Two insulated current-carrying wires (wire 1 and wire 2) are bound together with wire ties to form a two-wire unit. the wires are 2.83 m long and are stretched out horizontally parallel to each other. wire 1 carries a current of i1 = 8.00 a and the other wire carries a current i2 in the opposite direction. the two-wire unit is placed in a uniform magnetic field of magnitude 0.400 t such that the angle between the direction of i1 and the magnetic field is 71.0°. while we don't know the current in wire 2, we do know that it is smaller than the current in wire 1. if the magnitude of the net force experienced by the two-wire unit is 3.50 n, determine the current in wire 2.

Ablock of mass m = 2.5 kg is attached to a spring with spring constant k = 740 n/m. it is initially at rest on an inclined plane that is at an angle of theta= 26 with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is uk = 0.17. in the initial position, where the spring is compressed by a distance of d = 0.16 m, the mass is at its lowest position and the spring is compressed the maximum amount. take the initial gravitational energy of the block as zero. the block's initial mechanical energy is 9.472 j. b. if the spring pushes the block up the incline, what distance l in meters will the block travel before coming to rest? the spring remains attached to both the block and the fixed wall throughout its motion.