Respuesta :
Answer:
The correct option is option (a).
The acceleration of an object is [tex]\frac{33}{7}[/tex] m/s².
Explanation:
Given expression is
[tex]a=a_1+\frac Fm[/tex]
[ divide a whole number by 1 to turn into a fraction. Since [tex]a_1[/tex] is a whole number, so [tex]a_1[/tex] is divided by 1 to turn into a fraction]
[tex]\Rightarrow a=\frac{a_1}{1}+\frac Fm[/tex]
[The l.c.m of the denominators 1 and m is m. Now multiply both numerator and denominator by m of [tex]\frac{a_1}1[/tex] and multiply both numerator and denominator by 1 of [tex]\frac Fm[/tex]]
[tex]\Rightarrow a=(\frac mm\times\frac{a_1}{1})+(\frac 11\times\frac Fm)[/tex]
The correct option is option (a)
Given that,
F= 12.0 kg.m/s² , m=7.00 kg and [tex]a_1[/tex] = 3.00 m/s²
[tex]\therefore a=(\frac mm\times\frac{a_1}{1})+(\frac 11\times\frac Fm)[/tex]
[tex]=(\frac{7.00}{7.00}\times \frac{3.00}{1})+(\frac11\times \frac{12.0}{7.00})[/tex]
[tex]=\frac{21}{7}+\frac{12}{7}[/tex]
[tex]=\frac{21+12}{7}[/tex]
[tex]=\frac{33}{7}[/tex] m/s²
The acceleration of an object is [tex]\frac{33}{7}[/tex] m/s².
