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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Problem 2: An object of mass M is hanging from a spring (with I_o =0 and a spring constant k). There is a constant force from the wind, F_wind, blowing to the right, so the mass is initially at rest, but hanging at an angle Theta from the vertical because of the presence of the wind. Suddenly, spring breaks, and the mass drops under the influence of F_wind (note F_air and F_wind are the same constant vector!) and its weight. If the object (in equilibrium before the spring breaks) is a height H above the ground, how far laterally (in the direction of the wind) does the object hit the ground, L (given theta, k, M, g, H)?
A warehouse worker is pushing a 90.0 kg crate with a horizontal force of 283 N at a speed of v = 0.875 m/s across the warehouse floor. He encounters a rough horizontal section of the floor that is 0.75 m long and where the coefficient of kinetic friction between the crate and floor is 0.354. (a)Determine the magnitude and direction of the net force acting on the crate while it is pushed over the rough section of the floor. (b) Determine the net work done on the crate while it is pushed over the rough section of the floor. (c) Find the speed of the crate when it reaches the end of the rough surface.
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…
A block, initially at rest, has a mass m and sits on a plane inclined at angle theta. It slides a distance d before hitting a spring and compresses the spring by a maximum distance of xf. If the coefficient of kinetic friction between the plane and block is uk, then what is the force constant of the spring?
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The 20 kg block is sliding down an inclined plane at a 30 ° inclined friction and is stopped by a spring with a spring constant k = 2 x 10 ^ 4 N / m. The block shifted to a total distance of 4 m from the point where it was released to the point where it stopped with the resistance of the spring. How many meters is the bow compressed when the block stops? (g = 10 m / s ^ 2)
A warehouse worker is pushing a 90.0 kg crate with a horizontal force of 276N at a speed of v = 0.875m/s across the warehouse floor. He encounters a rough horizontal section of the floor that is 0.75 m long and where the coefficient of kinetic friction between the crate and floor is 0.353. (a) Determine the magnitude and direction of the net force acting on the crate while it is pushed over the rough section of the floor. magnitude Ndirection ---Select--- up down in the same direction as the motion of the crate in the opposite direction as the motion of the crate (b) Determine the net work done on the crate while it is pushed over the rough section of the floor. J (c) Find the speed of the crate when it reaches the end of the rough surface. m/s
An elevator of mass 1000 kg rests at a level 5 m above the base of an elevator shaft. It is raised to 200 m above the base of the shaft, where the cable holding it breaks. The elevator falls freely to the base of the shaft and strikes a strong spring. The spring is designed to bring the elevator to rest and, by means of a catch arrangement, to hold the elevator at the position of maximum spring compression. Assuming the entire process to be frictionless, and taking g = 9.8m/s2. calculate: a. b. C. d. e. The potential energy of the elevator in its initial position relative to the base of the shaft. f. The work done in raising the elevator The potential energy of the elevator in its highest position relative to the base to the shaft The potential energy of the compressed spring The energy of the system consisting of the elevator and spring: i. at the start of the process, ii. When the elevator reaches its maximum height iii. Just before the elevator strikes the spring iv. After the…
a block of mass m is initially at rest at the highest point of an inclined plane, which has a height of 6.8 m and has an angle of 0=16 degrees with respect to the horizontal. After it has been released, you perceived it to be moving at v=0.55 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the block and the plane i sup=0.1 and the coefficient of friction on the horizontal surface its ur=0.2. a)what is the speed of the block, in meters per second, just after it leaves the inclined plane? b)Find the distance, d, in meters.
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The ball launcher in a pinball machine has a spring that has a force constant of 50.0 N/m. The surface on which the ball moves is inclined 10.0° with respect to the horizontal. The spring is initially compressed 5.00 cm. Find the distance along the incline that the ball will go to (from the mean position of the spring), if the friction force = 0.1N. Mass of the ball = 20 gram.
A block of mass m= 2.0 kg is hanged on the spring with a spring constant of k = 1960 N/m. Find the maximum distance the spring is stretched.

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