Question

A particle moving with velocity \(\bar{V}\) is acted by three forces shown by the vector triangle \(PQR\). The velocity of the particle will:

• A. increase
• B. decrease
• C. remain constant
• D. change according to the smallest force \(\overrightarrow{QR}\)

Answer 1

The Correct Option is C

To determine how the velocity of a particle will change when it is acted upon by three forces represented as a vector triangle \(PQR\), we need to apply the concept of equilibrium in physics.

In a vector triangle, if the vectors form a closed triangle, it indicates that the net force acting on the system is zero. This is based on the principle of equilibrium, where the forces balance each other out.

1. The given triangle \(PQR\) shows three forces acting on the particle.
2. Since these forces form a closed triangle, the net force is zero: \( \overrightarrow{PQ} + \overrightarrow{QR} + \overrightarrow{RP} = 0 \).
3. When the net external force acting on a particle is zero, according to Newton's first law of motion, the particle will maintain its state of motion.
4. This means that the velocity of the particle will remain constant as no unbalanced force is acting on it to change its state.

Therefore, the correct answer is that the velocity of the particle will remain constant.