Mass A is three times more massive than mass B. Mass A is initially moving 12 m/s in the +x-direction. Mass B is initially moving 12 m/s in the –x-direction. Assuming that the collision is elastic, calculate the final velocity of both masses after the collision. Show that your results are consistent with conservation of momentum and conservation of kinetic energy.

Q: A mass mA = 1.8 kg , moving with velocity v⃗A = (3.4i + 6.0j − 2.0k) m/s , collides with mass mB =…

A:

Q: Mass A has an initial velocity of 22 m/s in the +x-direction. Mass B is three times more massive…

A: Given data: Mass of A is m Mass of B is 3m Initial velocity of A is vAi = 22 m/s  Initial velocity…

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Q: At some point in its trajectory, a ballistic missile of mass (m) and velocity v0 splits into two…

A: Given, Mass of missile,m Velocity of missile,v0 Velocity of 1st part, v i Velocity of 2nd part, 2v j

Q: particle A, of mass 8 kg, collides with a particle B, of mass m2 kg. The velocity of particle A…

A: Given values:- Mass of particle A,(MA)=8 kg ----(1) Mass of particle B,(MB)=2 kg ----(2) The initial…

Q: How is an elastic collision different from an inelastic collision if momentum is conserved in both?…

A: The momentum is conserved in elastic as well as in inelastic collisions.

Q: Starting from Newton’s second law of motion, prove that impulse imparted on an object is equal to…

A: From Newton's laws of motion we need to prove that impulse imparted on an object is equal to the…

Q: nter the x , y , and z components of the velocity

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Q: le A, of mass 2 kg, collides with a particle B, of mass 2 kg. The velocity of particle A before the…

A: Given values:- Mass of particle A,(MA)=2 kg ----(1) Mass of particle B,(MB)=2 kg ----(2) The initial…

Q: On a horizontal frictionless table, masses A and B (3 kg, 5 kg) slide to the right and left,…

A: Before collision, pAbefore=mAuA=3 kg3 m/s=9kg·m/s After collision, pAafter=mAvA=5 kg-1.5 m/s=-4.5…

Q: mass of 0.5 kg moves with a speed of 2 m/s along the x axis. A second mass 0.3 kg moves with a…

A: mass of first particle = m1= 0.5 kg its velocity = V1i= 2 m/s mass of second particle = m2= 0.3 kg…

Q: Next up on this adventure, shooting bullets into conveniently shaped pendulum systems to have a…

A: The mass of a projectile is, m1=0.5 kg The mass of the wooden block is, m2=20 kg The height of the…

Q: Prove that the linear momentum of a system of particles is conserved

A: We have to prove that the linear momentum of a system of particles is conserved.

Q: Let it be a system formed by two particles 1 and 2 of mass m1 and m2, respectively. Show that the…

A: Objective: To determine the position of the center of mass is located at an internal point to the…

Q: Q/ At some point in its trajectory, a ballistic missile with mass (m) and velocity v0 splits into…

A: Given data: The mass of the ballistic missile is m The initial velocity is v0 The ballistics…

Q: Consider a box that explodes into two pieces while moving to the right along an x-axis. If one…

A: Initial mass of box (M) = m1 + m2Initial velocity of the box is along + x axis

Q: Ball having mass 7.6kg and velocity 7.8m/s travels to the east. Impulse given at point O, makes it…

A: Given mass of ball = m = 7.6kg  initial velocity of ball = u = 7.8m/s travels to the east when…

Q: A 0.5 puck is initially moving at 1 m/s to the right when it is struck from behind by a 0.4 kg puck…

A: Solution-

Q: If we hit a 0.25 kg ball travelling 15 m/s leftward towards the bat that then travels 15 m/s…

A: Impulse is the effect of force over a small time interval. It is equal to the change in momentum.…

Q: A baseball of mass m, initially at rest, is struck by a bat so that it acquires speed v, If t…

A: SOlution:

Q: Consider the collision pictured below. While m2=10kg is initially at rest, horizontally moving…

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Q: Two balls moving in opposite directions have velocities v1ix= 14ˍm/s and v2ix = -8.4ˍm/s . If their…

A: Write an expression velocity of the first mass after elastic collision

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: Consider the collision below between two objects of unequal mass. After finding the angle Θ2 speed…

A: Given: Mass of small ball = m Mass of big ball = 2m Initial Velocity of small ball = 3vo Initial…

Q: A particle of mass m, collides with another stationary particle of mass M. If the particle m stops…

A:

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

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: In a billiard game, a cue ball of mass 180 g moving to the left at 4.75 m/s collides head on with a…

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Q: A billiard ball moving at 5.45 m/s strikes a stationary ball of the same mass. After the collision,…

A: Given: Initial velocity of ball 1 is u1=5.45 m/s Initial velocity of ball 2 is u2=0 m/s Final…

Q: A mass m₁ of 100 kg travelling with a uniform velocity of 5 m/s along a line collides with a…

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Q: Masses of m = 2 (kg) and m2 = 4 (kg), the directions of which are shown in the figure, collide…

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Q: For a system of three particles moving along a line, an observer in a laboratory measures the…

A: Write the values of all masses with corresponding velocities.   m1=3.40 kg, v1=265 m/sm2=5 kg,…

Q: Prove that in a one-dimensional elastic collision of two equal masses, the particles simply exchange…

A: Let two equal masses 'm' moving at a velocity v1 and v2 in the opposite direction. Applying momentum…

Q: Ball having mass 5.5kg and velocity 7.6m/s travels to the east. Impulse given at point O, makes it…

A: Mass of ball (m) = 5.5 kg Initial velocity (u) = 7.6 ms i^ final velocity (v) = 4.8 ms j^

Q: A particle with massmAis struck head-on by another particle with massmBthat isinitially moving at…

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Q: . Show that the kinetic energy of a particle of mass m is related to the momentum p of that particle…

A: Given data The mass is of the particle is m The velocity of the particle is, v   The momentum of the…

Q: Two objects of masses m1 = 2.0 kg and m2 = 1.3 kg moving towards each other with speeds of 2.2 m/s…

A: given: m1 = 2.0 kg m2 = 1.3 kg v1 = 2.2 m/s v2 = 3.1 m/s

Q: For all the collisions in this lab, what can you conclude about the sum of the changes in momentum…

A: according to law of conservation of momentum total momentum before collision is equal to total…

Q: Why is energy conserved in an elastic collision but not in an inelastic collision?

A: Elastic collision is defined as the one in which there is no loss of kinetic energy in the…

Q: A girl weighing 540 N jumps from a tree, and her center of mass falls a vertical distance of 1.80 m.…

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Q: A nitrogen molecule with a mass of 4.7 x 10-26 kg, moving at 550 m/s, strikes the wall of a…

A: (a) The expression for the impulse is written as, Here, F and Δt represent the force and the…

Q: Two asteroids strike head-on: before the collision, asteroid A (ma = 7.5 × 1012 kg) has velocity 3.3…

A: Let uA and uB be the initial velocity of Asteroid A and B respectively.Let v be the final combined…

Q: The following figure shows two particles of masses m1 and m2, with velocities before the collision…

A: Write the expression of momentum conservation in x-direction. m1v1+m2v2cosθ=m2v2'+m1v1'cosθ…

Q: A rocket takes off from Earth and reaches a speed of 100 m/s in 10.0 s. If the exhaust speed is 1500…

A: A rocket is depleting the mass system. The body of the rocket and the fuel contained in it have an…

Q: Ball having mass 9kg and velocity 7.5m/s travels to the east. Impulse given at point O, makes it…

A: Initial velocity= 7.5 m/s Final Velocity=8.6 m/s mass= 9 Kg