To solve this problem we will use the kinematic equations of angular motion in relation to those of linear / tangential motion.
We will proceed to find the centripetal acceleration (From the ratio of the radius and angular velocity to the linear velocity) and the tangential acceleration to finally find the total acceleration of the body.
Our data is given as:
The angular speed
The angular acceleration
The distance
The relation between the linear velocity and angular velocity is

Where,
r = Radius
Angular velocity
At the same time we have that the centripetal acceleration is






Now the tangential acceleration is given as,

Here,
Angular acceleration
r = Radius


Finally using the properties of the vectors, we will have that the resulting component of the acceleration would be



Therefore the correct answer is C.
Answer:
Explanation:
a) Change in momentum, Δp = mΔv = m(v - u) = (15 * 10-3) * (90 - 300) = -3.15 kg-m2
b) Acceleration of the bullet, a = (v2 - u2) / 2s = (902 - 3002) / (2 * 0.02) = -2047500 m/s2
So, the bullet is in contact with the plastic for the time,
c) Average force, 
Answer:
Note: Angular momentum is always conserved in a collision.
The initial angular momentum of the system is
L = ( It ) ( ωi )
where It = moment of inertia of the rotating circular disc,
ωi = angular velocity of the rotating circular disc
The final angular momentum is
L = ( It + Ir ) ( ωf )
where ωf is the final angular velocity of the system.
Since the two angular momenta are equal, we see that
( It ) ( ωi ) = ( It + Ir ) ( ωf )
so making ωf the subject of the formula
ωf = [ ( It ) / ( It + Ir ) ] ωi
Explanation:
Answer:

Explanation:
The electric flux through the rectangle is given by

where
E is the electric field strength
A is the area of the rectange
is the angle between the direction of the electric field and of the vector normal to the plane of the rectangle
In this problem we have
E = 125 000 N/C
The area of the rectangle is

and the angle is

so, the electric flux is
