Answer: h= 1.5 m
Explanation:
Use formula for potential Energy
U=mgh
75= (5.0) (10) h
h= 1.5 m
The maximum height reached by the swinging pendulum is 1.5 m.
Mechanical Energy: This is the sum of potential energy and kinetic energy at any point.
The expression for mechanical energy is
M.E = Ek+Ep................. Equation 1
Where Ek = Kinetic energy, Ep = Potential energy.
Note: At maximum height, the Kinetic energy of a swinging pendulum is zero.
I.e Ek = 0 J
Therefore,
M.E = Ep = mgh............. Equation 2
Where m = mass of the pendulum, h = maximum height reached , g = acceleration due to gravity.
make h the subject of the equation
h = M.E/mg................ Equation 2
From the question,
Given: m = 5 kg, M.E = 75 J, g = 10 m/s²
Substitute these values into equation 3
h = 75/(5×10)
h = 75/50
h = 1.5 m
Hence, The maximum height reached by the swinging pendulum is 1.5 m
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