Question

the ratio of acceleration produced in two bodies by applying equal force is 1:2. the mass of the body is 2kg, then find the mass of the second body​??

Answer 1

Answer:

mass of the second body = 1 kg

Explanation:

Given :

• The ratio of acceleration produced in two bodies by applying equal force is 1 : 2.
• The mass of the first body is 2 kg

To find :

the mass of the second body.

Solution :

we know,

$\boxed{\tt F=ma}$

where

F denotes the force applied on the object

m denotes the mass of the object

a denotes the acceleration of the object

The force applied on the two bodies is same.

Let it be F

First body,

F = m₁a₁ --(1)

Second body,

F = m₂a₂ --(2)

From both equations,

m₁a₁ = m₂a₂

→ m₂ = m₁ × (a₁/a₂)

Given,

a₁/a₂ = 1/2

m₁ = 2 kg

Substitute,

m₂ = 2 × (1/2)

m₂ = 1 kg

Therefore, mass of the second body is 1 kg