i am going a center of gravity problem, with the x=w1(x1)+w2x2..../ W1+W2..

and i keep getting the wrong answer can someone please tell me what i am doing wrong this is the problem:Four objects are situated along the y axis as follows: a 1.94 kg object is at +3.27 m, a 2.76 kg object is at +2.18 m, a 2.78 kg object is at the origin, and a 3.99 kg object is at -0.360 m. Where is the center of gravity of this system?

This is my equation: 1.94(3.27) + (2.76)(2.18) + (2.78)(0)+ (3.99)(-0.36)/ (1.94)+ 3.99+2.78+2.76

To determine the center of gravity of a system, you need to calculate the weighted average of the individual objects' positions. The equation you provided is correct, but you made a mistake in the denominators. Let's go through the correct calculation step by step:

1. Calculate the products of each object's mass and position:
- Object 1: 1.94 kg × 3.27 m = 6.34 kg*m
- Object 2: 2.76 kg × 2.18 m = 6.01 kg*m
- Object 3: 2.78 kg × 0 m = 0 kg*m (as it is at the origin)
- Object 4: 3.99 kg × (-0.360 m) = -1.44 kg*m (note the negative sign)

2. Sum up the individual products:
6.34 kg*m + 6.01 kg*m + 0 kg*m - 1.44 kg*m = 11.91 kg*m

3. Calculate the sum of the masses:
1.94 kg + 2.76 kg + 2.78 kg + 3.99 kg = 11.47 kg

4. Divide the sum of the products by the sum of the masses to obtain the center of gravity:
Center of gravity = 11.91 kg*m / 11.47 kg ≈ 1.04 m

So, the center of gravity of this system is approximately located at +1.04 m along the y-axis.