A 57.0 kg person is riding in a car moving at 19.0 m/s when the car runs into a bridge abutment. (Assume the initial velocity is in the positive direction.)(a)Calculate the average force (in N) on the person if he is stopped by a padded dashboard that compresses an average of 1.00 cm. (Indicate the direction with the sign of your answer.) N(b)Calculate the average force (in N) on the person if he is stopped by an air bag that compresses an average of 15.0 cm. (Indicate the direction with the sign of your answer.) N An object is traveling such that it has a momentum of magnitude 25.6 kg · m/s and a kinetic energy of 221 J. Determine the following.(a)speed of the object in meters per second Expressions for both the kinetic energy and momentum of an object involve mass and speed. See if you can start with expressions for the kinetic energy and momentum, eliminate the mass, and determine an expression in terms of the kinetic energy and momentum that will allow you to determine the speed. m/s(b)mass of the object in kilograms

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Description: A 57.0 kg person is riding in a car moving at 19.0 m/s when the car runs into a bridge abutment. (Assume the initial velocity is in the positive direction.)(a)Calculate the average force (in N) on the person if he is stopped by a padded dashboard tha

The mass of the person, m =57 kg Initial velocity , u = 19 m/s Since the person is stopped, the final velocity, v = 0 m/s The compression of the dashboard, S = 1cm×1m100cm=0.01m The compression of airbag, x = 15cm×1m100cm=0.15m(a) Calculation of time in which the person is stopped by dashboard: The average velocity is given by the following expression, vavg=u+v2 Here, vavg is the average velocity, u is the initial velocity, and v is the final velocity. Substituting and calculating the average velocity:vavg=19+02vavg=9.5 m/s The time will be calculated using the following relation: St=vavg Here, S is the compression, t is the time taken to stop and vavg is the average velocity. substituting the values, St=vavgt=Svavgt=0.01 m9.5 m/st=0.001sCalculation of force if stopped by dashboard: Force is given by the following expression: F=ma Here, F is the force, m is the mass and a is the acceleration. The expression for acceleration is: a=v-ut Here, a is acceleration v is the final velocity , u is the initial velocity and t is time. Substituting this value of acceleration in the formula of Force: F=mv-ut Now substituting the values: F=mv-utF=57 kg×0 m/s-19 m/s0.001 sF=-57(19000)NF=-1.08×106N Hence the average force on the person is -1.08 x 106 N.(b) Calculation of time t when the person is stopped by airbag: The value of the vavg will be the same for this case also. Substituting and calculating the time taken by the same process as done is part (a) xt=vavgt=xvavgt=0.15 m9.5 m/st=0.016sCalculation of force if stopped by airbag: Using the same process as used in part (a). Substituting the values: F=mv-utF=57 kg ×0 m/s-19 m/s0.016 sF=-57(1187.5) NF=-6.77×104N Hence the average force on the person when stopped by the airbag is -6.77 x 104 N.

Answered: A 57.0 kg person is riding in a car…

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 57.0 kg person is riding in a car moving at 19.0 m/s when the car runs into a bridge abutment. (Assume the initial velocity is in the positive direction.)

(a)

Calculate the average force (in N) on the person if he is stopped by a padded dashboard that compresses an average of 1.00 cm. (Indicate the direction with the sign of your answer.)

(b)

Calculate the average force (in N) on the person if he is stopped by an air bag that compresses an average of 15.0 cm. (Indicate the direction with the sign of your answer.)

An object is traveling such that it has a momentum of magnitude 25.6 kg · m/s and a kinetic energy of 221 J. Determine the following.

(a)

speed of the object in meters per second

Expressions for both the kinetic energy and momentum of an object involve mass and speed. See if you can start with expressions for the kinetic energy and momentum, eliminate the mass, and determine an expression in terms of the kinetic energy and momentum that will allow you to determine the speed. m/s

(b)

mass of the object in kilograms

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