A block of mass m =2.25 kg slides along a horizontalwwwtable with speed vo = 10.00 m/s. At x = 0, it hits a springwith spring constant k = 28.00 N/m, and it also begins toexperience a friction force.AxThe coefficient of friction is given by u = 0.300. How farhas the spring compressed by the time the block firstmomentarily comes to rest?Ax =m

The mass of the block is m = 2.25 kg. The speed with which the block slides along a horizontal table…

A block of mass m = 2.25 kg slides along a horizontal ww table with speed vo = 10.00 m/s. At x = 0, it hits a spring with spring constant k = 28.00 N/m, and it also begins to experience a friction force. Ar The coefficient of friction is given by u = 0.300. How far has the spring compressed by the time the block first momentarily comes to rest? Ax =

A block of mass m = 2.25 kg slides along a horizontal ww table with speed vo = 10.00 m/s. At x = 0, it hits a spring with spring constant k = 28.00 N/m, and it also begins to experience a friction force. Ar The coefficient of friction is given by u = 0.300. How far has the spring compressed by the time the block first momentarily comes to rest? Ax =

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Energy Of A System

Section: Chapter Questions

Problem 61P: An inclined plane of angle = 20.0 has a spring of force constant k = 500 N/m fastened securely at...

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Consider a block of mass 0.200 kg attached to a spring of spring constant 100 N/m. The block is placed on a frictionless table, and the other end of the spring is attached to the wall so that the spring is level with the table. The block is then pushed in so that the spring is compressed by 10.0 cm. Find the speed of the block as it crosses (a) the point when the spring is not stretched, (b) 5.00 cm to the left of point in (a), and (c) 5.00 cm to the right of point in (a).
Check Your Understanding When the length of the spring in Example 8.3 changes from an initial value of 22.0 cm to a final value, the elastic potential energy it contributes changes by 0.0800 J. Find the final length.
Check Your Understanding Find x(t) for the mass-spring system in Example 8.11 ii the particle starts from x0=0 at t=0. what is the particle’s initial velocity?
An inclined plane of angle = 20.0 has a spring of force constant k = 500 N/m fastened securely at the bottom so that the spring is parallel to the surface as shown in Figure P6.61. A block of mass m = 2.50 kg is placed on the plane at a distance d = 0.300 m from the spring. From this position, the block is projected downward toward the spring with speed v = 0.750 m/s. By what distance is the spring compressed when the block momentarily comes to rest?
At 220 m, the bungee jump at the Verzasca Dam in Locarno, Switzerland, is one of the highest jumps on record. The length of the elastic cord, which can be modeled as having negligible mass and obeying Hookes law, has to be precisely tailored to each jumper because the margin of error at the bottom of the dam is less than 10.0 m. Kristin prepares for her jump by first hanging at rest from a 10.0-m length of the cord and is observed to stretch the rope to a total length of 12.5 m. a. What length of cord should Kristin use for her jump to be exactly 220 m? b. What is the maximum acceleration she will experience during her jump?
A block of mass 0.500 kg is pushed against a horizontal spring of negligible mass until the spring is compressed a distance x (Fig. P7.79). The force constant of the spring is 450 N/m. When it is released, the block travels along a frictionless, horizontal surface to point , the bottom of a vertical circular track of radius R = 1.00 m, and continues to move up the track. The blocks speed at the bottom of the track is = 12.0 m/s, and the block experiences an average friction force of 7.00 N while sliding up the track. (a) What is x? (b) If the block were to reach the top of the track, what would be its speed at that point? (c) Does the block actually reach the top of the track, or does it fall off before reaching the top?
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Assume that the force of a bow on an arrow behaves like the spring force. In aiming the arrow, an archer pulls the bow back 50 cm and holds it in position with a force of 150 N. If the mass of the arrow is 50 g and the “spring” is massless, what is the speed of the arrow immediately after it leaves the bow?
Consider a springwith a force constant of 955 N>m. (a) Suppose the mass of theblock is 1.70 kg, but its initial speed can be varied. What initial speedis required to give a maximum spring compression of 4.00 cm?(b) Suppose the initial speed of the block is 1.09 m>s, but its masscan be varied. What mass is required to give a maximum springcompression of 4.00 cm?
In the design of a spring cannon,determine the elastic spring constant, with two decimal places, required to launch a ball of 1.7 kg with an initial velocity of 9.3 m/s, from an initial position in which the spring is offset of 28cm in relation to the equilibrium point
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