Calculating acceleration due to friction without mass?

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SUMMARY

The problem involves calculating the acceleration of a car due to friction when braking, given a speed of 28.4 m/s and a coefficient of friction of 0.719. The acceleration due to gravity is 9.8 m/s². Initially, the participant struggled with the absence of mass in the equation but realized that mass cancels out in the friction formula, allowing for the calculation of acceleration without it. The final understanding confirms that the acceleration can be derived directly from the coefficient of friction and gravity.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concept of friction and its coefficient
  • Basic algebra for manipulating equations
  • Knowledge of kinematic equations
NEXT STEPS
  • Study the derivation of acceleration due to friction using the formula a = μg
  • Learn about the implications of mass in friction calculations
  • Explore real-world applications of friction in automotive braking systems
  • Investigate the effects of different coefficients of friction on vehicle dynamics
USEFUL FOR

Students in physics or engineering, automotive engineers, and anyone interested in understanding vehicle dynamics and braking mechanics.

Amber_
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Homework Statement



Here is the problem:
You are driving at the speed of 28.4 m/s
(63.5426 mph) when suddenly the car in
front of you (previously traveling at the same
speed) brakes. Considering an average human
reaction, you press your brakes 0.505 s later.
Assume that the brakes on both cars are fully
engaged and that the coefficient of friction is
0.719 between both cars and the road.
The acceleration of gravity is 9.8 m/s 2

Calculate the acceleration of the car in front
of you when it brakes.
Answer in units of m/s 2

Note: this is the first part of a multipart question.

2. The attempt at a solution

I know exactly how I would do this problem, were the masses of the cars given. I honestly have no idea how you would get the acceleration due to friction without knowing the mass of the car. Is it possible that this is a mistake in the problem, or am I missing something?
 
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Amber_ said:
I know exactly how I would do this problem, were the masses of the cars given.

Ok, I give you the mass. It is equal to m.
 
I thought of that, but . . . oh. Oops.

Clearly I didn't think hard enough before because I didn't realize the m's should cancel out. Okay I get it now! Thanks for that.
 

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