A stone is projected vertically upward. The graphs shown above relate to the fol

Question

A stone is projected vertically upward. The graphs shown above relate to the following four questions. M4. (2 pts) The graph that best displays the position of the stone as a function of time is M5. (2 pts) The graph that best displays the stone's potential energy as a function of time is M6. (2 pts) The graph that best displays the kinetic energy of the stone as a function of time is M7. (2 pts) The graph that best displays the total mechanical energy of the stone as a function of time is M8 (5 pts) A brick is lifted to a given height and then dropped to the ground. Next, a second brick, which weighs twice as much as the first, is lifted just as high as the first, and then dropped to the ground. When the second brick strikes the ground its kinetic energy is A) half of the first B) as much as the first C) twice as much as the first D) four times as much as the first E) None of the above

Explanation / Answer

a stone is projected upward

4)

B it gives parabola path H=0.5gt2

7)

total energy is constant so

E

5)

potential energy versus time

C

6)

kinetic energy versus time

B

8)

FOR FIRST BRICK

PE=KE

mgh=0.5mv2

v=sqrt(2gh)

t=v/g

2mgh=0.5*2mv2

v=sqrt(2gh)

t=v/g

both took same time

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