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Velocity of a falling object

 
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Aug7-12, 05:39 PM   #1
 

Velocity of a falling object


1. The problem statement, all variables and given/known data


A ball of mass 0.163 kg is dropped from a
height 1.89 m above the ground.
The acceleration of gravity is 9.8 m/s^2
Neglecting air resistance, determine the
speed of the ball when it is at a height 0.997 m
above the ground.
Answer in units of m/s
2. Relevant equations

Gravitational Energy = Kinetic Energy

Mass x Acceleration From Gravity x Height = 1/2 (mass)x(velocity)^2

Acceleration From Gravity x Height = 1/2 (velocity)^2 [mass cancels]



3. The attempt at a solution


(9.8 m/s^2) x (1.89m) = 1/2 (velocity)^2

Velocity^2 = 2[(9.8 m/s^2) x (1.89m)]

Velocity = ~6.08 m/s
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution
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Aug7-12, 06:13 PM   #2
 
Quote by Physics-Pure View Post
Gravitational Energy = Kinetic Energy

Mass x Acceleration From Gravity x Height = 1/2 (mass)x(velocity)^2
This is correct only when one kind of energy is converted entirely into another. Which is not the case in this problem. What equation should you really use?
Aug7-12, 06:20 PM   #3
 
Vf = sqrt 2a delta y?
Aug7-12, 06:34 PM   #4
 

Velocity of a falling object


Quote by Physics-Pure View Post
1. The problem statement, all variables and given/known data


A ball of mass 0.163 kg is dropped from a
height 1.89 m above the ground.
The acceleration of gravity is 9.8 m/s^2
Neglecting air resistance, determine the
speed of the ball when it is at a height 0.997 m
above the ground.

Answer in units of m/s
[]
Check the height.
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