An elevator cab and its load have a combined mass of 1600 kg. With a supporting cable, the cab is originally moving downward at 12 m/s, but then brought to rest with constant acceleration in a distance of 42 m. What are the directions of the following forces acting on the elevator cab-load system? Choose from the following directions: (north, south) Tension in the supporting cable: Blank 1 gravitational force: Blank 2 Calculate the magnitude of the gravitational force acting on the elevator cab-load system. Use g = 9.8 m/s^2. Fg - Blank 3 N Calculate the magnitude of the constant acceleration of the system. a = Blank 4 m/s^2 What is the direction of this acceleration? (north or south)? answer: Blank 5 Since the direction of acceleration is opposite that of the direction of the initial velocity, the system is "slowing down" or "speeding up"? answer: Blank 6 Solve for F = Blank 7 N What is the magnitude of the tension force along the supporting cable? tension - Blank 8 N

A body with mass m1 = 3.5 kg is on an inclined plane with an angle of 37º. It is connected by a rope passing over a pulley to another body with mass m2 = 5 kg hanging vertically. The coefficient of friction is μ = 0.2, and the system slides towards m2. Draw the force diagrams for each body and their components.  Calculate the frictional force and the normal force acting on mass m1.  Calculate the system's acceleration and the tension in the rope. If the inclined plane is 60 m long, determine the time it will take for m1 to travel this distance if it started from rest.

Three blocks m₁, m2, and m3 are connected and pulled to the right on a horizontal frictionless table by a horizontal force. If m2 = 4m1, m3 = 5m1, T₁ and T2 are the tensions in the interconnecting cords between m₁ and m2, and m2 and m3 respectively, while the tension in the string pulling on m3 is T3 = 3m1g, 2a. Show a pictorial representation of the problem, along with the free body diagrams involved. 2. eidt et bedbonheutta 2b. Write Newton's 2nd Law for all three masses, and then solve for the acceleration of the system in terms of m₁ and g. boilgge ora exdavid odi sofie a ods 2c. Find T₁ and T2 in terms of m₁ and g. 2090ger no bend intedarfors 3 lo sbadingam-adi bat isild 38 sq ui uiuo vad bloods

Momo with mass m is sliding down an inclined plane that makes an angle Φ relative to the horizontal. The coefficient of kinetic friction between Momo and the inclined plane is μk. Obtain an expression for Momo's acceleration along the incline. Assign a rotated Cartesian plane so that the acceleration is along the positive x-axis and the normal force is along the positive y-axis. The component of the weight parallel to Momo's acceleration is wx = mg ______ Φ The magnitude of the frictional force is f = μk ______ The normal force on Momo is n = mg______Φ With these expressions and applying Newton's second law, we arrive at an expression for Momo's acceleration: a = ____ ( ____  - μk _____)