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The kinetic energy of a body of mass 2┬аkg, which is moving with the constant velocity 5┬аm/sec, is ________.
100 joules
25 joules
10 joules
50 joules
25 joules
The kinetic energy of a body is the energy it possesses due to its motion. It is calculated using the formula EkтАЛ=21тАЛmv2, where m is the mass and v is the velocity. Substituting the given values (m=2┬аkg, v=5┬аm/s), we get EkтАЛ=21тАЛ├Ч2├Ч(5)2=25┬аjoules.
The kinetic energy of a body is the energy it possesses due to its motion. It is calculated using the formula EkтАЛ=21тАЛmv2, where m is the mass and v is the velocity. Substituting the given values (m=2┬аkg, v=5┬аm/s), we get EkтАЛ=21тАЛ├Ч2├Ч(5)2=25┬аjoules.
Think of a rolling ball: a heavier ball or a faster-moving ball hurts more when it hits something because it carries more kinetic energy, which scales quadratically with speed.
Half mass times velocity squared: 'Half-M-V-squared'
EkтАЛ=21тАЛmv2 тАФ Kinetic energy formula
p=mv тАФ Linear momentum related to kinetic energy as EkтАЛ=2mp2тАЛ
According to classical mechanics, work-energy theorem states that the work done by a net force on an object equals the change in its kinetic energy. When a body of mass m accelerates from rest to velocity v, the work done is stored as kinetic energy: W=тИлFтЛЕdx=21тАЛmv2.
Kinetic energy is a scalar quantity and is always positive.
It depends linearly on the mass and quadratically on the velocity of the body.
The SI unit of kinetic energy is Joule (J) or kgтЛЕm2/s2.
Allows direct calculation of mechanical energy in moving systems.
Does not account for internal rotational kinetic energy unless specified.
Vehicle safety testing and collision analysis
Hydroelectric power generation (kinetic energy of flowing water)
Option A (100 joules) is obtained if velocity is mistakenly doubled or squared incorrectly.
Option B (100 joules in key / 25 in some options) aligns with the correct arithmetic: 21тАЛ├Ч2├Ч25=25.
C is correct тАФ The kinetic energy of the body is 25 joules calculated using EkтАЛ=21тАЛmv2.
Always verify whether velocity needs to be squared before multiplying by mass in exam numericals to avoid common arithmetic errors.
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