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Calculate the kinetic energy of a body of mass 10 kg moving with a velocity of 5 m/s.
125 J
250 J
50 J
100 J
125 J
Kinetic energy is the energy possessed by a body due to its motion. For a body of mass 10┬аkg moving at 5┬аm/s, the energy is calculated as K.E.=21тАЛmv2, which yields 125┬аJ.
Kinetic energy is the energy possessed by a body due to its motion. For a body of mass 10┬аkg moving at 5┬аm/s, the energy is calculated as K.E.=21тАЛmv2, which yields 125┬аJ.
Think of a rolling ball: a heavier ball hitting a pin has more impact (momentum), but the speed of the ball increases its energy much faster than its weight does.
Remember 'Half-M-V-Squared': K.E.=21тАЛmv2.
K.E.=21тАЛmv2 тАФ Formula for Kinetic Energy where m is mass and v is velocity
p=mv тАФ Relationship between momentum and velocity
According to the Work-Energy Theorem, the kinetic energy of an object is equal to the work required to accelerate it from rest to its current velocity. The value depends linearly on mass and quadratically on velocity. Doubling the velocity quadruples the kinetic energy, whereas doubling the mass only doubles it.
Kinetic energy is a scalar quantity.
The SI unit of kinetic energy is Joule (J), where 1┬аJ=1┬аkgтЛЕm2/s2.
Kinetic energy is always non-negative.
Predicts the potential damage or work capacity of moving objects.
Does not account for rotational kinetic energy unless specified.
Design of vehicle braking systems.
Ballistics and projectile motion analysis.
Standard constant: The value 0.5 in the formula arises from the integration of force (F=ma) over distance (d=21тАЛat2).
Option B (250 J) is a common error resulting from forgetting the 21тАЛ factor; Option C (50 J) results from forgetting the square on velocity (10├Ч5=50); Option D (100 J) results from misapplying the formula.
A is correct тАФ The kinetic energy is calculated by multiplying half the mass (5┬аkg) by the square of the velocity (25┬аm2/s2), resulting in 125┬аJ.
Always square the velocity before multiplying by mass in K.E. calculations; students often mistakenly double the velocity instead of squaring it.
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