The observed acceleration of the crate as it slides along the incline is -1.32 m/s².
Acceleration of the crate
The acceleration of the crate is determined from the net force acting on the crate as shown below.
F - Ff = ma
mgsinθ - μmgcosθ = ma
where;
- m is mass of the crate
- θ is angle of inclination
- g is acceleration due to gravity
(80)(9.8)(sin 12) - (0.35)(80)(9.8)cos(12) = 80a
-105.4 = 80a
a = -1.32 m/s²
Thus, the observed acceleration of the crate as it slides along the incline is -1.32 m/s².
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