Question

For a body to be in dynamic equilibrium, its:

• A. momentum should be zero
• B. acceleration should be zero
• C. kinetic energy should be zero
• D. velocity should be zero

Hint:

Remember that "dynamic" implies motion, and "equilibrium" implies zero net force. Zero net force always means zero acceleration, which in turn means constant velocity.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
Equilibrium refers to a state where the net external force acting on a body is zero.
Dynamic equilibrium occurs when a body remains in a state of uniform motion (constant velocity) in a straight line.
Step 2: Detailed Explanation:
According to Newton's Second Law of Motion, \( F_{net} = m \cdot a \).
For a body to be in equilibrium (static or dynamic), the net force \( F_{net} \) must be zero.
If \( F_{net} = 0 \), then the acceleration \( a \) must also be zero.
In dynamic equilibrium, the body has a non-zero constant velocity \( v \), which implies its change in velocity over time is zero, hence \( a = 0 \).
Step 3: Final Answer:
Therefore, for dynamic equilibrium, the acceleration of the body must be zero.