A cable lifts a 1200 -kg elevator at a constant velocity for a distance of 35 m . What is the wo

step 1 This problem we have given a cable lifts a 1200 kg elevator at a constant velocity. This is supp

A cable lifts a 1200 -kg elevator at a constant velocity for...

Key Concepts

Work Done by Gravity

The work done by gravity depends on the direction of the displacement relative to the gravitational force. When an object is moved upward against gravity, the work done by the weight is negative because the force of gravity is opposite to the direction of displacement. This concept is essential when calculating energy changes in systems involving elevation changes.

Gravitational Force

Gravitational force, often called weight, is the force exerted by the Earth on any mass and is calculated by multiplying the mass of the object by the acceleration due to gravity. This force always acts in the downward direction and is crucial when analyzing scenarios involving vertical motion, such as lifting or lowering objects.

Constant Velocity and Equilibrium

When an object moves at constant velocity, it implies that the net force acting on the object is zero according to Newton’s first law. This equilibrium condition means that all forces are balanced; for example, in a vertically lifted object, the upward force must exactly counterbalance the downward gravitational force, ensuring there is no acceleration.

Work

Work is a measure of energy transfer and is defined as the product of the force applied, the displacement over which the force is applied, and the cosine of the angle between the force vector and the direction of displacement. It quantifies the effect of forces moving objects—a positive value means energy is imparted to the object, while a negative value indicates energy is removed from the object.

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