m2 An object of mass m,= 6kg placed on a frictionless, horizontal table is connected to a string that passes over a pulley and then is fastened to a hanging object of mass m2= 8kg as shown in figure. Calculate, (a) the acceleration (a) of the objects (b) the tension (T) in the string. (a) The acceleration of the objects (in m/s3) is (b) The tension in the string (in Newtons) is

A block of mass M is suspended at rest by two strings attached to walls, as shown in the figure. The left string is horizontal with tension force T2 and and the right string with tension force T, makes an angle e with the horizontal. g is the magnitude of the gravitational acceleration. Which of the following statements is true? Select all apply. T2 M O The net force along the y-component is non-zero. O The acceleration along the x-component is zero. O The net force along the x-component is zero. O The acceleration along the y-component is non-zero. O The acceleration along the y-component is zero. O The acceleration along the x-component is non-zero. O The net force along the y-component is zero. O The net force along the x-component is non-zero.

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]?

Two objects with masses of m1 = 3.70 kg and m2 = 5.70 kg are connected by a light string that passes over a frictionless pulley, as in the figure below. Answer parts a-c.

Mass m, = 13.7 kg is on a horizontal surface. Mass m, = 7.49 kg hangs freely on a rope which is attached to the first mass. The coefficient of static friction between m, and the horizontal surface is µs = 0.618, while the coefficient of kinetic friction is µk = 0.121. m1 m2 If the system is in motion with m, moving to the left, then what will be the magnitude of the system's acceleration? Consider the pulley to be massless and frictionless. Submit Answer Incorrect. Tries 2/10 Previous Tries

A 3.00 kg box is suspended from the end of a light vertical rope. A time-dependent force is applied to the upper end of the rope, and the box moves upward with a velocity magnitude that varies in time according to v(t) = (2.00m/s²)t + (0.600m/s³)t² ▼ Part A What is the tension in the rope when the velocity of the box is 9.00 m/s? Express your answer with the appropriate units. T= O μA Value Submit Request Answer Units ? Review | Cons

A particle with mass m = 4.20 kg accelerates according to a = (−3.50 + 2.20) m/s2. (a) What is the net force acting on the particle? (Express your answer in vector form.) F =?N (b) What is the magnitude of this force ?N

An object with mass m₁ = 5.50 kg, rests on a frictionless horizontal table and is connected to a cable that passes over a pulley and is then fastened to a hanging object with mass m₂ = 11.2 kg, as shown in the figure. m₁ m₂ (a) Find the magnitude of the acceleration of each object. a₁ = m/s² m/s² 3₂ = (b) Find the tension in the cable.

A cardboard box rests on the floor of an elevator. The box has a mass m = 2.75 kg and the elevator has an upward acceleration of a.   a.  Write an expression for the sum of the forces acting on the box in the y-direction, ΣFy, given that up is the positive y-direction. Your answer should be in terms of FN, m, and g.  b. Write an expression for the normal force, FN, that the block experiences in terms of the elevator's acceleration, the block's mass, and the acceleration of gravity.  c.  If the elevator's acceleration has a magnitude of g in the downward direction, what would the normal force, FN1 be in Newtons?  d.If the elevator's acceleration had a magnitude of g in the upward direction, what would the normal force FN2 be in Newtons?

A 92.4 kg person is standing inside an elevator. The person is riding the elevator from the 12th floor down to the 3rd floor (a distance of 30.8 m). As the elevator passes the 4th floor it is slows at a rate of 0.620 m/s^2. What is the magnitude of the normal force acting on the person as the elevator passes the 4th floor?