An amusement park ride is designed to move passengers up and down, including downward 1n acceleration greater than g (so-called \"negative g's\"). This is done by having cables connected to both the top and bottom of the ride that work together to give the desired upwards and downwards accelerations. Define upwards as the positive y direction. Let the mass of the ride, including passengers, be M = 1,407 kg. During the ride the acceleration is downwards: a = - 1.27 g (where, of course, g = 9.8 m/s?) If the tension in Cable 1 is Fyq = 0.57 M g (M g is, of course, the weight of the ride meaning the force of gravity on the ride) what is the magnitude of the tension in Cable 2? Give your answer in Newtons to at least three significant digit to avoid being counted off due to rounding. Do not include the units (N) in your answer. Cable 1 Cable 2 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 = 484 Newtons and the angle is @ = 29 degrees. The coefficient of kinetic friction along the ground is p; = 0.18 If the acceleration of the rock is a = 1.77 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 . What is the largest value for the coefficient of friction, (4., Where it will be possible to move the object by pushing at the angle 6? 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 fts > fmaz- Let M = 21.9 kg and 8 = 53.7 degrees. Give your answer for fi,,,, to at least three significant digits to avoid being counted off due to rounding. Of course, your answer is unitless. gl Two carts of mass My and M, 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, My, is being pulled up the slope with an external force F. The wheels on the carts are good enough that friction can be neglected in this problem. Let: My = 1.48 kg, M, = 1.71 kg, and @ = 14 degrees. If Fe = 17.06 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