Question

when a constant force acts upon an object the acceleration of the object varies inversely with its mass. when a certain constant force acts ipon an objec twith mass 21khm the accerlation of the object is 3 m/2^2. If the same force acts upon another object whose mass is 9kg. What would this object's acceleration be?

Answer 1

Explanation:

When a constant force acts upon an object the acceleration of the object varies inversely with its mass.

$a\propto \dfrac{1}{m}$

or

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

If m₁ = 21 kg, a₁ = 3 m/s², m₂ = 9 kg

We need to find a₂

So,

$a_2=\dfrac{m_1a_1}{m_2}\\\\a_2=\dfrac{21\times 3}{9}\\\\a_2=7\ m/s^2$

So, if mass is 9 kg, its acceleration is 7 m/s².