When the speed of a moving body is doubled (A) Its acceleration is doubled (B) Its momentum is d

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When the speed of a moving body is doubled (A) Its...

Key Concepts

Potential Energy

Potential energy is the energy stored in an object due to its position, configuration, or state. For example, gravitational potential energy depends on an object's height and mass. This energy is not directly affected by changes in speed, which is why altering speed does not inherently change an object's potential energy that is conditional on factors such as position in a force field.

Acceleration

Acceleration is defined as the rate at which an object's velocity changes over time. It indicates how quickly an object speeds up, slows down, or changes direction. Acceleration is independent of the current speed, and a doubling of speed does not inherently imply a doubling of acceleration, as acceleration depends on changes in speed over time rather than the speed itself.

Linear Momentum

Linear momentum is a vector quantity defined as the product of an object's mass and its velocity. It has a direct, linear relationship with speed, meaning that if the speed is doubled while the mass remains constant, the momentum will also double. This concept is fundamental in analyzing motion and conservation laws in physics.

Kinetic Energy

Kinetic energy is the energy possessed by an object due to its motion and is given by the formula ½mv², where m is the mass and v is the speed. Because the speed is squared in the formula, any change in speed affects the kinetic energy quadratically. Therefore, doubling the speed results in a fourfold increase in kinetic energy, demonstrating a non-linear relationship.

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