If an object is in equilibrium, which of the following statements is not true? (a) The speed of the object remains constant. (b) The acceleration of the object is zero. (c) The net force acting on the object is zero. (d) The object must be at rest. (e) The velocity is constant.

Problem 2: In the Figure, three connected blocks are pulled to the right on a horizontal frictionless table by a force of magnitude T3 = 65 N. If m₁ = 12 kg, m₂ = 24 kg, and m3 = 31 kg, calculate: (a) The magnitude of the system's acceleration. Answer: 0.97 m/sec². (b) The tension T₁. Answer: 11.64 N. (c) The tension T₂. Answer: 34.92 N. m1 T₁ mq T2 mg T3

The 1 kg standard body has an acceleration of 2.00 m/s2 at 41° to the positive direction of the x axis. (a) What are the x and y components of the net force on it? x component      N y component      N (b) What is the net force in unit-vector notation? =         N

Two buckets of sand hang from opposite ends of a rope that passes over an ideal pulley. Onebucket is full and weighs 120 N; the other bucket is only partlyfilled and weighs 63 N. (a) Initially, you hold onto the lighterbucket to keep it from moving. What is the tension in the rope?(b) You release the lighter bucket and the heavier one descends.What is the tension in the rope now? (c) Eventually the heavierbucket lands and the two buckets come to rest. What is the tension in the rope now? Show your work and explain

A string is tied to a 3.2 kg object on a table and a 1.5 kg object hanging over a pulley.The coefficient of kinetic friction between the 3.2 kg object and the table is0.30.(a) Draw FBD for each object. D/(b) Calculate the acceleration of each object.(c) Determine the magnitude of the tension in the string.(d) How far will the objects move in 1.2 s if the initial velocity of the 3.2 kg object is1.3 m/s [right]?

An elevator filled with passengers has a mass of 1.70 × 103 kg . (a) The elevator accelerates upward from rest at a rate of 1.20 m/s2 for 1.50 s. Calculate the tension in the cable supporting the elevator. (b) The elevator continues upward at constant velocity for 8.50 s. What is the tension in the cable during this time? (c) The elevator decelerates at a rate of 0.600 m/s2 for 3.00 s. What is the tension in the cable during deceleration? (d) How high has the elevator moved above its original starting point, and what is its final velocity?

Two teams of nine members each engage in a tug of war. Each of the first team’s members has an average mass of 61 kg and exerts an average force of 1359 N horizontally. Each of the second team’s members has an average mass of 73 kg and exerts an average force of 1363 N horizontally.  (a) What is the acceleration of the two teams? Give this as a positive value. (b) What is the tension in the section of rope between the teams?