
Write the relationship between-
(i) kgf and newton
(ii) gf and dyne
Answer
495.6k+ views
Hint:All the given units are units of force. Kgf is the gravitational metric unit, and Newton is S.I. unit of force, gf is a metric unit of force, and dyne is the unit of force in a centimeter-gram-second system. We will be establishing the relationship between all the given units by converting them into the S.I. unit system.
Complete step by step answer:
(i) One kilogram-force (kgf) is the value of force due to gravity on a body of mass . Mathematically, we can write:
……(1)
Here m is the mass of the body, and g is the acceleration due to gravity.
We know that the value of acceleration due to gravity is .
Substitute for g and for m in equation (1).
(ii) Gram force (gf) is the value of force due to gravity on a body of mass .
Here is the mass of the body.
Substitute for g and for in the above expression.
……(2)
We know that the value of dyne in terms of newton is given as:
Substitute for in equation (2).
Therefore, the relation between one kgf is equal to , and one gf is equal to .
Note: It would be better if we remember converting units of force into different units of units.There are various systems of units such as the centimetre-gram-second (CGS) system, foot-pound-second (FPS) system, and system Internationale (S.I.) system. But the S.I. the unit system is mostly followed by mathematicians and scientists.
Complete step by step answer:
(i) One kilogram-force (kgf) is the value of force due to gravity on a body of mass
Here m is the mass of the body, and g is the acceleration due to gravity.
We know that the value of acceleration due to gravity is
Substitute
(ii) Gram force (gf) is the value of force due to gravity on a body of mass
Here
Substitute
We know that the value of dyne in terms of newton is given as:
Substitute
Therefore, the relation between one kgf is equal to
Note: It would be better if we remember converting units of force into different units of units.There are various systems of units such as the centimetre-gram-second (CGS) system, foot-pound-second (FPS) system, and system Internationale (S.I.) system. But the S.I. the unit system is mostly followed by mathematicians and scientists.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
Recently Updated Pages
Master Class 11 Business Studies: Engaging Questions & Answers for Success

Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 Computer Science: Engaging Questions & Answers for Success

Master Class 11 Maths: Engaging Questions & Answers for Success

Master Class 11 English: Engaging Questions & Answers for Success

Trending doubts
Which one is a true fish A Jellyfish B Starfish C Dogfish class 11 biology CBSE

Difference Between Prokaryotic Cells and Eukaryotic Cells

1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

1 Quintal is equal to a 110 kg b 10 kg c 100kg d 1000 class 11 physics CBSE

Net gain of ATP in glycolysis a 6 b 2 c 4 d 8 class 11 biology CBSE
