Respuesta :
Answer:
The acceleration of the second object is 4 m/s².
Explanation:
Given that,
when the a constant force acts upon an object, the acceleration varies inversely with its mass .
[tex]mass\propto \frac{1}{acceleration}[/tex]
We can rewrite the equation as
[tex]\frac{m_1}{m_2}=\frac{a_2}{a_1}[/tex]
When an a certain constant force acts upon an object with mass 2 kg , the acceleration of the object is 26 m/s².
Here, [tex]m_1[/tex] = 2 kg, [tex]a_1[/tex] = 26 m/s²,[tex]m_2[/tex] = 13 kg and [tex]a_2=?[/tex]
[tex]\frac{m_1}{m_2}=\frac{a_2}{a_1}[/tex]
[tex]\frac{2}{13}=\frac{a_2}{26}[/tex]
[tex]\Rightarrow \frac{a_2}{26}= \frac{2}{13}[/tex]
[tex]\Rightarrow {a_2}= \frac{2}{13}\times 26[/tex]
[tex]\Rightarrow a_2=4[/tex] m/s²
The acceleration of the second object is 4 m/s².
