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Classical Mechanics Level 1

A certain equation A + B = C + D A+B=C+D is dimensionally correct. If the units of B B are N/m 2 ^2 then what are the units of C ? C?

F / A F/A N / m 2 N/m^2 m m N N

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Sâish Ssõrkâr by Sâish ßõrkâr , 22, India

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4 solutions

Discussions for this problem are now closed

Víctor Martín
Aug 7, 2014

You can't sum values with different units. So, the answer is N/m²

19 Helpful 0 Interesting 0 Brilliant 0 Confused

if the units of B are means? it is a single thing

Imtiaz Tarik - 6 years, 10 months ago

One can't add N/m and N/m^2, for example.

Liam Clink - 6 years, 8 months ago
Soumen Goswami
Oct 29, 2014

All the quantities A,B,C,D have the same dimensions. D is added to C and so the dimensions of D is the same as C . The dimensions of LHS must be the same as RHS, and since RHS is a simple addition, each term must have the same dimension and therefore the same unit.

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Luzuko Mjwara
Aug 24, 2014

you cannot add 2 units in the same equation

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Moderator note:

This solution has been marked wrong. You should say that you cannot add 2 DIFFERENT units in the same equation.

Piu Das
Aug 16, 2014

only dimensionally same figures can be added by dimensional analysis and also the resultant while summing them up always has same dimensions

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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