A 14,000 N car starts from rest and rolls down a hill from a height of 10.0 m (see figure). It then moves across a level surface and collides with a light spring-loaded guardrail.(a) Neglecting any losses due to friction, and ignoring the rotational kinetic energy of the wheels, find the maximum distance the spring is compressed. Assume a spring constant of 1.6 x 106 N/m. ____m(b) Calculate the magnitude of the maximum acceleration of the car after contact with the spring, assuming no frictional losses. ____ m/s2(c) If the spring is compressed by only 0.30 m, find the change in the mechanical energy due to friction._____ J Use the worked example above to help you solve this problem. A 14,000 N car starts from rest and rollsdown a hill from a height of 10.0 m (see figure). It then moves across a level surface and collides with alight spring-loaded guardrail.(a) Neglecting any losses due to friction, and ignoring the rotational kinetic energy of the wheels,find the maximum distance the spring is compressed. Assume a spring constant of 1.6 x 10° N/m.m(b) Calculate the magnitude of the maximum acceleration of the car after contact with the spring,assuming no frictional losses.|m/s?(c) If the spring is compressed by only 0.30 m, find the change in the mechanical energy due tofriction.

weight = 14000 N H = 10 m initial potential energy = weight * H = 14000 * 10 = 140000 Joules

Answered: A 14,000 N car starts from rest and…

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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A 14,000 N car starts from rest and rolls down a hill from a height of 10.0 m (see figure). It then moves across a level surface and collides with a light spring-loaded guardrail.

(a) Neglecting any losses due to friction, and ignoring the rotational kinetic energy of the wheels, find the maximum distance the spring is compressed. Assume a spring constant of 1.6 x 10⁶ N/m.

____m

(b) Calculate the magnitude of the maximum acceleration of the car after contact with the spring, assuming no frictional losses.
____ m/s²

(c) If the spring is compressed by only 0.30 m, find the change in the mechanical energy due to friction.
_____ J

Use the worked example above to help you solve this problem. A 14,000 N car starts from rest and rolls
down a hill from a height of 10.0 m (see figure). It then moves across a level surface and collides with a
light spring-loaded guardrail.
(a) Neglecting any losses due to friction, and ignoring the rotational kinetic energy of the wheels,
find the maximum distance the spring is compressed. Assume a spring constant of 1.6 x 10° N/m.
m
(b) Calculate the magnitude of the maximum acceleration of the car after contact with the spring,
assuming no frictional losses.
|m/s?
(c) If the spring is compressed by only 0.30 m, find the change in the mechanical energy due to
friction.

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