Two forces act on a 5-kg object sitting on a frictionaless horizontal surface. One force is 30N in the +x- direction and the other 35N in the -x-direction. What is the acceleration of the object?

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To find the acceleration of the object, we need to apply Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.

In this case, we have two forces acting in opposite directions on the object, so we need to calculate the net force. The net force is obtained by subtracting the force in the negative direction from the force in the positive direction.

Given:
Force in the +x-direction (F1) = 30N
Force in the -x-direction (F2) = 35N
Mass of the object (m) = 5 kg

To find the net force, we subtract the force in the -x-direction from the force in the +x-direction:
Net Force = F1 - F2

Substituting the given values, we get:
Net Force = 30N - 35N = -5N

The net force is -5N, indicating that the forces are unbalanced and there is an overall force acting in the negative x-direction.

Now, we can use Newton's second law to find the acceleration.
Net Force = mass * acceleration

Substituting the values, we have:
-5N = 5kg * acceleration

To solve for acceleration, we divide both sides of the equation by the mass:
acceleration = -5N / 5kg

Simplifying, we find:
acceleration = -1 m/s^2

Therefore, the acceleration of the object is -1 m/s^2 in the negative x-direction.