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In a certain system, the units of length, mass and time are chosen to be 1 cm, 100 g and 10 s. The unit of kinetic energy will be (1)?
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In a certain system, the units of length, mass and time are chosen to ...
Kinetic Energy Formula
The kinetic energy (KE) of an object is calculated using the formula:
KE = 1/2 mv²
Where:
- m = mass
- v = velocity
Unit of Mass
In this system:
- The mass is defined as 100 g, which is equivalent to 0.1 kg (since 1 kg = 1000 g).
Unit of Length
- Length is defined as 1 cm, which is equivalent to 0.01 m (since 1 m = 100 cm).
Unit of Time
- Time is defined as 10 s.
Velocity Calculation
To determine the unit of kinetic energy, we first need to express velocity in terms of our chosen units.
- Velocity (v) = Distance/Time
- Using the new units, if an object travels 1 cm in 10 s, the velocity will be:
v = 1 cm / 10 s = 0.01 m / 10 s = 0.001 m/s
Substituting Values
Now, substituting the units of mass and velocity into the kinetic energy formula:
- KE = 1/2 (0.1 kg) (0.001 m/s)²
Calculating this gives:
- KE = 1/2 * 0.1 * 0.000001 = 0.00000005 kg*m²/s²
Final Unit of Kinetic Energy
The unit of kinetic energy in this system will be:
- 0.00000005 Joules (J)
This demonstrates how unit conversions affect the final expression for kinetic energy in this unique measurement system.
The kinetic energy (KE) of an object is calculated using the formula:
KE = 1/2 mv²
Where:
- m = mass
- v = velocity
Unit of Mass
In this system:
- The mass is defined as 100 g, which is equivalent to 0.1 kg (since 1 kg = 1000 g).
Unit of Length
- Length is defined as 1 cm, which is equivalent to 0.01 m (since 1 m = 100 cm).
Unit of Time
- Time is defined as 10 s.
Velocity Calculation
To determine the unit of kinetic energy, we first need to express velocity in terms of our chosen units.
- Velocity (v) = Distance/Time
- Using the new units, if an object travels 1 cm in 10 s, the velocity will be:
v = 1 cm / 10 s = 0.01 m / 10 s = 0.001 m/s
Substituting Values
Now, substituting the units of mass and velocity into the kinetic energy formula:
- KE = 1/2 (0.1 kg) (0.001 m/s)²
Calculating this gives:
- KE = 1/2 * 0.1 * 0.000001 = 0.00000005 kg*m²/s²
Final Unit of Kinetic Energy
The unit of kinetic energy in this system will be:
- 0.00000005 Joules (J)
This demonstrates how unit conversions affect the final expression for kinetic energy in this unique measurement system.
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In a certain system, the units of length, mass and time are chosen to be 1 cm, 100 g and 10 s. The unit of kinetic energy will be (1)?
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In a certain system, the units of length, mass and time are chosen to be 1 cm, 100 g and 10 s. The unit of kinetic energy will be (1)? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In a certain system, the units of length, mass and time are chosen to be 1 cm, 100 g and 10 s. The unit of kinetic energy will be (1)? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a certain system, the units of length, mass and time are chosen to be 1 cm, 100 g and 10 s. The unit of kinetic energy will be (1)?.
In a certain system, the units of length, mass and time are chosen to be 1 cm, 100 g and 10 s. The unit of kinetic energy will be (1)? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In a certain system, the units of length, mass and time are chosen to be 1 cm, 100 g and 10 s. The unit of kinetic energy will be (1)? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a certain system, the units of length, mass and time are chosen to be 1 cm, 100 g and 10 s. The unit of kinetic energy will be (1)?.
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