Question

Newton’s second law gives us the relation between force, mass and acceleration viz. F=ma. If

mass is constant then which of the following is correct.

A) F>a

B) F=a

C) F is directly proportional to acceleration.

D) F is inversely proportional to acceleration.​

Answer 1

Given : F=ma.

F = force

m = mass

a = acceleration

mass is constant

To Find : which of the following is correct.

A) F > a

B) F=a

C) F is directly proportional to acceleration.

D) F is inversely proportional to acceleration​

Solution:

Correct option is  C) F is directly proportional to acceleration.

F = ma

m is constant

Hence

F  ∝ a

so F is directly proportional to acceleration.

Info :

Direct variation if a variable increases then other variable also increases with a constant factor   y = kx

inverse variation if a variable increases then other variable decreases with a  constant factor  xy = k

Joint variation is a relationship between atleast three variables,  

where one variable varies directly with all other variables.

y = kxz

Combined Variation  is a relationship between three or more variables where it is in direct variation with few variable  

and in inverse  variation with other variable  y = kx/z

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