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Which of the following statements is inc...

Which of the following statements is incorrect?

A

Kinetic energy may be zero, positive or negative

B

Power, energy and work are all scalars

C

Potential energy may be zero, positive or negative

D

Ballistic pendulum is a device for measuring the speed of bullets

Text Solution

AI Generated Solution

The correct Answer is:
To determine which statement is incorrect among the given options, we will analyze each statement one by one. ### Step 1: Analyze Kinetic Energy - Kinetic energy (KE) is given by the formula: \[ KE = \frac{1}{2} mv^2 \] where \(m\) is mass and \(v\) is velocity. - Since \(v^2\) (the square of velocity) is always non-negative (i.e., it can be zero or positive), it follows that kinetic energy cannot be negative. Therefore, the statement "Kinetic energy may be zero, positive or negative" is incorrect. ### Step 2: Analyze Power, Energy, and Work - Power, energy, and work are all scalar quantities. Scalars have magnitude but no direction. - Thus, the statement "Power, energy and work are all scalars" is correct. ### Step 3: Analyze Potential Energy - Potential energy (PE) can be zero, positive, or negative depending on the reference point chosen. - For example, gravitational potential energy can be negative if the object is below a chosen reference level. Therefore, the statement "Potential energy may be zero, positive or negative" is correct. ### Step 4: Analyze the Ballistic Pendulum - A ballistic pendulum is indeed a device used to measure the speed of bullets by capturing the bullet in a pendulum and measuring the resulting motion. - Therefore, the statement "Ballistic pendulum is a device for measuring the speed of bullets" is correct. ### Conclusion After analyzing all statements: - The incorrect statement is the first one: "Kinetic energy may be zero, positive or negative." ### Final Answer The incorrect statement is: **Kinetic energy may be zero, positive or negative.** ---

To determine which statement is incorrect among the given options, we will analyze each statement one by one. ### Step 1: Analyze Kinetic Energy - Kinetic energy (KE) is given by the formula: \[ KE = \frac{1}{2} mv^2 \] where \(m\) is mass and \(v\) is velocity. ...
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