Projectile Motion with Equal Momentum · PhysicsBowl 2010 #25

Physics · mechanics

Problem

Two point objects are launched straight upward with identical linear momentum. Object 1 has mass

M

and reaches a maximum height

H

above the launch point. If object 2 has mass

2M

, what is its maximum attained height above the launch point in terms of

H

? (A)

\frac{H}{4}

(B)

\frac{H}{2}

(C)

H

(D)

2H

(E)

4H