A 3.5 kg object gains 76 J of potential energy as it is lifted vertically. Find the new height of the object?
2 answers:
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The elastic potential energy (Ep) is given by 
Data:
Ep = 5184 J
k = 16200 N/m
x (displacement) = ?
Solving:
Data:
Ep = 5184 J
k = 16200 N/m
x (displacement) = ?
Solving:
Answer:
h = 157.70 meters
Explanation:
Given the following data;
Mass = 5.5 kg
Gravitational potential energy = 8500 Joules
We know that acceleration due to gravity is equal to 9.8 m/s².
To find the height of the object;
Gravitational potential energy (GPE) is an energy possessed by an object or body due to its position above the earth.
Mathematically, gravitational potential energy is given by the formula;
Where;
G.P.E represents potential energy measured in Joules.
m represents the mass of an object.
g represents acceleration due to gravity measured in meters per seconds square.
h represents the height measured in meters.
Substituting into the formula, we have;
8500 = 5.5*9.8*h
8500 = 53.9h
h = 8500/53.9
h = 157.70 m