Question

A 20N force and a 15N force act at the same time on an object(body) of mass 14kg. calculate:
i) the maximum possible force on the object due to these two forces.
ii)the acceleration caused by a resultant force equal to the maximum force.

Answer 1

The net acting will be 5N.
so,the maximum possible force acting on the body must be 5N.
the accerlation of body can be gained by the relation : F= mass×accerlation.

F=5N
M=14kg
A= F/M=5/14

Answer 2

Given :

A 20 N force and a 15 N force act at the same time on an object .

To Find :

i) the maximum possible force on the object due to these two forces.

ii)the acceleration caused by a resultant force equal to the maximum force.

Solution :

( i )

We know , maximum possible force is :

$F_{max}=F_1+F_2\\\\F_{max}=20+15\ N\\\\F_{max}=35\ N$

( ii )

The acceleration caused by a resultant force equal to the maximum force is given by :

$F_{max}=ma\\\\a=\dfrac{F_{max}}{m}\\\\a=\dfrac{35}{14}\ m/s^2\\\\a=2.5\ m/s^2$

Hence , this is the required solution .

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