Problem 5: A block of mass m = 4.5 kg is attached to a spring with spring constant k = 810N/m. It is initially at rest on an inclined plane that is at an angle of e = 28° with respect to thehorizontal, and the coefficient of kinetic friction between the block and the plane is uz = 0.19. In theinitial position, where the spring is compressed by a distance of d= 0.18 m, the mass is at its lowestposition and the spring is compressed the maximum amount. Take the initial gravitational energy ofthe block as zero.M©theexpertta.comPart (a) What is the block's initial mechanical energy, E, in J?Eo =sin()cos()tan()HOMEE AL 4* 1cotan()asin()acos()5 6atan()acotan()sinh()cosh()tanh()cotanh()+ENDODegrees O RadiansVol BACKSPACE DEL CLEARSubmitHintFeedbackI give up!Part (b) If the spring pushes the block up the incline, what distance, L in meters, will the block travel before coming to rest? The spring remainsattached to both the block and the fixed wall throughout its motion.All content © 2021 Expert TA, LLC

Given:- mass m = 4.5 kg is attached to a spring with spring constant k = 810 N/m. It is initially…

Answered: Problem 5: A block of mass m = 4.5 kg…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Calculate the maximum angle θ, that the block can remain stationary on the slope. These are the quantities: M = 26 kg and μₛ = 0.51.
An inclined plane of angle θhas a spring of force constant k fastened securely at the bottom so that the spring is parallel to the surface as shown. A block of mass m is placed on the plane at a distance d from the spring. From this position, the block is projected downward toward the spring with speed v. Calculate By what distance is the spring compressed when the block momentarily comes to rest? develop an equation for x. x when θ=0° , k = 1 kN/m, m = 5 kg, d = 0.5 m, and v =1 m/s. If we add another spring in series, by what distance is the spring compressed when the block momentarily comes to rest? If we add another spring in parallel, by what distance is the spring compressed when the block momentarily comes to rest?
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A block of mass m is located on an inclined plane that makes an angle with the horizontal. The coefficient of kinetic friction between the block and the inclined plane is μ₁. The block presses against, but is not attached to, a spring with constant k₁. When the spring is at its equilibrium position, the block is at a height h above the ground, as shown. The initial position of the block, from which it is released, is a bit further up the inclined plane such that the spring is initially compressed by Ax. At the bottom of the inclined plane is a horizontal plane with a different coefficient of friction, μ2, for the first distance, d, after which the surface is frictionless, and the equilibrium position of a spring with constant k₂ is encountered. Part (a) Suppose that numeric values are such that block comes to rest before reaching the the ramp. Let x distance traveled from the equilibrium position of the block towards the bottom of the ramp. Enter an expression for x. Part (b) Suppose…
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