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

Respuesta :

The option second -4.9 m/s² is correct the negative sign shows that a positive direction "upward along the ramp".

What is mass?

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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