Question

Write out on paper (and take a picture), or type out (if it is easier), the three equations of newton’s second law (ma = fnet = all the component forces summed with proper signs for directions). be clear about which equation corresponds to which object, and which direction.

Answer 1

Unfortunately, as a text-based AI, I am unable to provide a picture. However, I can type out the three equations of Newton's second law for you.

Step-by-step explanation:

Newton's second law of motion 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 expressed as Fnet = ma, where Fnet represents the net force, m is the mass of the object, and a is the acceleration.

To break down Newton's second law further, we can consider the three equations based on the three axes of motion: x-axis, y-axis, and z-axis.

On the x-axis, the equation is Fnet_x = ma_x, where Fnet_x represents the net force in the x-direction, m is the mass of the object, and a_x is the acceleration in the x-direction.

On the y-axis, the equation is Fnet_y = ma_y, where Fnet_y represents the net force in the y-direction, m is the mass of the object, and a_y is the acceleration in the y-direction.

On the z-axis, the equation is Fnet_z = ma_z, where Fnet_z represents the net force in the z-direction, m is the mass of the object, and a_z is the acceleration in the z-direction.

These three equations allow us to analyze the forces and accelerations acting on an object in three-dimensional space.

By summing all the component forces with proper signs for directions, we can determine the net force acting on the object in each axis and calculate the corresponding acceleration using Newton's second law.

Answer 2

Newton's Second Law is described by equations that correlate the net force with mass and acceleration: Σ Fx = max for horizontal forces, Σ Fy = may for vertical forces, and the general form Fnet = ma.

Step-by-step explanation:

When applying Newton's Second Law of motion, it is essential to assess the system for acceleration in each direction to properly write net force equations.

If there's no acceleration, the net force equals zero.

Conversely, a nonzero acceleration leads to a net force (Fnet) described by the equation Fnet = ma.

In the horizontal direction, if an object is accelerating, then the net force acting along the x-axis (Fnet_x) is given by Fnet_x = max.

If there's no acceleration, Fnet_x = 0.

In the vertical direction, a similar approach is used, where the net force in the y-axis (Fnet_y) is given by Fnet_y = may if there is vertical acceleration, or Fnet_y = 0 if there is no acceleration.

Therefore, the three key equations reflecting Newton's Second Law for an object can be summarized as:

In the horizontal direction: Σ Fx = max

In the vertical direction: Σ Fy = may

General form: Fnet = ma

It is important to check the reasonableness of your answers and confirm that your units are correct once the equations are applied.