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An object weighing 88 N is pushed by a 100 N force. What is the acceleration of the object?

Sagot :

Given data:

* The weight of the object is 88 N.

* The force acting on the object is 100 N.

Solution:

The weight of the object in terms of the mass of the object is,

[tex]W=mg[/tex]

where m is the mass of the object, and g is the acceleration due to gravity,

Substituting the known values,

[tex]\begin{gathered} 88=m\times9.8 \\ m=\frac{88}{9.8} \\ m=8.98\text{ kg} \end{gathered}[/tex]

According to Newton's second law, the acceleration of the object in terms of the force acting on the object is,

[tex]F=ma[/tex]

where a is the acceleration of the object,

Substituting the known values,

[tex]\begin{gathered} 100=8.98\times a \\ a=\frac{100}{8.98} \\ a=11.14ms^{-2} \end{gathered}[/tex]

Thus, the acceleration of the object is 11.14 meters per second squared.