Question

When a constant force acts upon an object, the acceleration of the object varies inversely with its mass 2kg. When a certain constant force acts upon an object with mass , the acceleration of the object is 26m/s^2 . If the same force acts upon another object whose mass is 13 , what is this object's acceleration

Answer 1

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 .

$mass\propto \frac{1}{acceleration}$

We can rewrite the equation as

$\frac{m_1}{m_2}=\frac{a_2}{a_1}$

When an a certain constant force acts upon an object with mass 2 kg , the acceleration of the object is 26 m/s².

Here, $m_1$ = 2 kg, $a_1$ = 26 m/s²,$m_2$ = 13 kg and $a_2=?$

$\frac{m_1}{m_2}=\frac{a_2}{a_1}$

$\frac{2}{13}=\frac{a_2}{26}$

$\Rightarrow \frac{a_2}{26}= \frac{2}{13}$

$\Rightarrow {a_2}= \frac{2}{13}\times 26$

$\Rightarrow a_2=4$ m/s²

The acceleration of the second object is 4 m/s².