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In the new system the unit of mass is 10 times the unit of length is 10 times and unit of time is 100 times the SI unit then the value of 1J in the new system of unit is 10 ^a then a is?
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In the new system the unit of mass is 10 times the unit of length is 1...
Introduction:
In the given problem, we have to find the value of 1J in the new system of unit where the unit of mass is 10 times, the unit of length is 10 times and the unit of time is 100 times the SI unit.
Solution:
Given,
- The unit of mass is 10 times the SI unit, so the new unit of mass is 10 kg (since 1 kg is the SI unit of mass).
- The unit of length is 10 times the SI unit, so the new unit of length is 10 m (since 1 m is the SI unit of length).
- The unit of time is 100 times the SI unit, so the new unit of time is 100 s (since 1 s is the SI unit of time).
To find the value of 1J in the new system of unit, we can use the formula for kinetic energy:
KE = (1/2)mv^2
where m is the mass, v is the velocity and KE is the kinetic energy.
Since we know that 1J is the SI unit of energy, we can find the value of 1J in the new system of unit by converting the values of mass, length, and time to their new units.
Conversion of units:
- 1J = (1/2)mv^2
- mass = 1 kg (since 1J = 1 kg m^2 s^-2 in the SI system)
- length = 1 m (since 1J = 1 N m = 1 kg m^2 s^-2 in the SI system)
- time = 1 s (since 1J = 1 W s = 1 kg m^2 s^-2 in the SI system)
- velocity = 1 m/s (chosen arbitrarily)
Substituting the values, we get:
1J = (1/2)(10 kg)(1 m/s)^2
1J = 5 kg m^2 s^-2
Final answer:
Therefore, the value of 1J in the new system of unit is 5 kg m^2 s^-2, which can be written as 10^a in scientific notation as follows:
1J = 5 x 10^0 kg m^2 s^-2
a = 0
In the given problem, we have to find the value of 1J in the new system of unit where the unit of mass is 10 times, the unit of length is 10 times and the unit of time is 100 times the SI unit.
Solution:
Given,
- The unit of mass is 10 times the SI unit, so the new unit of mass is 10 kg (since 1 kg is the SI unit of mass).
- The unit of length is 10 times the SI unit, so the new unit of length is 10 m (since 1 m is the SI unit of length).
- The unit of time is 100 times the SI unit, so the new unit of time is 100 s (since 1 s is the SI unit of time).
To find the value of 1J in the new system of unit, we can use the formula for kinetic energy:
KE = (1/2)mv^2
where m is the mass, v is the velocity and KE is the kinetic energy.
Since we know that 1J is the SI unit of energy, we can find the value of 1J in the new system of unit by converting the values of mass, length, and time to their new units.
Conversion of units:
- 1J = (1/2)mv^2
- mass = 1 kg (since 1J = 1 kg m^2 s^-2 in the SI system)
- length = 1 m (since 1J = 1 N m = 1 kg m^2 s^-2 in the SI system)
- time = 1 s (since 1J = 1 W s = 1 kg m^2 s^-2 in the SI system)
- velocity = 1 m/s (chosen arbitrarily)
Substituting the values, we get:
1J = (1/2)(10 kg)(1 m/s)^2
1J = 5 kg m^2 s^-2
Final answer:
Therefore, the value of 1J in the new system of unit is 5 kg m^2 s^-2, which can be written as 10^a in scientific notation as follows:
1J = 5 x 10^0 kg m^2 s^-2
a = 0
Community Answer
In the new system the unit of mass is 10 times the unit of length is 1...
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In the new system the unit of mass is 10 times the unit of length is 10 times and unit of time is 100 times the SI unit then the value of 1J in the new system of unit is 10 ^a then a is?
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In the new system the unit of mass is 10 times the unit of length is 10 times and unit of time is 100 times the SI unit then the value of 1J in the new system of unit is 10 ^a then a is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In the new system the unit of mass is 10 times the unit of length is 10 times and unit of time is 100 times the SI unit then the value of 1J in the new system of unit is 10 ^a then a is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the new system the unit of mass is 10 times the unit of length is 10 times and unit of time is 100 times the SI unit then the value of 1J in the new system of unit is 10 ^a then a is?.
In the new system the unit of mass is 10 times the unit of length is 10 times and unit of time is 100 times the SI unit then the value of 1J in the new system of unit is 10 ^a then a is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In the new system the unit of mass is 10 times the unit of length is 10 times and unit of time is 100 times the SI unit then the value of 1J in the new system of unit is 10 ^a then a is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the new system the unit of mass is 10 times the unit of length is 10 times and unit of time is 100 times the SI unit then the value of 1J in the new system of unit is 10 ^a then a is?.
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