Answer:
Rms speed of the particle will be 
Explanation:
We have given mass of the air particle 
Gas constant R = 8.314 J/mol-K
Temperature is given T = 
We have to find the root mean square speed of the particle
Which is given by 
So rms speed of the particle will be 
Answer:
Explanation:
The detailed steps and appropriate integration and differentiation is as shown in the attached files.
au = −g − kv2
ad = −g + kv2
Explanation:
Given that,
Charge on a spherical drop of water is 43 pC
The potential at its surface is 540 V
(a) The electric potential on the surface is given by :

r is the radius of the drop

(b) Let R is the radius of the spherical drop, when two such drops of the same charge and radius combine to form a single spherical drop. ATQ,

Now the charge on the new drop is 2q. New potential is given by :

Hence, the radius of the drop is
and the potential at the surface of the new drop is 856.79 V.
Answer:
The acceleration and the distance are 25200 mi/h² and 0.1008 mi.
Explanation:
Given that,
Initial speed = 71 mi/h
Final speed = 50 mi/h
Time = 3.0 s
(a). We need to calculate the acceleration
Using equation of motion


Put the value in the equation


Negative sign shows the deceleration.
(b). We need to calculate the distance
Using equation of motion




Hence, The acceleration and the distance are 25200 mi/h² and 0.1008 mi.
Answer:
<em>The kinetic energy is 600 J</em>
Explanation:
<u>Mechanical Energy</u>
The principle of the conservation of mechanical energy states that the total mechanical energy in a system remains constant as long as the only forces acting are conservative forces.
The mechanical energy is defined as the sum of the potential plus kinetic energies:
E = U + K
Where E is the total mechanical energy, U is the gravitational potential energy and K is the kinetic energy.
Solving for K:
K = E - U
The system described has a total mechanical energy of E=950 J and gravitational potential energy of U=350 J, thus:
K = 950 J - 350 J
K = 600 J
The kinetic energy is 600 J