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A moving body of mass 20 kg has 40 joules of kinetic energy Calculate its speed?
  • a)
    1 m/s
  • b)
    1.5 m/s
  • c)
    2 m/s
  • d)
    2.5 m/s
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A moving body of mass 20 kg has 40 joules of kinetic energy Calculate...
Its speed is 2 m/s
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A moving body of mass 20 kg has 40 joules of kinetic energy Calculate...
Understanding Kinetic Energy
Kinetic energy (KE) is the energy possessed by an object due to its motion. The formula to calculate kinetic energy is given by:
KE = (1/2) * m * v²
where:
- KE is the kinetic energy in joules,
- m is the mass in kilograms,
- v is the speed in meters per second.
Given Values
- Mass (m) = 20 kg
- Kinetic Energy (KE) = 40 joules
Calculating Speed
1. Rearranging the equation for speed:
- v² = (2 * KE) / m
2. Plugging in the values:
- v² = (2 * 40) / 20
- v² = 80 / 20
- v² = 4
3. Taking the square root to find speed (v):
- v = √4
- v = 2 m/s
Conclusion
The calculated speed of the moving body is 2 m/s, which corresponds to option 'C'. This calculation shows how kinetic energy relates to the speed of an object and emphasizes the importance of understanding the relationship between mass, energy, and motion in physics.
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A moving body of mass 20 kg has 40 joules of kinetic energy Calculate its speed?a)1 m/sb)1.5 m/sc)2 m/sd)2.5 m/sCorrect answer is option 'C'. Can you explain this answer?
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