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The kinetic energy of a moving object is dependent on which of the following quantities: i) Mass of the body ii) Square of the velocity iii) Pressure
Only (iii)
Both (i) and (ii)
Only (i)
Both (ii) and (iii)
Both (i) and (ii)
The kinetic energy of a moving object depends directly on its mass and the square of its velocity. According to the formula KE=21тАЛmv2, if either the mass or the velocity of the object changes, its kinetic energy changes proportionally.
The kinetic energy of a moving object depends directly on its mass and the square of its velocity. According to the formula KE=21тАЛmv2, if either the mass or the velocity of the object changes, its kinetic energy changes proportionally.
A fast-moving cricket ball hurts much more when caught than a slowly moving one of the same mass, demonstrating the velocity-squared dependence. Similarly, a heavy truck moving at the same speed as a small car has vastly more kinetic energy due to its larger mass.
MVS: Mass, Velocity Squared!
KE=21тАЛmv2 тАФ Kinetic Energy formula
p=mv тАФ Momentum formula
Kinetic energy is the energy possessed by an object due to its motion. It is a scalar quantity defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Since mass (m) is a scalar and velocity squared (v2) is always positive, kinetic energy is strictly non-negative.
Kinetic energy is directly proportional to the mass (m) of the object.
Kinetic energy is directly proportional to the square of the velocity (v2).
It is a scalar quantity measured in Joules (J).
Pressure is a thermodynamic/fluid property and is not a direct variable in the kinetic energy definition of a particle/object.
Helps in calculating work done and analyzing collisions in mechanics.
Vehicle safety design (stopping distance depends on v2)
Hydroelectric power generation (kinetic energy of flowing water)
SI unit of kinetic energy is Joule (J) or kgтЛЕm2/s2.
Option B states 'Both (i) and (ii)', which correctly identifies mass and square of velocity.
B is correct тАФ Both the mass of the body and the square of its velocity determine its kinetic energy.
Always remember that kinetic energy depends on v2, meaning doubling the speed quadruples the kinetic energy (22=4).
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