Question

A force of 9 kgf acts on body of mass 4.5 kg. calculate the

acceleration produced in the body. g = 9.8 ms-1.

​

Answer 1

Required Answer :

Acceleration produced in the body = 19.6 m/s²

Given :

• Force acting on a body = 9 kgf

• Mass of the body = 4.5 kg

To find :

• The acceleration produced in the body

Solution :

★ Here, we are given the mass and force acting on the body and we need to calculate the acceleration. So, for that we will use the formula of force. $.$

Formula of force :

• Force = ma

where,

• m denotes the mass of the body
• a denotes the acceleration

From the above formula, we get :

• Acceleration = Force ÷ Mass

we have,

• Force = 9 kgf
• Mass = 4.5 kg

The value of force is in kgf, so firstly we will convert it from kgf into N.

⇒ Force = 9 × 9.8

⇒ Force = 88.2 N

Now, substituting the given values :

⇒ Acceleration = 88.2/4.5

⇒ Acceleration = 8820/450

⇒ Acceleration = 882/45

⇒ Acceleration = 19.6

Acceleration produced in the body = 19.6 m/s²

━━━━━━━━━━━━━━━━━━━━━━━━━

Know more :

Mass :

• It is the amount of matter contained in the body.
• It's S.I. unit is kg.
• Mass = Force ÷ Acceleration

Acceleration :

• It is the rate of change of velocity in a body.
• It's S.I. unit is m/s².