Mary applies a force of 70 N to push a box with an acceleration of 0.46 m/s". When she increases the pushing force to 81 N, the box's acceleration changes to 0.76 m/s". There is a constant friction force present between the floor and the box. (a) What is the mass of the box in kilograms? 36.66 kg (b) What is the coefficient of kinetic friction between the floor and the box? X What is the relation between friction force and normal force? Did you apply Newton's Second Law to motion in the vertical direction? Additional Materials Reading 0/2.85 Points] DETAILS PREVIOUS ANSWERS OSCOLPHYS2016 6.2.WA.023. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A rotating space station is said to create "artificial gravity"-a loosely-defined term used for an acceleration that would be crudely similar to gravity. The outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. If the space station is 210 m in diameter, what angular velocity would produce an "artificial gravity" of 9.80 m/s at the rim? X Consider the dependence of centripetal acceleration on tangential speed and radius of the circular path. rpm Additional Materials ReadingA man does 4,690 J of work in the process of pushing his 3.00 x 10" kg truck from rest to a speed of v, over a distance of 27.0 m. Neglecting friction between truck and road, determine the following. (a) the speed v (in m/s) m/s (b) the horizontal force exerted on the truck (in N) N Physical Constants Additional Materials Reading /2.95 Points] DETAILS OSCOLPHYS2016ACC 7.6.WA.065. MY NOTES ASK YOUR TEACHER P As shown in the figure below, a 2.25 kg block is released from rest on a ramp of height h. rough patch WWWWWW 15.0 cm When the block is released, it slides without friction to the bottom of the ramp, and then continues across a surface that is frictionless except for a rough patch of width 15.0 cm that has a coefficient of kinetic friction #k = 0.770. Find h (in m) such that the block's speed after crossing the rough patch is 4.10 m/s. (Enter a number.) m