For the same case where the spring is disconnected from the block and the block is sliding down the hill, which of the following depend on the mass of the block? [Select all that apply!] The force of friction on the block, fk The acceleration of the block, a | The coefficient of kinetic friction, lk The normal force on the block, The weight of the block, W UThe instantaneous velocity of the block, U

Suppose that down at the docks, Popeye is pulling the objects shown below with a force of 985[N] in the horizontal direction, as shown below. Mass #2 (150.0[kg]) is connected to Mass #1 (50.0[kg]) by a single cable that is passed over an ideal pulley. The coefficient of kinetic friction between Mass #2 and the ledge is 0.254. He successfully moves the objects after they were at rest.  What is the magnitude of the gravitational force on Mass #1? Express your answer in units of Newtons. What is the magnitude of the gravitational force on Mass #2? Express your answer in units of Newtons. What is the magnitude of the tension in the rope connecting the objects? Express your answer in units of Newtons. What is the magnitude of the acceleration of the objects? Express your answer in units of m/s2.

[Fx = N-Wy Wx-for = ma (1) 1. Drag and drop the heads and tails of the vectors to construct the free-body diagram. 2. Note that angles do not need to be exact and magnitudes are not considered. =0 (2) Y 1. An object of mass m is sliding down an incline that makes an angle with the horizontal with an acceleration a. The coefficient of kinetic friction between the block and the incline is Mk. Part 1: Set-up Newton's Second Law Equations Using the diagram in Part 1, set-up Newton's Second Law along the x and y axes in terms of the components of the weight wx and Wy' the normal force N and the friction force f. What is the acceleration along the x direction? What is the acceleration along the y-direction? REMEMBER TO USE THE SUBSCRIPTS FOR W. REMEMBER TO USE THE CORRECT SIGNS ACCORDING TO THE COORDINATE SYSTEM IN PART 1. X f; 153.43 wy; 243.43° Wx; 333 43° ΣΕ, - Part 2: In terms or m, g and 0, the magnitude of the x and y components of weight w are given by: (i) Wx=

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There is a rough plane inclined at an angle θ to the horizontal where tan(θ)=12/5. Assume that μs = μk = 1.6. A rope applies a tension of 9 N to pull a 1.3 kg particle down the incline. What is theparticle’s acceleration? Use g=10m/s/s. (Side note: It will be helpful to draw the relevant free body diagram and to convert the decimal numbers to fractions.)

Find the acceleration of a block, on a “rough” table, connected by a cord passing over & pulley to a second block hanging over the table, as shown in figure below Mass (ma = 2 kg). (mis =6 k), and (ux = 0.300) (wood on wood). Answer : (a =245 m/s*)

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A block of mass m = 3.59kg moves along the x-axis subject to a net force which depends on position. The force is Fner (x) = (-3.92x-1.49x³) î. The block is initially at x = Om moving with velocity = -3.73. (The input below will accept answers with no more than 1% variation from the correct value.) What is the smallest value of x the block reaches? m Hint: Calculate the work done as a function of x, and then solve the resulting quadratic expression for x². What is the block's speed when it reaches x = 1.62m? Ev

Given the following information, how would you find the magnitude of the acceleration of the system. Express youranswer in terms of known quantities such as m1, m2, theta, k, xs, x0, and g. "A ball of mass m1 and block of mass m2 are attached by a lightweight cord that passes over a frictionless pulley of negligible mass, as shown in the figure below. The block lies on a smooth plane inclined at an angle 'theta'. The ball is attached to a spring whose spring constant is k and equilibrium position x0. The spring is then stretched so it measures a length xs. You may use the fact that the force due to a spring is opposite the stretch and equal to −kΔxstretch. The system is then released. You can assume that the acceleration due to gravity is given as g, and use the consistent coordinate system specified for each object."