Consider a head-on elastic collision between two objects. object 1, which has mass m1, is initially in motion, and collides head-on with object 2, which has mass m2, and is initially at rest. which of the following statements about the collision are true? a) |p1,final| < |p1,initial|b) if m1 > > m2, then the final speed of object 2 is less than the initial speed of object 1.c) if m2 > > m1, then |delta p1| > |delta p2|d) if m2 > > m1, then the final speed of object 1 is greater than the final speed of object 2.e) p1,initial = p1,final + p2,final

A)

D) If m2 >> m1, then the final speed of object 1 is greater than the final speed of object 2.

E) p1,initial = p1,final + p2,final

Explanation:

As we know that there is no external force on this system so total momentum of the system is always conserved

So we have

so we can say that change in momentum of two object must be same for two objects

now we also know that for elastic collision

so we have

so if we say that

so correct answers are

A)

since first particle transfer its momentum to 2nd particle so here its final momentum must be smaller than its initial momentum

D) If m2 >> m1, then the final speed of object 1 is greater than the final speed of object 2.

E) p1,initial = p1,final + p2,final

the first, second, and fifth options