6 7and 8 please Future Space stations will create artificial gravity by rotating

Question

6 7and 8 please

Future Space stations will create artificial gravity by rotating. Consider a cylindrical space station of 390 m diameter rotating about it axis. Astronauts walk on the inside surface of the station. What rotation period will provide "normal" gravity? A 13-kg box must be slid across the floor. If the coefficient of static friction between the box and floor is 0.37, what is the minimum force needed to state the box moving from rest? The terminal speed of a sky diver is 160 km/h in the spread-eagle position and 310 km/h in the nosedive position. Assuming that the diver's grade coefficient C does not change from one position to the other, find the ratio of the effective cross-sectional area A in the slower position to that in the faster position. A block slides down a frictionless inclined ramp. If the ramp angle is 17.0 degree and the length of it is 30.0 m, find the speed of the block as it reaches the end of the ramp, assuming it started sliding from rest at the top. The position of an object as a function of times is given by r = bt^3 i + ct j. If b = 2.1 m/s^3 and c = 1.7 m/s^2, what is the force magnitude and direction on a 2.0 kg object when t = 1.51 s? A box is hanging suspended from 2 ropes as shown in the figure. What are the magnitudes of the tension force of each rope acting on the box? (Assume T2 is perfectly horizontal, which really cannot happen physically)

Explanation / Answer

7) Given that mu_s = 0.37

applied force is opposite to the static frictional force ,hence to start the box moving
magnitude of minimum force required is equal to static frictional force

F_min = static frictional force = mu_s*m*g = 0.37*13*9.8 = 47.138 N

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