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

the chart show the masses and velocities of two colliding objects that stick together after a collision.

according to the law of conservation of momentum, the momentum of the object after the collision is  

answer

1,500

kg • m/s.