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If the velocity of an object is doubled, what happens to its kinetic energy, assuming mass remains constant?
It remains the same
It becomes double
It becomes four times
It becomes half
It becomes four times
Kinetic energy is directly proportional to the square of an object's velocity ┬╖ Therefore, if the velocity is doubled, the kinetic energy increases by a factor of 22, which equals four times its original value.
Kinetic energy is directly proportional to the square of an object's velocity ┬╖ Therefore, if the velocity is doubled, the kinetic energy increases by a factor of 22, which equals four times its original value.
If you double your car's speed on a highway, the energy it possesses to dissipate during braking becomes four times greater, which is why stopping distances increase so drastically at higher speeds.
K-E-V-S: Kinetic Energy is Velocity Squared.
K.E.=21тАЛmv2 тАФ Kinetic energy formula where m is mass and v is velocity
K.E.тИЭv2 тАФ Proportionality relation between kinetic energy and velocity squared
The kinetic energy (K.E.) of an object is defined by the work done to accelerate it from rest ┬╖ Since the formula is K.E.=21тАЛmv2, the kinetic energy scales quadratically with the velocity (v) ┬╖ If v becomes 2v, the new energy becomes K.E.тА▓=21тАЛm(2v)2=4├Ч(21тАЛmv2).
Kinetic energy is a scalar quantity.
The SI unit of kinetic energy is Joule (J).
Doubling velocity results in a 300% increase in kinetic energy, totaling 400% of the initial value.
Useful for calculating impact forces and energy requirements in mechanical systems.
Does not account for energy lost as heat or sound during motion changes.
Traffic safety regulations regarding speed limits.
Designing crumple zones in automobiles to manage high kinetic energy during collisions.
The proportionality is strictly K.E.тИЭv2.
Option B is incorrect because it confuses direct linear proportionality with square proportionality.
Option D is incorrect because it assumes inverse proportionality.
C is correct тАФ Since kinetic energy is proportional to the square of velocity, doubling the velocity results in a fourfold increase in energy.
Always identify whether a physical quantity relates to the variable directly, its square, or its square root to solve RRB/SSC physics problems quickly.