If the distance between two objects is decreased to 1 10 of the original distance, how will it change the force of attraction be
1 answer:
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Completing the square gives the answer right away.
which indicates a maximum height of 87 when .
The spring constant is
Explanation:
For an object in a simple harmonic motion, the acceleration of the object is related to the displacement by
where
a is the acceleration
is the angular frequency
x is the displacement
The angular frequency is defined as
where
k is the spring constant
m is the mass
Substituting the second equation into the first one, we get
In this problem we have
m = 1 g = 0.001 kg
And at t=0,
x = 43.75 cm
a = -1.754 cm/s
Therefore, we can re-arrange the equation above to find the spring constant:
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