how do i solve for this..?

please write out the equation for me to understand..:)

an elevator weighing 2.00 * 10^5 N is supported by a steel cable. what is the tension in the cable when the elevator is accelerated upward at a rate of 3.00 m/s^2? (g=9.81 m/s^2)

thanks a lot!

F = M a, where F is the net force on the elevator.

The net force is T - M g, where t is the tension in the cable pulling it up. M g is the weight.
Therefore
T - Mg = Ma
T = M(g + a)

Note that you are given the weight W = Mg and not the mass M.

In terms of the weight,
T = W (1 + a/g)

i'm still a little confused

To solve this problem, 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. In this case, the elevator is being accelerated upward, so we need to find the tension in the cable.

Here's how we can set up the equation:

Step 1: Identify the given values:
- Weight of the elevator (force due to gravity) = 2.00 * 10^5 N
- Acceleration (upward) = 3.00 m/s^2
- Acceleration due to gravity (g) = 9.81 m/s^2

Step 2: Determine the mass of the elevator:
Since weight = mass * acceleration due to gravity, we can rearrange the equation to solve for mass:
mass = weight / acceleration due to gravity

mass = (2.00 * 10^5 N) / (9.81 m/s^2)

Step 3: Substitute the known values into Newton's second law equation:
Force = mass * acceleration

Tension (in the cable) - weight = mass * acceleration

Tension - (2.00 * 10^5 N) = [(2.00 * 10^5 N) / (9.81 m/s^2)] * (3.00 m/s^2)

Step 4: Solve for tension:
To find the tension, we rearrange the equation and isolate the tension term:

Tension = (2.00 * 10^5 N) + [(2.00 * 10^5 N) / (9.81 m/s^2)] * (3.00 m/s^2)

Now you can substitute the values into this equation to calculate the tension in the cable.