A. A 0.1 kg rock is attached to a 2.0 m long string and swung in a horizontal circle at a speed of 30.0 m/s. Find the tension in the string. (Neglect the effect of gravity.)

are 1.0 m and 1.3 m in length. Calculate the tension in each rope. 27 A ship is sailing at 20 km/h N30°E when it encounters a current of 6 km/h from the south. A passenger is walking across the deck with a speed of 5 km/h at an angle of 40° to the starboard (right) of the bow (front) of the ship. What is the velocity of the passenger relative to the ocean floor? canal barge is being pulled along a

A stone that is connected to a string is being rotated horizontally. The stone completes one full circle every second; and the magnitude of the tension in the string is F-. What happens to the tension in the string if the stone speeds up such that it goes around the circle twice every second while the radius stays the same. O The magnitude of the tension increases to twice its original value. O The magnitude of the tension increases to four times its original value. O The magnitude of the tension reduces to one-fourth of its original value. O The magnitude of the tension is unchanged. O The magnitude of the tension reduces to half of its original value.

At t = 0, a cart of mass m = 5 kg starts rolling down an incline, making an angle α = 20o with the horizontal. Initially the cart rolls down with no friction, but after traveling a distance of ∆ = 10 m it encounters a rough surface, where the coefficient of friction is k = 0.45. Find the acceleration of the cart along the incline (positive direction is downhill) after it encounters the rough surface.   A.9.8 m/s2  B.9.2 m/s2  C.7.7 m/s2  D.3.6 m/s2  E.3.4 m/s2  F.-0.8 m/s2