At a construction site, a large rock is being moved by two tractors pulling on the rock as shown. This picture is looking down from above and the ground is flat and horizontal. You can consider the x-direction to be East and the y-direction to be North. The rock is being dragged, and accelerate, in the direction of the red arrow. The tension in Rope 2 is Fro = 451 Newtons and the angle is @ = 34 degrees. The coefficient of kinetic friction along the ground is p; = 0.17 If the acceleration of the rock is a = 0.86 m/s?, what is the mass of the rock? Give your answer in kg to at least three significant digits to avoid being counted off due to rounding. Do not include the units with your answer. Consider an object held stationary by static friction on a rough surface. You push with a force F angled downward at an angle @ as shown to try to start the mass moving. The mass of the object is M and the coefficient of static friction is p,. What is the largest value for the coefficient of friction, ti,,,4., where it will be possible to move the object by pushing at the angle 8? In other words, if you push at the given angle, it will be impossible to move the object with any force if the static friction is pis > tmaz- Let M = 12.1 kg and 8 = 68.1 degrees. Give your answer for 4, to at least three significant digits to avoid being counted off due to rounding. Of course, your answer is unitless. Tl Two carts of mass M and M5 are being pulled up a hill with an angle @ relative to the horizontal. The carts are connected by an ideal (massless) string with tension Ft and the front cart, M, is being pulled up the slope with an external force Fg. The wheels on the carts are good enough that friction can be neglected in this problem. Let: My = 1.34 kg, My = 1.97 kg, and @ = 18 degrees. If Fg = 18.88 N, what is the tension in the string? Give your answer in Newtons to at least three significant figures to avoid being counted off due to rounding. Do not include the units with your answer. String Fg