If you do 600 Joules of work hoisting a 20 Kg bale of hay, to what height did you lift it?

Energy=mgh solve for height in meters.

To find the height to which you lifted the bale of hay, you can use the formula for gravitational potential energy:

Potential Energy = mgh,

where:
m = mass of the object (20 kg),
g = acceleration due to gravity (approximately 9.8 m/s^2),
h = height to which the object is lifted.

Since work is done in lifting the bale of hay, the work done is equal to the change in potential energy:

Work = Potential Energy final - Potential Energy initial.

In this case, the initial potential energy is zero because the bale of hay is at ground level, and the final potential energy is given by mgh. Therefore, we can set up the following equation:

Work = mgh.

Rearranging the equation, we have:

h = Work / (mg).

Substituting in the given values:

h = 600 Joules / (20 kg x 9.8 m/s^2).

Calculating the value:

h = 600 J / (196 kg x m/s^2).

Simplifying the expression:

h = 3.06 meters.

Therefore, the bale of hay was lifted to a height of approximately 3.06 meters.

To determine the height to which the bale of hay was lifted, we can use the concept of gravitational potential energy. The formula for gravitational potential energy is given as:

Potential energy = mass * gravitational acceleration * height

In this case, the work done (600 Joules) is equal to the change in the potential energy of the bale of hay. We can equate these two values:

Work done = Change in potential energy

Since the bale of hay was lifted vertically against the force of gravity, the work done is positive. Therefore, we can express this equation as:

600 Joules = Potential energy (final) - Potential energy (initial)

The initial potential energy of the bale of hay is zero, assuming it started at ground level. Thus, the equation becomes:

600 Joules = Potential energy (final) - 0

Simplifying further, we get:

Potential energy (final) = 600 Joules

Recalling the formula for potential energy, we can rearrange it to solve for the height (h):

Potential energy = mass * gravitational acceleration * height

Substituting the given values:

600 Joules = 20 Kg * 9.8 m/s^2 * height

Solving for height:

Height = 600 Joules / (20 Kg * 9.8 m/s^2)
Height ≈ 3.06 meters

Therefore, you lifted the bale of hay to a height of approximately 3.06 meters.