You and a friend try to move a 50.0 kg box over a smooth floor (no friction). you push down and right with a force 30.0 n, at angle of 20 degrees below the horizontal. your friend ties a rope to the front of the box and pulls with a 25.0 n force, at an angle 30 degrees above the horizontal. what is the acceleration of the box in the horizontal direction? assuming the box does not move in the vertical direction, what is the normal force on the box?

Two conductors, a and b, are each in the shape of a tetrahedron. but of different sizes. they are charged in the following manner: 1. tetrahedron a is charged from an electrostatic generator to charge q. 2. tetrahedron a is briefly touched to tetrahedron b. 3. steps 1 and 2 are repeated until the charge on tetrahedron b reaches a maximum value. if the charge on tetrahedron b was q/4 after the first time it touched tetrahedron a. what is the final charge qbmax on tetrahedron b?