The option second -4.9 m/s² is correct the negative sign shows that a positive direction "upward along the ramp".
A tangible body's mass is the amount of matter it possesses. It's also a metric of inertial, or the resistance to velocity when a net force is exerted.
The question is incomplete.
The complete question is:
A box that has a mass of 80 kg slides down a ramp with a 30-degree angle. The free-body diagram shows the forces acting on the box. Ignoring friction and air resistance, what is the acceleration of the box, to the nearest tenth?
-0.5 m/s²
-4.9 m/s²
-8.5 m/s²
-9.8 m/s²
First we calculate the weight:
W = mg = 80×9.8
W = 784 N
The weight component parallel to the ramp is:
W₁ = Wsin30
W₁ = (784)(sin30)
W₁ = 392 N
From the Newton's second law:
a = F/m
a = 392/80
a = 4.9 m/s²
Thus, the option second -4.9 m/s² is correct the negative sign shows that a positive direction "upward along the ramp".
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