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An object of mass 5 kg is moving with a velocity of 10 m/s. What is its kinetic energy?
50 J
100 J
250 J
500 J
250 J
Kinetic energy is the energy possessed by an object due to its motion. By substituting the mass m=5kg and velocity v=10m/s into the kinetic energy formula, we get EkтАЛ=21тАЛimes5imes(10)2=250J.
Kinetic energy is the energy possessed by an object due to its motion. By substituting the mass m=5kg and velocity v=10m/s into the kinetic energy formula, we get EkтАЛ=21тАЛimes5imes(10)2=250J.
Think of a moving vehicle; doubling the speed makes it four times harder to stop because the kinetic energy depends on the square of the velocity.
K-M-V-S: Kinetic Energy is Mass times Velocity Squared (with a half in front).
EkтАЛ=21тАЛmv2 тАФ Kinetic Energy formula where m is mass and v is velocity
W=╬ФEkтАЛ тАФ Work-Energy Theorem
Kinetic energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. According to the work-energy theorem, the kinetic energy of an object is proportional to the square of its velocity (v2) and directly proportional to its mass (m).
Kinetic energy is a scalar quantity measured in Joules (J).
It depends on the square of the velocity; thus, even a small increase in speed significantly increases kinetic energy.
If the velocity is zero, the kinetic energy of the object is zero.
Useful for calculating impact forces in collision dynamics.
Does not account for potential energy or internal energy changes.
Calculating braking distance of automobiles
Design of safety systems in mechanical engineering
The standard SI unit for kinetic energy is the Joule (J), which is equivalent to kgтЛЕm2/s2.
Option A (50 J) ignores the square of velocity, Option B (100 J) ignores the factor of 1/2 and squaring, Option D (500 J) ignores the factor of 1/2.
C is correct тАФ The kinetic energy is calculated as 21тАЛimes5imes100=250J.
Always square the velocity before multiplying by mass and halving the result to avoid common calculation errors in RRB exams.