Why is the acceleration positive?

AI Thread Summary
The discussion focuses on calculating the acceleration of two blocks sliding down an incline, with specific masses and coefficients of kinetic friction. The initial attempt yielded a negative acceleration, which was incorrect, as the magnitude of acceleration should always be expressed as a positive value. The confusion arose from the setup of the equations, particularly regarding the direction of friction and tension forces. It is emphasized that the question specifically asks for the magnitude, which is inherently positive, regardless of the direction of motion. Understanding this distinction is crucial for correctly interpreting the results in physics problems.
DrunkApple
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Homework Statement


Two blocks attached by a string slide down a 17 incline. The lower block has a mass of 0.2 kg and a coefficient of kinetic friction of 0.2. The upper block has a mass of 0.9 kg and a coefficient of kinetic friction of 0.9. Find the magnitude of the acceleration of the blocks. The acceleration of gravity is 9.81 m/s2 .

Homework Equations


uk = kinetic coefficient
Fx1 = m1a = m1gsin 17 - T - uk1 * m1gcos 17
Fx2 = m2a = m2gsin 17 + T - uk2 * m2gcos17

The Attempt at a Solution


a(m1+m2) = (m1 + m2)gsin 17 - uk1 * m1gcos 17 - uk2 * m2gcos 17
a = -4.3765924 m/s^2

However, the answer was a = 4.3765924 m/s^2.
It seems like the equation was:
Fx1 = m1a = T + uk1 * m1gcos 17 - m1gsin 17
Fx2 = m2a = uk2 * m2gcos 17 - m2gsin 17 - T
The equation was flipped, but I do not understand why. Since blocks are sliding down, shouldn't friction have the negative value because it is going against acceleration??
 
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DrunkApple said:
Find the magnitude of the acceleration of the blocks.

Regardless of whether you've set up your equations correctly or not, (which I haven't checked), this word in red above is important. Your answer is going to be positive, because the question asks you to state the magnitude of the acceleration vector only, not its direction.
 
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