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 upon an object with mass , the acceleration of the object is . If the same force acts upon another object whose mass is , what is this object's acceleration 19 4 2

Answer 1

The acceleration of the object is 4 m/s².

Step-by-step explanation:

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

`a=(k)/(m)` ...(1)

Let us assume that the question is a certain force acting upon an object with mass 2 kg produces an acceleration of 38 m/s². if the same force acts upon another object whose mass is 19 kg, what would this object's acceleration be

Equation (1) can be written as :

`(a_1)/(a_2)=(m_2)/(m_1)`

Here,

a₁ = 38 m/s², a₂ =?, m₁ = 2 kg, m₂ = 19 kg

So,

`(38)/(a_2)=(19)/(2)\\\\a_2=4\ m/s^2`

So, the acceleration of the object is 4 m/s².