Force given mass and acceleration problem

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SUMMARY

The discussion centers on calculating the force experienced by a passenger in a Ferrari accelerating from 0 to 100 km/hr in 4.80 seconds. The correct acceleration is determined using the formula a = v/t, resulting in an acceleration of 5.56 m/s² after converting the speed from km/hr to m/s. The force is then calculated using F = ma, yielding a force of 378.24 Newtons for a passenger with a mass of 68 kg. The error in the initial calculation stemmed from not converting the velocity to the correct units.

PREREQUISITES
  • Understanding of Newton's Second Law (F=ma)
  • Knowledge of unit conversion from km/hr to m/s
  • Basic algebra for solving equations
  • Familiarity with acceleration calculations
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  • Learn about unit conversion techniques, specifically for speed measurements
  • Study detailed applications of Newton's Second Law in various scenarios
  • Explore kinematic equations for motion analysis
  • Practice problems involving force and acceleration in real-world contexts
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of force calculations in motion problems.

tworley1977
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Homework Statement


Here is the problems exactly as written in the homework:

A Ferrari accelerates from 0 to 100km/hr in 4.80 secs. What force (in Newtons) does a passenger with a mass of 68kg experience during the acceleration?


Homework Equations


a = v/t
F=ma


The Attempt at a Solution


Ok...seems pretty straightforward, but the answer I come up with comes back as wrong. Can anyone point out my error?

a=100/4.8=20.83km/hr

F=68*20.8 = 1416.4kg*km/hr = 1416.4N
 
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Nevermind. I see what I over looked. Forgot to convert km/hr to m/s.
 

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