To calculate the ideal mechanical advantage of a lever divide the input arm by the
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The simple harmonic motion and Hooke's law allows to find the displacement when hanging the mass of 2 kg is:
x = 2.45 m
Simple harmonic motion is a motion where the restoring force is proportional to the displacement.
x = A cos (wt + Ф)
Where x is the displacement, A is the amplitude, w is the angular velocity, t is the time
The angular velocity is
w² = k / m
Where k is the spring constant and m is the mass.
From the graph we see that the oscillatory wave has half a period between the times t₁ = and t₂ =
, therefore the period is:
T = π s.
The angle in a complete oscillation is θ = 2π rad.
The angular kinematics defines the angular velocity with the angle in the unit of time.
w =
w =
w = 2 rad / s
Let's find the spring constant.
k = w² m
Let's calculate.
k = 2² 2
k = 8 N / m
Hooke's law says that the restoring force of a spring is<em> proportional</em> to its displacement.
F = - k x
mg = - k x
x =
x =
x = 2.45 m
In conclusion using simple harmonic motion and Hooke's law we can find the displacement when hanging the 2kg mass is:
x = 2.45 m
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The correct options are:
<span>1) The force between two charged objects increases as the charge of either one of the objects is increased.
4) The force between two charged objects increases as the objects are placed closer together.
In fact, the electrostatic force is given by Coulomb's law:
</span>
<span>where k is the Coulomb's constant, q1 and q2 are the two charges, r is the separation between the two charges. As we can see from the equation, if one of the charges (q1 or q2) is increased, than the force increases as well (so statement 1) is correct), and if the two objects are placed closer together (r is decreased), the force F increases as well (so statement 4 is correct as well)</span>
<span>1) The force between two charged objects increases as the charge of either one of the objects is increased.
4) The force between two charged objects increases as the objects are placed closer together.
In fact, the electrostatic force is given by Coulomb's law:
</span>
<span>where k is the Coulomb's constant, q1 and q2 are the two charges, r is the separation between the two charges. As we can see from the equation, if one of the charges (q1 or q2) is increased, than the force increases as well (so statement 1) is correct), and if the two objects are placed closer together (r is decreased), the force F increases as well (so statement 4 is correct as well)</span>