The gravitational potential energy is 2526 J
Explanation:
The gravitational potential energy (GPE) of an object is the energy possessed by the object due to its position in the gravitational field. Near the Earth's surface, it can be calculated as

where
m is the mass of the body
is the acceleration of gravity
h is the height of the object
In this problem, we have
m = 84.8 kg
h = 3.04 m
Substituting,

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Answer:
v to the right.
Explanation:
<u>If there is no external force on the system, then the velocity of the center of mass is </u><u>constant</u><u>. </u>
The initial velocity of center of mass is v to the right. Therefore, the velocity of the center of mass at any point is v to the right.
The given condition for a 100% efficient step down transformer is not true.
<h3>
How do Step-down Transformers work?</h3>
Because there are fewer turns in the secondary winding of a step-down transformer, the secondary voltage is lower than the initial voltage. As a result, this kind of transformer is employed to reduce the voltage to the levels intended for the circuit. Almost all power supply incorporate a step-down transformer to keep the operating voltage range of the circuit within acceptable limits. Electronic transformers and distribution systems are often where these transformers are installed (power transformers).
<h3>
What Does a Step-Down Transformer Mean by Power?</h3>
Using the system voltage and current, we can calculate the power of a transformer. Volt-Amps, or VA, is the unit used to measure the power in a transformer (for larger transformers Kilo Volt-Amps, kVA).
Any transformer should, in theory, have constant power on both sides, which implies that the power available on the secondary side of the transformer should match the power available on the primary side. This also applies to step-down transformers. A step-down transformer's secondary side has a lower voltage than its primary side, hence in order to balance the transformer's total power, the secondary current would need to be increased.
<h3>
What is the Step-Down Transformer's Relationship Between Voltage and Current?</h3>
In a step-down transformer, the output current is greater than the input current while the output voltage is lower than the primary voltage.
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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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