a.) What is the formula for the conservation of mechanical energy and identify e

Question

a.) What is the formula for the conservation of mechanical energy and identify each terms in your formula
b.) A particle is dropped from rest from a tower height of h. What would be the velocity when it hits the ground? a.) What is the formula for the conservation of mechanical energy and identify each terms in your formula
b.) A particle is dropped from rest from a tower height of h. What would be the velocity when it hits the ground?
b.) A particle is dropped from rest from a tower height of h. What would be the velocity when it hits the ground?

Explanation / Answer

A. According to conservatoon of mechanical energy, the sum of total potential energy and kinetic energy at any given point is constant.

MgH1 +0.5* MV1^2= MgH2+ 0.5* M V2^2 (i)

Where

M= mass of the object

g= acceleration due to gravity

H1= initial height

V1= initial velocity

H2= final height

V2= final velocity

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B. Using conservation of energy

V1= 0 ( as the object dropped)

H2= 0 ( at the bottom , height will be zero)

Putting all the values in (i)

mgh= 0.5 mv^2

v= (2gh)^0.5

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Comment in case any doubt..goodluck

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