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A body is acted upon by a constant force...

A body is acted upon by a constant force, then it will have a uniform

A

speed

B

velocity

C

momentum

D

acceleration

Text Solution

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The correct Answer is:
To solve the question "A body is acted upon by a constant force, then it will have a uniform...", we need to analyze the effects of a constant force on a body. Let's break it down step by step. ### Step-by-Step Solution: 1. **Understanding Force and Acceleration**: - According to Newton's second law of motion, when a constant force \( F \) is applied to a body of mass \( m \), it produces an acceleration \( a \) given by the formula: \[ F = m \cdot a \] - If the force is constant and the mass of the body is also constant, then the acceleration \( a \) will also be constant. **Hint**: Remember that constant force leads to constant acceleration. 2. **Effect on Velocity**: - The velocity of the body is affected by the acceleration. If the body starts with an initial velocity \( u \) and experiences constant acceleration \( a \), the velocity \( v \) at any time \( t \) can be calculated using the equation: \[ v = u + a \cdot t \] - Since the acceleration is constant, the velocity will change over time. Therefore, the body does not have uniform velocity. **Hint**: Constant acceleration means velocity changes over time. 3. **Effect on Speed**: - Speed is the magnitude of velocity. Since velocity is changing due to constant acceleration, the speed of the body will also change. Hence, the body does not have uniform speed. **Hint**: If velocity is not uniform, speed cannot be uniform either. 4. **Effect on Momentum**: - Momentum \( p \) is defined as the product of mass and velocity: \[ p = m \cdot v \] - Since the velocity is changing due to constant acceleration, the momentum will also change. Therefore, the body does not have uniform momentum. **Hint**: Changing velocity leads to changing momentum. 5. **Conclusion**: - From the analysis, we conclude that when a body is acted upon by a constant force, it will have: - Constant acceleration (due to constant force) - Non-uniform speed (because speed changes with time) - Non-uniform velocity (as velocity changes with time) - Non-uniform momentum (as momentum changes with velocity) Thus, the final answer is that the body will have **uniform acceleration** but not uniform speed, velocity, or momentum. ### Final Answer: - The body will have **uniform acceleration**.

To solve the question "A body is acted upon by a constant force, then it will have a uniform...", we need to analyze the effects of a constant force on a body. Let's break it down step by step. ### Step-by-Step Solution: 1. **Understanding Force and Acceleration**: - According to Newton's second law of motion, when a constant force \( F \) is applied to a body of mass \( m \), it produces an acceleration \( a \) given by the formula: \[ F = m \cdot a ...
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Knowledge Check

  • A body is acted upon by balanced forces

    A
    if it is rest only
    B
    if it is moving with constant speed
    C
    if even number of forces are acting on it
    D
    if it is not accelerating
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    None of these
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    A
    linearly with square root of time
    B
    linearly with time
    C
    linearly with square of time
    D
    inversely with time
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