One end of a horizontal spring with force constant 130.0 n/m is attached to a vertical wall. a 4.00-kg block sitting on the floor is placed against the spring. the coefficient of kinetic friction between the block and the floor is μk = 0.400. you apply a constant force f, which is directed toward the wall. f has magnitude of 82.0 n and is directed toward the wall. at the instant that the spring is compressed 80.0 cm, what are(a) the speed of the block, and(b) the magnitude and direction of the block's acceleration?

Answer

given,

force constant = 130 N/m

mass of block = 4 kg

μk = 0.400

magnitude of force = 82 N

compressed to the distance of (x) = 80 cm = 0.8 m

using conservation of energy

v=2.39 m/s

Net force on the block is

            = 82 - 0.4×4×9.8 - 130×0.8

            = -37.68 N

Acceleration of the block

a =9.42 m/s²

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: