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After a completely inelastic collision between two objects of equal mass, each having initial speed, $v,$ the two move off together with speed $v / 3 .$ What was the angle between their initial directions?

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$141^{\circ}$

Physics 101 Mechanics

Chapter 9

Linear Momentum

Motion Along a Straight Line

Kinetic Energy

Potential Energy

Energy Conservation

Moment, Impulse, and Collisions

Simon Fraser University

Hope College

University of Winnipeg

McMaster University

Lectures

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In physics, a conservative force is a force that is path-independent, meaning that the total work done along any path in the field is the same. In other words, the work is independent of the path taken. The only force considered in classical physics to be conservative is gravitation.

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In physics, the kinetic energy of an object is the energy which it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes. The same amount of work is done by the body in decelerating from its current speed to a state of rest. The kinetic energy of a rotating object is the sum of the kinetic energies of the object's parts.

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This is what the situation looks like. Initially. You have Ah, particle one coming in with momentum. Envy at the angle. Data one and particle to coming in for the same momentum. But an angle there too. Ah, and finally, they're going off together. So twice The mass of two. M is a mess and velocity V over three. So that Steve Momentum Conservation in exit. Why Directions and the ex direction You have M v times. Signed data one AA minus M v times sign data to is equal to zero. Um Oops. Aah! Sorry. This is, um this is in the UAE. Direction is what I mentor. So eyes equal to zero. Ah, And so, um and so you have signed Ada. One is equal to sign Laida too, right? Um, and some state as between euro 90 degrees Dana one will be equal to data to sew. The angles are equal, and I'm just going to call them data. Okay, um then in the ex direction you have and the co sign data plus M Vico Santa against this to envy consent data. And that's equal to two m V over three. Therefore to envy co sign Tina. The call to two and video over three. The two envies cancel in your left foot. Co sign Data is 1/3. So Dana is co sign in verse are consigned 1/3 giving us 70.5 degrees their fourth. The angle between them, um, is data one plus data, too. Just twice data. It's two times 70.5 equals 1 41 degrees, and that's it.

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