An old oaken bucket of mass 6.75 kg hangs in a well at the end of a rope. The rope passes over a

step 1 Question number one or part A, the gravity force is acting downwards. So to lift the bucket, we

An old oaken bucket of mass 6.75 kg hangs in a well at the...

An old oaken bucket of mass 6.75 $\mathrm{kg}$ hangs in a well at the end of a rope. The rope passes over a frictionless pulley at the top of the well, and you pull horizontally on the end of the rope to raise the bucket slowly a distance of 4.00 $\mathrm{m} .$ (a) How much work do you do on the bucket in pulling it up? (b) How much work does gravity do on the bucket? (c) What is the total work done on the bucket?

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Work

Work is defined as the transfer of energy by a force acting over a distance. When a force is applied to an object and causes displacement, work is calculated as the dot product of the force and displacement vectors. The concept is fundamental in connecting forces with the energy changes they produce in a physical system.

Gravitational Potential Energy

Gravitational potential energy represents the energy stored in an object due to its position in a gravitational field. When an object is raised to a higher elevation, work is done against the force of gravity, resulting in an increase in its gravitational potential energy. This concept is crucial for understanding energy conservation and the role of gravity in mechanical energy transformations.

Work Done by Conservative Forces

Conservative forces, such as gravity, have the property that the work done by these forces depends only on the initial and final positions of the object, not on the path taken. The work done by gravity is often negative when lifting an object because gravity opposes the displacement, which reflects in a decrease in the kinetic energy provided by that force as described by energy conservation principles.

Transcript

Please give Ace some feedback