Solved: An 18-kg child is riding in a child-restraint

Chapter 4, Problem 97GP

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QUESTION:

An 18-kg child is riding in a child-restraint chair, securely fastened to the seat of a car (Fig. 4–77). Assume the car has speed when it hits a tree and is brought to rest in 0.20 s. Assuming constant deceleration during the collision, estimate the net horizontal force F that the straps of the restraint chair exert on the child to hold her in the chair.

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QUESTION:

An 18-kg child is riding in a child-restraint chair, securely fastened to the seat of a car (Fig. 4–77). Assume the car has speed when it hits a tree and is brought to rest in 0.20 s. Assuming constant deceleration during the collision, estimate the net horizontal force F that the straps of the restraint chair exert on the child to hold her in the chair.

ANSWER:

Step 1 of 2

Given:

Mass of the child:

Initial velocity of the car:  

Final velocity of the car:  s

Time taken for the car to stop:

We know that the force applied is :

Finding the deceleration:

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