A mass m is lifted to a height h in a uniform gravitational field. What is the work done against gravity?

1 question

1 item

Q: A mass m is lifted to a height h in a uniform gravitational field. What is the work done against gravity?

Solution: The work done against gravity when lifting a mass m to a height h is given by W = mgh.

Steps: 6

Step 1: Understand that work is done when a force moves an object over a distance.
Step 2: Identify the force acting against gravity, which is the weight of the mass (m). The weight is calculated as weight = m * g, where g is the acceleration due to gravity (approximately 9.81 m/s²).
Step 3: Recognize that when you lift the mass to a height h, you are moving it against this gravitational force.
Step 4: Calculate the work done (W) using the formula: W = force * distance. Here, the force is the weight (m * g) and the distance is the height (h).
Step 5: Substitute the values into the formula: W = (m * g) * h.
Step 6: Simplify the equation to get the final formula: W = mgh.