Starting with equations m1v1 =m1v′1 cos θ1+m2v′2 cosθ2 and 0 =m1v′1 sinθ1+m2v′2 sinθ2 for conservation of momentum in the x- and y-directions and assuming that one object is originally stationary, prove that for an elastic collision of two objects of equal masses, 1/ 2mv 12 = 1 /2mv′12+1 /2mv′22+mv′1v′2 cos( θ1−θ2).

Q: An elephant with a mass 2930 kg is running with a speed of 32.3 km/h, and a cheetah with a mass of…

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Q: A particle is moving along the x axis, and the graph shows its momentum p as a function of time t.…

A: Force is given as the rate of change of momentum with time. So, the slope of the graph represents…

Q: ) What is the momentum of a 2000kg car moving at 80 km/h? a) 4.44´105kg·m/s b) 1.60´105kg·m/s c)…

A: 1. Given: Mass of the car=m=2000 kg The velocity of the car: v=80 km/hv=80×1000 m3600 sv=22.22 m/s

Q: In the overhead view of the figure, a 440 g ball with a speed v of 3.8 m/s strikes a wall at an…

A: Given: mas, m = 440 g = 0.44 kg  velocity,u = 3.8 m/s  v = 3.8 m/s  t = 5.8 ms = 0.0058 s θ = 22°

Q: ollowing scenarios describes impulse? A. Two cars collide with one another. B. An airplane…

A: IMPULSE:-  We know that the impulse is defined as the force and change in time.  Impulse = F∆twhere…

Q: The total momentum of a closed system is 750  kgm/s East. The system consists of 40 objects that are…

A: The given system is closed which means there is no external force is acting on the system.

Q: Substitute known quantities and solve for the unknown quantity. We substitute the known values into…

A: Step 1The conservation of momentum equation is given as

Q: When balls collide in a game of pool, the collision is almost perfectly elastic. Let us assume that…

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Q: A shooter of mass m2 = 80 kg shoots a bullet of mass m1 = 3 g in a direction θ = 60.0◦ with respect…

A: Given: Mass of shooter, m2=80 kg Mass of bullet, m1=3 g=0.003 kg Velocity of bullet, v1=500 m/s…

Q: A 0.10-kg ball, traveling horizontally at 30 m/s, strikes a wall and rebounds at 24 m/s. What is the…

A: Givenmass of ball, m = 0.1 kginitial velocity, u = - 30 m/s  ( considering initial direction as…

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Q: m1=5 kg     V1=10 m/s m2=2 kg       V2=4 m/s You are given that the final velocity of particle 2…

A: Given: The mass of the first particle is m1=5 kg. The mass of the second particle is m2=2 kg. The…

Q: A truck has a mass of 800 kg.800 kg. If the velocity of the truck is 30 m/s,30 m/s, what is its…

A: mass of truck=800 kg=m velocity with which truck is moving (v)=30 m/s momentum(p)=mv putting values…

Q: Three carts of masses m1 = 4.50 kg, m2 = 7.50 kg, and m3 = 3.00 kg move on a frictionless,…

A: According to the law of conservation of linear momentum, m1v1+m2v2+m3v3=m1+m2+m3v   The velocity…

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Q: Two masses move towards each other to have a 100% inelastic collision. The first mass (2.550 kg)…

A: Given that:- Mass of M1=2.55kg  Mass of M2=3.4kg

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A: Given data: Mass of running back (m) = 60 kg Initial velocity (V) = 4 m/s, towards North Impulse (I)…

Q: A handball of mass 0.10 kg, traveling horizontally at 30 m/s, strikes a wall and rebounds at 24 m/s.…

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Q: In which case is the momentum of a particle of mass m and velocity v O a. W=Fx (Nm) O b. p-mv…

A: Momentum:  Momentum is given as product of mass and velocity. Momentum is a vector quantity.…

Q: A shooter of mass m2 = 80 kg shoots a bullet of mass m1 = 4 g horizontally, standing on a…

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Q: Object 1 has a mass m1  and a velocity v⃗ 1v→1 = (2.40 m/sm/s )x^.  Object 2 has a mass m2  and a…

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Q: In a perfectly elastic collision, both momentum and kinetic energy are conserved. Consider a…

A: P initial = P final m1v1 + m2v2 = m1vf1 m2v2f

Q: In a rocket test facility, aerospace engineers are testing a rocket’s propulsion ability during a…

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Q: Suppose Cart A has a mass of 6.0 kg. Cart B has mass of 2.0 kg. Before they collide, Cart A has a…

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Q: A soccer ball of mass m, initially at rest, is struck by a cat so that it acquires a speed v. If t…

A: Initial speed of ball, u = 0 m/s (as it is at rest)  Final speed of ball, v Time of collision…

Q: While a disk with a mass of ma=5 kg travels at VA=4m/s speeds in the +x direction, it collides with…

A: Given values: Mass of the disc A, mA=5 kg Initial velocity of disc A, vA=4 m/s Mass of disc B, mB=2…

Q: In the figure, determine the character of the collision. The masses of the blocks, and the…

A: Ans:- Image-1

Q: A football player is running down the field. He has 240 kg•m/s of northward momentum. He experiences…

A: Initial momentum = 280 kg m/s (Northward) Impulse = 80 Ns (Southward)  To find = Final momentum

Q: Find the total momentum of the closed system, in order to do so you need to find the momentum of…

A: Object 1: Mass = 15 kg v = 3 m/s Object 2: Mass= 16 kg v = 2m/s

Q: system consists of three particles with these masses and velocities: mass 3.00 kg, moving north at…

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Q: Consider the collision of a moving puck with a second, initially stationary puck, as shown in the…

A: Let us redefine the variablesmass of puck 1, m1 = 0.50 kgmass of puck 2, m2 = 0.60 kginitial…

Q: A 0.10-kg ball, traveling horizontally at 25 m/s, strikes a wall and rebounds at 19 m/s. What is the…

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Q: Two people, each with a mass of 85.00 kg, are paddling their canoe downstream with a speed of 1.520…

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Q: Question is in the picture. A greater than B less than C equal to

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Q: For the situation in the figure below, use momentum conservation to determine (a) the magnitude and…

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Q: Two arrows are fired simultaneously with the same speed of 30.0 m/s. Each arrow has a mass of 0.100O…

A: Given Speed = 30m/s Mass = 0.100 kg

Q: Consider the collision of a moving puck with a second, initially stationary puck, as shown in the…

A: Given: m1=0.50 kgm2=0.60 kgv1=1.5 m/sv1f=0.5 m/sθ1=50°

Q: In a Little League baseball game, the 0.3 kg ball enters the strike zone with a speed of 10.0 m/s…

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Q: A baseball of mass 130 g is thrown at a target. The ball strikes with a velocity of 60 m/s and…

A: According to impulse-momentum theorem, the impulse experienced by the ball will be equal to the…

Q: A ball of mass m = 0.25 kg rolling to the right at 1.8 m/s strikes a wall and rebounds in the…

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Q: Suppose Cart A has a mass of 6.0 kg. Cart B has mass of 2.0 kg. Before they collide, Cart A has a…

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Q: A very massive object traveling at 10 m/s strikes a light object, initially at rest, and the light…

A: GivenInitial velocity of massive object um = 10 m/sInitial velocity of lighter object uL = 0 m/s

Q: A small marble (MA = 13.0 g ) slides to the left with a velocity of magnitude 20.0 cm/s on the…

A: mass of small marble = 13 g initial velocity of small marble = 20 cm/s towards left mass of larger…

Q: A cheering squad is made up of four members: Ping of 75kg moving 3.0 m/s, North; Manny of mass 70kg…

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Q: If a particle is acted on by an external force F = (0.57 N/s²) t² î + (0.82 N/s) t ĵ , and it has an…

A: According to Newton’s 2nd law of motion, Here, dp/dt represents the rate of change of momentum. On…