What is the mass of the body if the exerted force of 10N is accelerated by 5 m/s2?

  1. 1.5 kg
  2. 2.5 kg
  3. 2 kg
  4. 4.5 kg

Answer (Detailed Solution Below)

Option 3 : 2 kg
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Detailed Solution

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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.
  • If a body of mass m moves with velocity  then its linear momentum can be given by  and if force  is applied on a body, then

\(∴ \vec F = m\vec a\)

Where F = Force, m = mass  and a = acceleration

CALCULATION:

Given – F = 10 N and a =  5 m/s2

2ku-1-2

According to the second law of motion,

Force = mass × acceleration

Substituting the value in the formula

F = m × a

10 = m × 5

m = 10/5 = 2kg

Hence, mass of the body is 2 kg

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