Calculating acceleration due to friction without mass?

AI Thread Summary
To calculate the acceleration of a car due to friction without knowing its mass, it's essential to recognize that mass cancels out in the equations of motion. The problem involves a car braking with a coefficient of friction of 0.719 and gravity at 9.8 m/s². The initial confusion stemmed from the assumption that mass was necessary for the calculation. Once clarified, the acceleration can be determined using the formula a = μg, where μ is the coefficient of friction. Understanding this principle allows for the correct calculation of acceleration due to friction.
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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