Question

Difficulty: MediumWork, Energy, and Power

In mechanical systems, energy exists in various forms and can be transferred or transformed to accomplish tasks. Match each mechanical scenario with the primary physical concept it illustrates.

  • A compressed coil spring held inside an automotive suspension assemblyElastic potential energy stored due to mechanical deformation
  • A heavy flywheel rotating at high speed in a regenerative braking mechanismKinetic energy stored within the motion of a mass
  • An electric winch delivering energy to lift cargo at a specified rate per secondMechanical power representing the rate at which work is performed
  • A hydraulic cylinder exerting a constant force to slide a steel container across a level floorMechanical work accomplished by applying a force over a displacement

Answer

Compressed suspension spring matches Elastic potential energy stored due to mechanical deformation; Rotating flywheel matches Kinetic energy stored within the motion of a mass; Electric winch delivering energy per second matches Mechanical power representing the rate at which work is performed; Hydraulic cylinder sliding a container matches Mechanical work accomplished by applying a force over a displacement.
Each scenario directly exemplifies a fundamental physical definition in mechanics: holding a compressed spring stores elastic potential energy, a spinning flywheel stores rotational kinetic energy, rating an output by energy transferred per second defines power, and exerting a force across a distance performs work.

Step-by-Step Solution

1
Identify the state of energy in the compressed coil spring.
The spring is stationary but held under compression, meaning potential energy is stored in its elastic structure.
Elastic potential energy is stored when an object is temporarily deformed by a force.
2
Determine the physical quantity represented by the rotating flywheel.
The flywheel possesses energy by virtue of its continuous physical motion.
Any moving mass possesses kinetic energy, whether in linear or rotational motion.
3
Analyze the action of the electric winch delivering energy per unit time.
Energy delivered per second defines the rate of doing work, which is power.
Power is defined as work done divided by time (P=WtP = \frac{W}{t}).
4
Evaluate the hydraulic cylinder moving a crate with a force across a distance.
A force acting over a displacement performs mechanical work (W=F⋅dW = F \cdot d).
Work is the transfer of energy that occurs when an applied force causes a displacement.

Key Concept

Work, Energy, and Power Definitions and Transformations
Estimated Time:1m 15s
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