With the battery connected, fill the gap by a slab with the dielectric constant 3.4. if the potential is 30 v , the plate separation is 0.2 mm , and the plate area is 87.4 cm2 , find the electric charge on the plate. the value of the permittivity of free space is 8.8542 × 10−12 c 2 /n · m2 . answer in units of c.

Asher cycles 12 miles in 16 hours. what is his speed?

The man of mass m1 and the woman of mass m2 are standing on opposite ends of the platform of mass m0 which moves with negligible friction and is initially at rest with s = 0. the man and woman begin to approach each other. derive an expression for the displacement s of the platform when the two meet in terms of the displacement x1 of the man relative to the platform.

In a game of pool, ball a is moving with a velocity v0 of magnitude v0 = 15 ft/s when it strikes balls b and c, which are at rest and aligned as shown. knowing that after the collision the three balls move in the directions indicated and assuming frictionless surfaces and perfectly elastic impact (that is, conservation of energy), determine the magnitudes of the velocities va, vb, and vc.