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A particle is moving with a constant spe...

A particle is moving with a constant speed along a straight line path. A force is not required to

A

increase its speed

B

decrease the momentum

C

change the direction

D

keep it moving with uniform velocity

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the situation where a particle is moving with a constant speed along a straight line path and determine which actions can occur without the requirement of a force. ### Step-by-Step Solution: 1. **Understanding Constant Speed:** - A particle moving with constant speed means that its velocity does not change over time. This implies that there is no acceleration acting on the particle. 2. **Newton's Second Law of Motion:** - According to Newton's second law, \( F = m \cdot a \), where \( F \) is the force, \( m \) is the mass, and \( a \) is the acceleration. - If the particle is moving with constant speed, then \( a = 0 \). Therefore, the force \( F \) must also be zero. 3. **Analyzing Each Option:** - **Option A: Increase in Speed** - If the speed is increasing, it means there is acceleration present. Therefore, a force is required to increase the speed. This option is incorrect. - **Option B: Decrease in Momentum** - Momentum is defined as \( p = m \cdot v \). A decrease in momentum implies a change in velocity, which means there is acceleration. Hence, a force is required. This option is incorrect. - **Option C: Change in Direction** - Changing direction while maintaining the same speed implies that the velocity vector is changing, which also indicates acceleration. Thus, a force is required to change direction. This option is incorrect. - **Option D: Keep Moving with Uniform Velocity** - If the particle continues to move with uniform velocity, it means there is no change in speed or direction. According to Newton's first law of motion, a body in motion stays in motion unless acted upon by an external force. Therefore, no force is required to maintain uniform velocity. This option is correct. 4. **Conclusion:** - The only action that can occur without the requirement of a force is keeping the particle moving with uniform velocity. ### Final Answer: The correct option is **D: Keep moving with uniform velocity.**
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