An object whose mass is 43 kg is hanging on a thin wire the object has a potential energy of 3160.5 j how high is the object above ground

We are given the mass ($m$), potential energy ($PE$), and we know the acceleration due to gravity ($g$). We need to find the height ($h$).
The formula for gravitational potential energy is:

$$PE = mgh$$

Where:
$PE = 3160.5\ \text{J}$
$m = 43\ \text{kg}$
$g = 9.8\ \text{m/s}^2$ (standard acceleration due to gravity)

To find $h$, we can rearrange the formula:

$$h = \frac{PE}{mg}$$

Substitute the given values into the rearranged formula:

$$h = \frac{3160.5\ \text{J}}{(43\ \text{kg})(9.8\ \text{m/s}^2)}$$ $$h = \frac{3160.5\ \text{J}}{421.4\ \text{kg} \cdot \text{m/s}^2}$$ $$h = 7.5\ \text{m}$$

The height of the object above the ground is:

$$7.5\ \text{m}$$