Answer:
The magnitude of the acceleration of the box is .
Explanation:
The free body diagram of the crate is included as attachment, whose equations of equilibrium are described below:
From second equation of equilibrium we find an expression for the normal force and find the respective value:
Lastly, the acceleration experimented by the crate during pushing is cleared in the first equation of equilibrium and consequently calculated:
The magnitude of the acceleration of the box is .
The period of the pendulum is directly proportional to the square root of the length of the pendulum
Explanation:
The period of a simple pendulum is given by the equation
where
T is the period
L is the length of the pendulum
g is the acceleration of gravity
From the equation, we see that when the length of the pendulum increases, the period of the pendulum increases as the square root of L, . This means that
The period of the pendulum is directly proportional to the square root of the length of the pendulum
From the equation, we also notice that the period of a pendulum does not depend on its mass.
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