In a 300-rough incline, a 1.25 kg block is initially at rest beside a spring that is compressed by 24 cm as shown in the figure below. The spring has a spring constant of 180 N/m and the coefficient of sliding friction between the incline and the block is 0.23. When the spring is released, (a) how far up the incline (with respect to its initial position) will the block slide before sliding back? (b) What is the speed of the block at the instant it is 0.34 m from its initial position? ww 30⁰

In a 300-rough incline, a 1.25 kg block is initially at rest beside a spring that is compressed by 24 cm as shown in the figure below. The spring has a spring constant of 180 N/m and the coefficient of sliding friction between the incline and the block is 0.23. When the spring is released, (a) how far up the incline (with respect to its initial position) will the block slide before sliding back? (b) What is the speed of the block at the instant it is 0.34 m from its initial position? ww 30⁰

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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In a 30°-rough incline, a 1.25 kg block is initially at rest beside a spring that is compressed by 24 cm as shown in the figure below. The spring has a spring constant of 180 N/m and the coefficient of sliding friction between the incline and the block is 0.23. When the spring is released,(a) how far up the incline (with respect to itsinitial position) will the block slide before sliding back? (b) What is the speed of the block at the instant it is0.34 m from its initial position?
A crate of mass m1 slides down a well-lubricated hill of height h, with negligible friction. At the bottom, where it is moving horizontally, it collides with another crate, of mass m2, that initially was sitting at rest and that is attached to a wall by a spring of spring constant k that initially is at its equilibrium length. Assume that the spring itself has negligible mass. a)Given that the distance d that the crates compress the spring is d=0.35 m, calculate the speed v2 of the crates immediately after the collision, in units of meters per second. Use the following values:k=950 N/mm1=2.4 kgm2=2.6 kgμ=0.49g=9.8 m/s2 b) What was the speed of the crate of mass m1 just before the collision with the second block, in meters per second? c)What is the height h of the hill, in meters?
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A 54 g ice cube can slide without friction up and down a 30∘ slope. The ice cube is pressed against a spring at the bottom of the slope, compressing the spring 10 cm. The spring constant is 23 N/m . When the ice cube is released, what total distance will it travel up the slope before reversing direction? Δs = 43 cm The ice cube is replaced by a 54 g plastic cube whose coefficient of kinetic friction is 0.20. How far will the plastic cube travel up the slope? ?????