Question
Emily holds a banana of mass m over the edge of a bridge of height h. She drops the banana and it falls to the river below. Use conservation of energy to find the speed of the banana just before hitting the water.Express your answer in terms of some or all of the variables h and m, and appropriate constants.
Answers
bobpursley
mgh=1/2 m v^2
solve for v
solve for v
Anonymous
2gh
Natalia
v= the square root of 2gh
Anonymous
V^2/g = h
Anonymous
GPE=mgh & KE=1/2m(v^2)
-In this equation potential becomes kinetic-
mgh=1/2m(v^2) [divide both sides by mass so it cancels]
->
mh=1/2(v^2) [divide both sides by 0.5 which is 1/2 so it cancels]
->
2mh=v^2 [find root of both sides so square of v cancels]
->
Square root of (2mh) = velocity
-In this equation potential becomes kinetic-
mgh=1/2m(v^2) [divide both sides by mass so it cancels]
->
mh=1/2(v^2) [divide both sides by 0.5 which is 1/2 so it cancels]
->
2mh=v^2 [find root of both sides so square of v cancels]
->
Square root of (2mh) = velocity