(a) The angular position of the door is described by
![\theta(t)=5+10t+2t^2 [rad]](https://tex.z-dn.net/?f=%5Ctheta%28t%29%3D5%2B10t%2B2t%5E2%20%5Brad%5D)
The angular velocity is given by the derivative of the angular position:
![\omega(t)=10+4t [rad/s]](https://tex.z-dn.net/?f=%5Comega%28t%29%3D10%2B4t%20%5Brad%2Fs%5D)
While the angular acceleration is given by the derivative of the angular velocity:
![\alpha(t)=4 [rad/s^2]](https://tex.z-dn.net/?f=%5Calpha%28t%29%3D4%20%5Brad%2Fs%5E2%5D)
We want to find the values of these quantities at time t=3.00 s, so we must substitute t=3.00 s into the expressions for

:



(b) The door starts from rest, so its initial angular velocity is

, and it reaches a final angular velocity of

with an angular acceleration of

. We can find the angular distance covered by the door by using the following relationship:

from which we find
Here, Force = m * a = 34 * 2 = 68 N
According to Newton's third law, fence will exert equal and opposite force (by direction) on the robot.
In short, Your Answer would be Option C) <span>The robot exerts a force of 68 N on the fence; the fence exerts a force of 68 N on the robot.
Hope this helps!</span>
<h2>
Answer</h2>
The answer to this question is <u>331.59 J</u>
<h2>
Explanation</h2>
As we know Specifi Heat formula that

The mass is = 72 g (72/1000 = 0.072 kg)


Put the values in formula


So, absorbed heat will be 331.59 J
Answer:
The magnitude of the rate of change of the flux through the coil is 2.82 x 10⁻³ T.m²/s
Explanation:
Given;
radius of coil, r = 8 cm = 0.08 m
number of turns of the coil, N = 110 turns
the induced emf through the coil, E = -310mV
The induced emf through the coil is given by;

Where;
dФ/dt is the magnitude of the rate of change of the flux through the coil

Therefore, the magnitude of the rate of change of the flux through the coil is 2.82 x 10⁻³ T.m²/s
Answer:
A. all the atoms have the same average speed
Explanation:
The entropy of the two monatomic gases (helium and neon) depends on temperature of the sealed container. Increase in temperature of the container increases the speed of the atoms while decrease in temperature of the container decreases the speed of the atoms. Also at constant temperature, all the gaseous atoms will move at a constant speed (that is randomly or no direction).
Since, the sealed container was brought into thermal equilibrium, meaning that the temperature of the system is constant. Thus, all the atoms have the same average speed.