A body of mass 6 kg accelerates from 6 m/s to 18 m/s in 3 seconds due to the application of a force on it. Calculate the magnitude of this force (in N).
Concept:
- Force: Force is a push or pull on an object. A force can cause an object to accelerate, slow down, remain in place, or change shape.
Force exerted = mass x acceleration
F = m × a
Acceleration = (Final velocity(v) - Initial velocity(u))/ time
\(a = \frac{{v - u}}{t}\)
Where F is the force exerted on the body, m is mass of the body, a is the acceleration of the body, v is final velocity, u is initial velocity and t s time.
Calculation:
Given,
Mass of body = 6 kg.
Change in velocity = (18 - 6) = 12 m/s
Time= 3 sec
Acceleration = 12/ 3 = 4m/s2
Force = mass × acceleration
Force = 6 × 4 = 24 Newton.
Hence the correct option is 24 Newton




