Two objects that are constrained to move in the xy-plane undergo a collision. Ob

Question

Two objects that are constrained to move in the xy-plane undergo a collision. Object 1 has a mass 2.3 kg and its initial momentum just before the collision has the x- and y-component 15kg*m/s and -3.9 kg*m/s, respectively Object 2 has mass 13.1 kg and the x- and y-component of its initial momentum are 4.1 kg*m/s and 5.9 kg*m/s. Immediately after the collision the x and y component of object 1's final momentum are 13.8 kg*m/s and 3.4 kg*m/s. The x-component of the total initial momentum of the system is 19.1 kg*m/s and the y-component of the total initial momentum of the system is 2.

Calculate the x-component and y-component of the final momentum of Object 2 in units of kg*m/s.

Calculate the final total kinetic energy of the two objects, in joules.

Calculate the change in the internal energy of the two objects, in joules.

Explanation / Answer

P0x = 15 + 4.1 = 19.1 kg m/s

P0y = -3.9 +5.9 = 2 kg m/s

applying momentum conseravtion,

19.1 = 13.8 + px

px = 5.3 kg m/s .........Ans

2 = 3.4 + py

py = -1.4 kg m/s ........Ans

KE = p^2 / 2 m

KEf = (13.8^2 + 3.4^2) / 2.3 + (5.3^3 + 1.4^2)/13.1

KEf = 90.1 J ........Ans

Ke i = 108.4 J ....Ans

change in energy = KEi - KEf = 18.3 J .....Ans

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