You are asked by your boss at an engineering firm to analyze the following video
ID: 1958321 • Letter: Y
Question
You are asked by your boss at an engineering firm to analyze the following video taken in some road tests of a BMW E39 M5 automobile (on YouTube at http://www.youtube.com/watch?v=0fzf7IK30Z8)Let's assume the driver has a mass of 50 kg, that the car was carrying no other weight (ignore the mass of the fuel, or assume the tank was near empty), and it had not been modified from its standard factory specifications.
Make the direction the car moving the +x-axis. Your boss wants to know the accelerations you can get out of that car and how much force (which kind, by the way?) that it can exert to accelerate itself. We'll pick the 30 to 240 km/hr window for our analysis so we are all looking at the same data.
(a) What was the average acceleration of the car as it was accelerating from 30 to 240 km/hr? m/s2
(b) What was the average net force on the car as it was accelerating from 30 to 240 km/hr? N
Explanation / Answer
Given Mass of driver m = 50 kg Initial velocity of car is vi = 30 km /hr = (30 km /hr)(1000 m / 1 km )( 1 hr / 3600 s ) = 8.33 m/s Final velocity of car vf = 240 km / hr = ( 240 km/hr) ( 1000 m / 1 km)( 1 hr/ 3600 s ) = 66.667 m/s Average acceleration exerted by the car is a = ( v f - vi ) /(tf - ti ) ...... (1) Here initial and final time are not given Plug the values in equation and get the answer. __________________________________________________________ From Newton's second law Average net force on the car is F = ma = ( mcar + 50 kg ) a ...... (2) Here a is calculated from equation (1) and mass of car (mcar ) is not given Plug the values in equation (2) and get the answer.Related Questions
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