With reference to Potential Energy (PE), consider the following statements: 1. It is the energy possessed by an object by virtue of its position or configuration. 2. A speeding car possesses potential energy. 3. The potential energy of an object at a height depends on the acceleration due to gravity. Which of the statements given above is/are correct?

The correct option is (c). Explanation Mechanical energy is broadly classified into Potential Energy (PE) and Kinetic Energy (KE). Potential Energy is the stored energy of an object determined by its position relative to other objects or its internal configuration, whereas Kinetic Energy is the energy associated with the motion of an object. Statement-wise Analysis: - Statement 1 is Correct: Potential Energy is defined as the energy possessed by a body by virtue of its specific position (e.g., water stored in a dam) or configuration (e.g., a compressed spring). It represents the work done against conservative forces to achieve that position or configuration. - Statement 2 is Incorrect: A speeding car is in motion; therefore, the primary form of energy it possesses is Kinetic Energy. Kinetic Energy is defined by the formula $ KE = \frac{1}{2}mv^2 $, where $ v $ is the velocity. While a car may have potential energy if it is at an elevation, the act of "speeding" specifically refers to motion, which characterizes Kinetic Energy, not Potential Energy. - Statement 3 is Correct: The gravitational potential energy of an object raised to a height $ h $ is given by the formula $ PE = mgh $, where $ m $ is the mass of the object and $ g $ is the acceleration due to gravity. Thus, the value of potential energy is directly dependent on the acceleration due to gravity. Key Takeaway: Potential Energy is stored energy resulting from position or configuration (dependent on height and gravity in the gravitational context), while Kinetic Energy is the energy of motion.

With reference to Potential Energy (PE),… - NCERT Class 9 Science MCQ

NCERT Class 9 Science — Chapter 4: Work and energy

mcqeasy

With reference to Potential Energy (PE), consider the following statements:

It is the energy possessed by an object by virtue of its position or configuration.
A speeding car possesses potential energy.
The potential energy of an object at a height depends on the acceleration due to gravity.

Which of the statements given above is/are correct?

NCERT textbook question

From NCERT Science - class 9 · Page 119

Options

A1 and 2 only
B2 only
C1 and 3 only
D1, 2 and 3

Did you get this right?

Solution

The correct option is (c).

Explanation

Mechanical energy is broadly classified into Potential Energy (PE) and Kinetic Energy (KE). Potential Energy is the stored energy of an object determined by its position relative to other objects or its internal configuration, whereas Kinetic Energy is the energy associated with the motion of an object.

Statement-wise Analysis:

Statement 1 is Correct: Potential Energy is defined as the energy possessed by a body by virtue of its specific position (e.g., water stored in a dam) or configuration (e.g., a compressed spring). It represents the work done against conservative forces to achieve that position or configuration.
Statement 2 is Incorrect: A speeding car is in motion; therefore, the primary form of energy it possesses is Kinetic Energy. Kinetic Energy is defined by the formula $ KE = \frac{1}{2}mv^2 $, where $ v $ is the velocity. While a car may have potential energy if it is at an elevation, the act of "speeding" specifically refers to motion, which characterizes Kinetic Energy, not Potential Energy.
Statement 3 is Correct: The gravitational potential energy of an object raised to a height $ h $ is given by the formula $ PE = mgh $, where $ m $ is the mass of the object and $ g $ is the acceleration due to gravity. Thus, the value of potential energy is directly dependent on the acceleration due to gravity.

Key Takeaway:
Potential Energy is stored energy resulting from position or configuration (dependent on height and gravity in the gravitational context), while Kinetic Energy is the energy of motion.

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A car and a truck are moving with the same velocity. If the truck is four times as massive as the car, how does the kinetic energy of the truck compare to that of the car?

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With reference to the nature of work done, consider the following statements: 1. Work done is negative when the force acts in the direction of displacement. 2. Work done is negative when the force acts opposite to the direction of displacement. 3. Work done is maximum when the force acts perpendicular to the displacement. Which of the statements given above is/are correct?

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Consider an object raised to a height $h$. The gravitational potential energy gained by the object depends on: 1. The volume of the object. 2. The height to which it is raised. 3. The acceleration due to gravity at that place. Which of the statements given above is/are correct?

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