Maximum Height with Different Mass and Initial Speed · PhysicsBowl 2011 #28

Physics · mechanics

Problem

A person throws an object of mass

m

straight upward with an initial non-zero speed

v

. The object rises to a maximum height

h

above the launch point. The person now throws an object of mass

2m

straight upward with initial speed

2v

. In terms of

h

, to what maximum height does the object of mass

2m

rise above the launch point? Ignore air resistance. (A)

h

(B)

h/4

(C)

4h

(D)

2h

(E)

\sqrt{2}h