We may be positive that an object is in mechanical equilibrium if it is not rotating and experiences no acceleration.
<h3>What is
mechanical equilibrium?</h3>
There are numerous other definitions for mechanical equilibrium that are all mathematically comparable in addition to the definition in terms of force. A system is in equilibrium in terms of momentum if the component motions are all constant. If velocity is constant, the system is in equilibrium in terms of velocity. When an item is in a state of rotational mechanical equilibrium, its angular momentum is preserved and its net torque is zero. More generally, equilibrium is reached in conservative systems at a configuration space location where the gradient of the potential energy concerning the generalized coordinates is zero.
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The work W done by the electric field in moving the proton is equal to the difference in electric potential energy of the proton between its initial location and its final location, therefore:
![W= qV_i - qV_f](https://tex.z-dn.net/?f=W%3D%20qV_i%20-%20qV_f)
where q is the charge of the proton,
![q=1 e = 1.6\cdot 10^{-19}C](https://tex.z-dn.net/?f=q%3D1%20e%20%3D%201.6%5Ccdot%2010%5E%7B-19%7DC)
, with
![e](https://tex.z-dn.net/?f=e)
being the elementary charge, and
![V_i = +125 V](https://tex.z-dn.net/?f=V_i%20%3D%20%2B125%20V)
and
![V_f = -55 V](https://tex.z-dn.net/?f=V_f%20%3D%20-55%20V)
are the initial and final voltage.
Substituting, we get (in electronvolts):
![W=e(125 V-(-55 V))=180 eV](https://tex.z-dn.net/?f=W%3De%28125%20V-%28-55%20V%29%29%3D180%20eV)
and in Joule:
The average speed would be 33.29m/s.The average speed equation is:
![Average speed = \frac{total distance}{total time}](https://tex.z-dn.net/?f=Average%20speed%20%3D%20%20%5Cfrac%7Btotal%20distance%7D%7Btotal%20time%7D%20)
First you will need to solve for the distance you traveled in each scenario. So we can solve this by getting the product of speed and the time traveled.
Scenario 1:
Speed = 29m/s
Time = 120s
Distance = ?
Distance = (29m/s)(120s)
= 3,480m
Scenario 2
Speed = 35m/s
Time = 300s
Distance = ?
Distance = (35m/s)(300s)
= 10,500m
Now that you have the distance of both, you can solve for your average speed.
Answer: c. 1.3 m/s^2
Explanation:
When he is at rest, is weight can be calculated as:
W = g*m
where:
m = mass of the man
g = gravitational acceleration = 9.8m/s^2
We know that at rest his weight is W = 824N, then we have:
824N = m*9.8m/s^2
824N/(9.8m/s^2) = m = 84.1 kg
Now, when the elevators moves up with an acceleration a, the acceleration that the man inside fells down is g + a.
Then the new weight is calculated as:
W = m*(g + a)
and we know that in this case:
W = 932N
g = 9.8m/s^2
m = 84.1 kg
Then we can find the value of a if we solve:
932N = 84.1kg*(9.8m/s^2 + a)
932N/84.1kg = 11.1 m/s^2 = 9.8m/s^2 + a
11.1 m/s^2 - 9.8m/s^2 = a = 1.3 m/s^2
The correct option is C
The total resistance of a series circuit is equal to the sum of individual resistances. Voltage applied to a series circuit is equal to the sum of the individual voltage drops. The voltage drop across a resistor in a series circuit is directly proportional to the size of the resistor.
If you know the total current and the voltage across the whole circuit, you can find the total resistance using Ohm's Law: R = V / I. For example, a parallel circuit has a voltage of 9 volts and total current of 3 amps. The total resistance RT = 9 volts / 3 amps = 3 Ω
Current: The total circuit current is equal to the sum of the individual branch currents. Resistance: Individual resistances diminish to equal a smaller total resistance rather than add to make the total.