**Hanging a Block**A 3.00 kg block is at rest on a ramp that is angled at 30° above horizontal. The block is attached to a spring that has been stretched from its equilibrium length and has a spring constant of 300 N/m. The coefficient of static friction between the block and the ramp is 0.30, and the block is about to slide down the ramp. Calculate the maximum amount that the spring is stretched from its equilibrium length while the block remains at rest.**Diagram Explanation:**The diagram shows a block of mass \(m\) on a ramp inclined at an angle \(\theta = 30^\circ\). A spring is attached to the block, extending upwards along the ramp. The spring is shown in a compressed state. The forces acting on the block include gravitational force, static frictional force, and the force from the spring. The ramp forms a right triangle with the horizontal base, where the block is placed at the inclined surface.

Given Mass of block is m=3.00 kg Acceleration due to gravity is g=9.80 m/s2 Spring constant is k=…

Answered: 4. Hanging a Block A 3.00 kg block is…

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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4. You are pushing horizontally with a 300 N force on a box that is on an inclined plane as shown. The mass of the box is 30 kg and the incline is at a 25 degree angle off the Fapplied horizontal. The coefficient of kinetic friction between the box and the incline is 0.3, and the coefficient of static friction i 0.4. Assuming the box was at rest at t=0 when the force is initially applied, is the box moving up the ramp, down the ramp, or is it at rest after the force has been applied? 25⁰
2. A 3.00 kg block is placed at the top of a 21.0° rough inclined plane with us = 0.325 and Hk =0 .215 %3D and a length of 1.78 m. a) Draw a free-body diagram of the block. b) Prove that, if released from rest, the block will immediately start sliding. c) Find the magnitude of the block's acceleration. d) Calculate the time the block takes to reach the end of the incline.
At the grocery store you place a pumpkin with a mass of 10.5 lb on the produce spring scale. The spring in the scale operates such that for each 4.7 lbf applied, the spring elongates one inch. If local acceleration of gravity is 32.2 ft/s², what distance, in inches, did the spring elongate? X = i inches
Please answer question 8 parts a and d
1. Two blocks are positioned on surfaces, each inclined at the same angle of 42.8 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 2.07 kg, and the coefficient of kinetic friction for both blocks and inclines is 0.510. Assume static friction has been overcome and that everything can slide. What is must be the mass of the white block if both blocks are to slide to the LEFT at an acceleration of 1.5 m/s^2? 2. Two blocks are positioned on surfaces, each inclined at the same angle of 49.5 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 2.24 kg, and this time there is NO friction. What is must be the mass of the white block if both blocks are to slide to the LEFT at…
Forces: A 7.60×103 kg transport truck is approaching a 20.0° icy hill that has a bridge at the top that is out of service. The driver immediately slams on the brakes and begins to skid up the hill. The coefficient of kinetic friction between the tires and the hill is 0.350. If there is only 131 m from the bottom of the hill to the bridge what maximum speed can the truck initially be going and still avoid an accident?
Suppose a 2.0 kg block is sitting on a surface with which it has a coefficient of static friction of 0.7. A spring with spring constant 33 N/m is attached to the block. You pull slooooowly on the spring, stretching it out. How long does the spring get before the block starts to slide?

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