Join 60,000+ competitive exam aspirants
The kinetic energy of an object of mass 2 kg moving with a velocity of 5 m/s is:
25 Joules
50 Joules
10 Joules
20 Joules
25 Joules
The kinetic energy of an object is the energy it possesses due to its motion. For an object of mass m and velocity v, the kinetic energy is given by the formula KE=21тАЛmv2.
The kinetic energy of an object is the energy it possesses due to its motion. For an object of mass m and velocity v, the kinetic energy is given by the formula KE=21тАЛmv2.
A fast-moving car carries much more destructive potential in a crash than a slow-moving one because its kinetic energy increases with the square of its speed.
KE=21тАЛmv2 тАФ Kinetic energy of a translating body
When a net force acts on an object, it does work on the object, changing its velocity and consequently its kinetic energy according to the work-energy theorem. The energy is directly proportional to the mass and the square of the velocity, meaning doubling the velocity quadruples the kinetic energy.
Kinetic energy is always a non-negative scalar quantity.
The SI unit of kinetic energy is the Joule (J), equivalent to kgтЛЕm2/s2.
Vehicles and transportation safety design
Hydroelectric power generation from flowing water
Given values: mass m=2┬аkg, velocity v=5┬аm/s. Substituting these into the formula: KE=21тАЛ├Ч2├Ч(5)2=25┬аJ.
Option B (50┬аJ) represents a common error where the factor of 21тАЛ is forgotten (mv2).
A is correct тАФ The kinetic energy is calculated as 21тАЛ├Ч2├Ч52=25 Joules.
Pay close attention to whether speed or velocity is squared in mechanical formulas, as missing the exponent or the fraction 21тАЛ is a frequent source of negative marks in competitive exams.