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?

Well, well, well... It looks like we've got a classic case of "tug of war" going on here! Let's see who wins this hilarious battle.

Since we have two forces that have opposite directions, it's like having a game of 30N versus 35N. In this comical match, the net force is determined by subtracting the smaller force from the larger force. So, get ready for some mathematical acrobatics!

Net force = 35N - 30N = 5N

Now, to find the acceleration, we can use good old Newton's second law: F = ma. In this scenario, we know the net force (5N) and the mass (5 kg). So, let's perform some comedic calculation!

5N = 5kg * a

Divide both sides by 5kg to solve for a, and voila!

a = 1 m/s²

So, my friend, the acceleration of the object is 1 m/s². It seems like the wacky forces cancelled each other out, and things are staying relatively still. Keep an eye out for those sneaky forces, though!

To find the acceleration of the object, we can use 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.

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

First, we need to find the net force acting on the object. Since the two forces are in opposite directions, we can subtract the force in the -x-direction from the force in the +x-direction:

Net force (Fnet) = F1 - F2
= 30 N - 35 N
= -5 N

The net force is -5 N, which means it is acting in the -x direction.

Now, we can calculate the acceleration using Newton's second law:

Fnet = m * a

Substituting the values:

-5 N = 5 kg * a

Simplifying the equation:

a = -5 N / 5 kg
a = -1 m/s^2

The acceleration of the object is -1 m/s^2. The negative sign indicates that the acceleration is in the opposite direction to the positive x-axis, which is the -x direction.

To find the acceleration of the object, you can apply Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically, it can be stated as:

F(net) = m * a

Where:
F(net) is the net force acting on the object,
m is the mass of the object, and
a is the acceleration.

In this problem, we have two forces acting in opposite directions on the object. The net force can be found by subtracting the force in the -x-direction from the force in the +x-direction, since they both act along the x-axis:

F(net) = 30N - 35N
= -5N

Now, we can substitute this net force value into Newton's second law equation along with the mass of the object to solve for its acceleration:

-5N = 5kg * a

Divide both sides of the equation by the mass of the object:

a = (-5N) / (5kg)
= -1 m/s^2

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

Net Force = Mass * Acceleration

Set up a direction convention. Since you already declared +x and -x:

Force (+x) + Force (-x) = Mass * Acceleration
30N - 35N = 5kg * Acceleration
-5N/5kg = Acceleration
-1m/s^2 = Acceleration

Now depending on which direction is negative (left or right?), that is the corresponding direction in which it is accelerating