Two boys are sliding toward each other on a frictionless, ice-covered parking lot. Jacob, mass 45 kg, is gliding to the right at 8.08 m/s, and Ethan, mass 31.0 kg, is gliding to the left at 10.9 m/s along the same line. When they meet, they grab each other and hang on.(a) What is their velocity immediately thereafter?

in the direction of motion of Jacob

Explanation:

Given:

mass  of Jacob,

velocity of Jacob,

mass of Ethan,

velocity of Ethan,

Now using the conservation of linear momentum for the case:

(When the two masses in motion combine to form one after the collision then they will move together in the direction of the greater momentum.)

in the direction of motion of Jacob as it was assumed to be positive.

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