What is the force required to produce an acceleration of 9.8 m/s² on a body of weight 9.8N? Take g = 9.8 m/s^2.

Concept:

• Newton’s Second Law: The rate of change of linear momentum of a body is directly proportional to the external force applied on the body and this change takes place always in the direction of the applied force.

Which comes out as,

Force = mass × acceleration

Calculation:

Given,

Acceleration (a) = 9.8 m/s²

Weight of the body = 9.8 N

Since, Weight of the body = mg

⇒ Mass = Weight/g = 9.8/9.8 = 1 kg

We know that,

F = m × a

⇒ F = 1 kg × 9.8 m/s²

⇒ F = 9.8 Newton

Hence the amount of force required is 9.8 Newton.