Answer:
ω, the angular frequency of the source equals 377 rad/s
Explanation:
From the question, V(t) = V cosωt.
Now, ω = the angular frequency of the sinusoidal wave is given by
ω = 2πf where f = the frequency of the source = 60 Hz
So, the angular frequency of the source ,ω = 2π × the frequency of the source.
So, ω = 2πf
ω = 2π × 60 Hz
ω = 120π rad/s
ω = 376.99 rad/s
ω ≅ 377 rad/s
So, ω, the angular frequency of the source equals 377 rad/s
The plastic rod is made of insulator (plastic), so it does not allow charges moving from one sphere to another. This means that all the electrons given to sphere A will remain on sphere A.
The number of electrons initially given to sphere A is

, and since the charge of 1 electron is

, the net charge left on sphere A after the removal of the rod will be
Answer:
Explanation:
mass of first marble 
Initial velocity of the first marble
considering right side as positive
Mass of second marble
After collision first marble moves to the left with a velocity of 18 cm/s
i.e. 
considering
be the velocity of second marble after collision
The Coefficient of restitution is 1 for an elastic collision

Putting values

So, the velocity of the second marble is 22.5 m/s to the right after the collision
(b)Initial kinetic energy =
Final kinetic energy=

Answer:
b, the fastest the car has traveled out of those options is 4-5 seconds.
Explanation:
Answer:
The torque needed is 46.08 Nm
Explanation:
Given;
angular velocity, ω = 12 rad/s
time of motion, t = 0.5 s
length of the baton, r = 0.8 m
mass of the baton, 0.5 kg
The torque needed to reach the angular velocity is given by;
τ = F x r
where;
F is the centripetal force of the baton
r is the length of the baton = radius of the circular motion of the baton

Torque is given by;

Therefore, the torque needed is 46.08 Nm