Suppose an object of mass m, initially travelling with a velocity v1, collides with an object of mass m initially at rest. Prove that the angle between the velocity vectors of the two objects of the two particles after the collision is 90 degrees.

Q: The statement, "The total momentum P of an isolated system is a constant" is known as the law of the…

A: Given data: The total momentum of an isolated system is constant.

Q: A particle of mass m1 collides elastically with a stationary particle of mass m2. Find the maximum…

A: Lets say that the mass scatters at an angle θ1 after the collision,then, by the law of conservation…

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

Q: An object of mass M explodes, breaking apart into three smaller objects of mass m1 and m2 and m3.…

A: In the component form, we break the given vectors in vertical and horizontal components. Object M…

Q: Determine the coordinates where a fourth particle of mass m4 = 30gr will have to be placed in the…

A: m1 = 40 g Coordinates of m1 = (3,1) cm m2 = 20 g Coordinates of m2 = (−2,1) cm m3= 10 g Coordinates…

Q: A particle of momentum P1 collides with a particle at rest. After the collision, the particle…

A: Let an angle α from P3 to horizontal direction and then the angle θ-α will be from P4 to horizontal…

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

A:

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: A shell of mass 8.2 kg is fired from a gun of mass 1270 kg, with a horizontal velocity of 427 m/s.…

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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: A sphere A of mass m=2 kg is released from rest in the position shown and strikes the frictionless…

A: Draw the diagram of the problem.

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: An unstable nucleus of mass 1.7 x 10-26 kg, initially atrest at the origin of a coordinate system,…

A: Write the equation of conservation of momentum.

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: The total momentum of a system (before, during and after an interaction) is said to be ‘conserved’

A: Law of conservation of linear momentum:

Q: A space vehicle is traveling at 4300 km/h relative to Earth when the exhausted rocket motor (mass…

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Q: A stationary particle exclude into two particles of masses m1 and m2 which move in opposite…

A: The masses of two stationary particles,

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A: SOlution:

Q: The velocity of the 7m mass particle is Vî, and the m mass particle is at rest. After the collision,…

A:

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: terms

A: Given: Elastic collision of two protons. To find: (a) speed of proton (b) The direction of the…

Q: in a totally inellastic collision between two equal masses, with one initially at rest, show that…

A: Given:Mass of the both the bodies = mInitial velocity of one body = u1Initial velocity of another…

Q: Two masses of 1 kg and 4 kg are moving with equal K.E. The ratio of their linear тотеntum таy be…

A:

Q: Two masses constrained to move in a horizontal plane collide. Given initially m₁ = 85 gms, m₂ = 200…

A:

Q: If the total momentum of a particle system is changing with time then we can state that: a) The…

A: We know that according to Newton's  second law rate of change of momentum of a partice  is called…

Q: An astronaut floating at rest in space has run out of fuel in her jetpack. She realizes that…

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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: smooth sphere A of mass 2m  moving with velocity (3i+4j)ms-1 impinges obliquely on another smooth…

A:

Q: In an elastic collision of particles, one particle is stationary and another one is moving to the…

A: Apply conservation of momentum in the x-direction.…

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: If your momentum is zero, is your kinetic energy necessarily zero also?

A: The momentum is defined as the product of mass and velocity. Since mass cannot be zero, velocity…

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

A:

Q: Two masses constrained to move in a horizontal plane collide. Given initially that m, = 7 kg and m2…

A: Given: The first mass is 7 kg. The second mass is 3 kg. The velocity vector for the first mass is…

Q: t 1 of mass m₁, moving with a velocity v₁ collides with object 2, mass m2 at rest. If object 1 and 2…

A: Required Correct Option

Q: A bullet of mass m=0.500 [g] is fired horizontally with a speed v=10.0 [m/s] into the bob of a…

A: Let speed of pendulum mass after collision is v1  By momentum conservation  Pf = Pi 0.5v1+0.5v/4 =…

Q: The missile then explodes, causing the asteroid to break into two chunks of mass and 02 ), the…

A:

Q: Consider a head-on, elastic collision between twobodies whose masses are m and M, with Itis well…

A: M is moving with a velocity um and m is at rest. In M frame, its own velocity is zero and the…

Q: Momentum, P = (2.0 kg m/sec)î – (7. 0 kg m/sec)ĵ acts on a particle with position vector 7 = (3. 0…

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Q: According to the numerical product between the momentum of the colliding particles, the increase in…

A: Statement is error.

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 bullet of mass m=0.5 g is fired horizontally with a speed v = 10 m/s into the bob of a ballistic…

A:

Q: Three objects of different masses (1 k, 5 kgs and 10 kgs) are all launched at the same  angle (45°),…

A: It is required to discuss the range of some projectile motion. Firstly, three masses of 1kg, 5kg,…

Q: A particle of mass M which was at rest initially, suddenly splits into two smaller particles with…

A: Given data:  Initial mass of particle = M Initial velocity of mass M is v = 0 After split into two…