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Get Full Access to Physics For Scientists & Engineers With Modern Physics - 4 Edition - Chapter 14 - Problem 14.90
Get Full Access to Physics For Scientists & Engineers With Modern Physics - 4 Edition - Chapter 14 - Problem 14.90

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# A child of mass m sits on top of a rectangular slab of

ISBN: 9780131495081 132

## Solution for problem 14.90 Chapter 14

Physics for Scientists & Engineers with Modern Physics | 4th Edition

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Problem 14.90

A child of mass m sits on top of a rectangular slab of massM = 35 kg, which in turn rests on the frictionless horizontalfloor at a pizza shop. The slab is attached to a horizontalspring with spring constant k = 430 N/m (the other end isattached to an immovable wall, Fig. 14-45). The coefficientof static friction between the child and the top of the slab isfx = 0.40. The shop owners intention is that, when displacedfrom the equilibrium position and released, the slab andchild (with no slippage between the two) execute SHM withamplitude A = 0.50 m. Should there bea weight restrictionfor this ride? If so,what is it?FIGURE 14-45 90.

Step-by-Step Solution:
Step 1 of 3

• Findpositionwithnoacceleration:x=x +vt 0 • Findvelocitywithconstantacceleration:v=v +at 0 2 • Findpositionwithacceleration:x=x +v t+0at 0 o x b0itself: x=x 0+v 0+½at 2 x 0=x–v t0–½at 2 o v b0itself: x=x0+v 0+½at 2 2 x–x0–½at =v t0 2 v 0=(x–x 0½at )/t o abyitself:

Step 2 of 3

Step 3 of 3

##### ISBN: 9780131495081

This textbook survival guide was created for the textbook: Physics for Scientists & Engineers with Modern Physics, edition: 4. Physics for Scientists & Engineers with Modern Physics was written by and is associated to the ISBN: 9780131495081. This full solution covers the following key subjects: slab, Child, attached, spring, top. This expansive textbook survival guide covers 44 chapters, and 3904 solutions. The full step-by-step solution to problem: 14.90 from chapter: 14 was answered by , our top Physics solution expert on 11/10/17, 05:57PM. Since the solution to 14.90 from 14 chapter was answered, more than 294 students have viewed the full step-by-step answer. The answer to “A child of mass m sits on top of a rectangular slab of massM = 35 kg, which in turn rests on the frictionless horizontalfloor at a pizza shop. The slab is attached to a horizontalspring with spring constant k = 430 N/m (the other end isattached to an immovable wall, Fig. 14-45). The coefficientof static friction between the child and the top of the slab isfx = 0.40. The shop owners intention is that, when displacedfrom the equilibrium position and released, the slab andchild (with no slippage between the two) execute SHM withamplitude A = 0.50 m. Should there bea weight restrictionfor this ride? If so,what is it?FIGURE 14-45 90.” is broken down into a number of easy to follow steps, and 111 words.

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