.7×10-27 kg…

Q: A comet is traveling through space with a speed of 3.00 ✕ 104 m/s when it collides with an asteroid…

A: Given Mass of comet =  1.45 ✕ 1014 kg Mass of asteroid =  6.55 ✕ 1020 kg Initially:speed of comet =…

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

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

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Q: The velocity of an object with mass m1 = 5kg is V1 = (4i + 7j) m / s and the speed of an object with…

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

A: Given values -  u1=0.400 msm1=2.50×103u2=0ms   (second satellite is initially at rest)m2=7.50×103 kg…

Q: Determine (a) the vector position of the center of mass of the system, (b) the linear momentum of…

A: (a)

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

A:

Q: A system consists of four particles located as shown. Find the x and y coordinates of the center of…

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Q: A 2.09-kg particle has a velocity (2.09 i - 2.90 j) m/s, and a 2.98-kg particle has a velocity (1.02…

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Q: A system consists of two particles with masses m1 = 2 kg and m2 = 3 kg. Particle 1 is located at…

A: Mass of particle 1 (m1) = 2 kgMass of particle 2 (m2) = 3 kgCoordinates of particle 1 (x1, y1) = (2…

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

A: The velocity of the center of mass of a given system of particles is given by- vCM=m1v1+m2v2m1+m2…

Q: Two carts mounted on an air track are moving toward one another. Cart 1 has a speed of 0.8 m/s and a…

A: Given data: Speed of cart 1 (V1) = 0.8 m/s Mass of cart 1 (m1) = 0.39 kg Mass of cart 2 (m2) = 0.64…

Q: Two carts mounted on an air track are moving toward one another. Cart 1 has a speed of 1.1 m/s and a…

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Q: A toy snowmobile has a mass of 21.0 kg and a velocity of 88.0 m/s directed at 10.0° N of E. The…

A: Given Mass is m=21.0 kg Velocity is v=88.0 m/s

Q: 5.0 kg. In FIGURE What are the coordinates of the center of mass of the system? у (m) the three…

A: Given data: The mass of particle one is m1 = 3 kg. The mass of particle two is m2 = 4 kg. The mass…

Q: Two carts mounted on an air track are moving toward one another. Cart 1 has a speed of 0.9 m/s and a…

A: Given: The mass of the cart-1 is 0.53 kg. The mass of the cart-2 is 0.63 m/s The speed of the cart-2…

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: The figure shows a three-particle system, with masses m₁ = 3.9 kg, m₂ = 3.8 kg, and m3 = 9.0 kg.…

A: Given Data:m1 = 3.9 kgm2 = 3.8 kgm3 = 9 kgCoordinate of mass m1 is (0,0)                    (Here…

Q: Two carts mounted on an air track are moving toward one another. Cart 1 has a speed of 0.8 m/s and a…

A:

Q: The figure shows a three-particle system, with masses m1 = 1.5 kg, m2 = 3.9 kg, and m3 = 6.4 kg.…

A: Given data:  m1 = 1.5 kg, m2 = 3.9 kg and m3 = 6.4 kg

Q: Two carts mounted on an air track are moving toward one another. Cart 1 has a speed of 0.8 m/s and a…

A: