How fast must a 70 kg student be running to have a kinetic energy of 568 J?!
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The gravitational force between <em>m₁</em> and <em>m₂</em> has magnitude
while the gravitational force between <em>m₁</em> and <em>m₃</em> has magnitude
where <em>x</em> is measured in m.
The mass <em>m₁</em> is attracted to <em>m₂</em> in one direction, and attracted to <em>m₃</em> in the opposite direction such that <em>m₁</em> in equilibrium. So by Newton's second law, we have
Solve for <em>x</em> :
The solution with the negative square root is negative, so we throw it out. The other is the one we want,
Answer:
Time period for Simple pendulum,
Explanation:
The Simple Pendulum
Consider a small bob of mass is tied to extensible string of length
that is fixed to rigid support. The bob is oscillating in the plane about verticle.
Let is the angle made by string with vertical during oscillation.
Vertical component of the force on bob,
Negative sign shows that its opposing the motion of bob.
Taking as very small angle then,
Let is the displacement made by bob from its mean position ,
then,
so, ........(1)
Since, pendulum is in hormonic motion,
as we know,
where is the constant and
.........(2)
From equation (1) and (2)
Since,