Question

The power dissipated by a particle with constant force and constant acceleration is proportional to the:

• A. \( \text{Load} \times \text{Strain} \)
• B. \( \text{Load} \)
• C. \( Y \times \text{Strain} \)
• D. \( \text{Strain} \)

Hint:

For a particle under constant force and acceleration, the power dissipated is directly proportional to the force and the velocity of the particle. The force (or load) plays a crucial role in determining the power dissipation.

Answer 1

The Correct Option is B

The power dissipated by a particle is given by: \[ P = F \cdot v \] Where \( F \) is the force applied on the particle, and \( v \) is the velocity of the particle. Since the particle is moving under constant acceleration, its velocity increases over time due to constant force. Now, power dissipation in a system with constant force and acceleration can be expressed as: \[ P = F \cdot v = F \cdot \left( a \cdot t \right) \] Where \( a \) is the acceleration and \( t \) is the time. Since force \( F \) is directly related to the load and velocity depends on the time, the correct relation for power dissipation would be proportional to load.