Acharge q = 2.00 μc is placed at the origin in a region where there is already a uniform electric field e⃗ = (100 n/c) iˆ . calculate the flux of the net electric field through a gaussian sphere of radius r = 10.0 cm centered at the origin. (ε 0 = 8.85 × 10-12 c2/n · m2)

The 5-kg cylinder is initially at rest when it is placed in contact with the wall b and the rotor at a. if the rotor always maintains a constant clockwise angular velocity v = 6 rad> s, determine the initial angular acceleration of the cylinder. the coefficient of kinetic friction at the contacting surfaces b and c is mk = 0.2.

During a medieval siege of a castle, the attacking army uses a trebuchet to hurl heavy stones at the castle walls. if the trebuchet launches the stones with a velocity of at an angle of 50.0°, (a) how long does it take the stone to hit the ground? (b) what is the maximum distance that the trebuchet can be from the castle wall to be in range? (c) how high will the stones go? show all your work.

What are the dimensions of the cross section that passes through the points a, f, g, and d?