A body of mass 4 kg accelerates from 15 m/s to 25 m/s in 5 seconds due to the application of a force on it. Calculate the magnitude of this force (in N).

This question was previously asked in
SSC CHSL Previous Paper 36 (Held On: 4 March 2018 Shift 1)
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  1. 32
  2. 8
  3. 16
  4. 64

Answer (Detailed Solution Below)

Option 2 : 8
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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 02 Aug 2023 Shift 1)
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Detailed Solution

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CONCEPT:

  • Force: Force is a push or pulls 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 - Initial velocity)/time

⇒ a = (v- v1) / t

Where F is the force exerted on the body, m is the mass of the body, a is the acceleration of the body, v2 is the final velocity, v1 is initial velocity and t s time.

Calculation:

Given data:

the mass of the body m = 4 kg, Final velocity v= 25 m/s, Initial velocity v1 = 15 m/s, time t = 5 s.

We know that,

⇒ Acceleration = (Final velocity - Initial velocity)/time

a = (25 - 15)/5 m/s2 = 2 m/s2

Also,

⇒ Force exerted = mass x acceleration

⇒ Force = 4 × 2 = 8 N

  • So option 2 is correct.
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