Has No US Chapter 07, Problem 30 Go One object is at rest, and another is moving

Question

Has No US Chapter 07, Problem 30 Go One object is at rest, and another is moving. The two collide in a one-dimensional, with a common velocity. Momentumm is conserved. The speed of the object that is moving initially is 23 m/s. The l completely Inelastic collision. In other words, they stick together after the collision and move off masses of the two objects are 2.8 and 7.3 kg. Determine the final for the case (a) when the large-mass object is the one moving inibielly and the case (b) when the small- mass object is the one moving initially, (a) w (b) w- Question Attempts: ? of 3 used SAME POR LATER

Explanation / Answer

The initial speed of the object is vi = 23 m/s

the mass of the larger body m1 = 2.8kg

the mass of the second body m2 = 7.3kg

since the collision is inealstic collision

then from law of conservation of momentum

           m2vi = (m1 + m2) vf

therefore the final speed

       vf = m2vi / (m1 +m2)

           = (7.3kg)(23) / (7.3+2.8)

           = 16.62 m/s

(b) For smaller mass

        vf = m1vi / (m1 + m2)

            = (2.8)(23) / (7.3 + 2.8)

            = 6.376 m/s

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