Work, Energy, And Power - SS1 Physics Past Questions and Answers - page 2

Potential Energy at the top = Kinetic Energy at the bottom

Potential Energy = Mass × Acceleration due to gravity × Height

Kinetic Energy = (1/2) × Mass × Velocity2

500 kg × 9.8 m/s2 × 30 m = (1/2) × 500 kg × Velocity2

14,700 J = 250 kg × Velocity2

Velocity2 = 58.8 m2/s2

Velocity = √(58.8) ≈ 7.67 m/s

Work done on the box can be calculated using the formula: Work = Force × Distance.

Given:

Force = 50 N

Distance = 15 metres

Work = 50 N × 15 m = 750 Joules

The Work-Energy Theorem is a fundamental principle in physics that relates the work done on an object to its change in kinetic energy. It states that the work done on an object is equal to the change in its kinetic energy. This theorem allows us to analyze and understand the transfer of energy in various physical systems.

The Work-Energy Theorem can be mathematically expressed as:

Work = Change in Kinetic Energy

This equation demonstrates that when work is done on an object, it results in a change in its kinetic energy. If work is positive, it increases the object's kinetic energy, while negative work decreases its kinetic energy.

The significance of the Work-Energy Theorem lies in its ability to provide insights into the connection between work, energy, and motion. It allows us to understand how forces acting on an object can change its energy state and affect its motion.