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What is the mass of an object that requires a force of 90 N to accelerate at a rate of 2.6 m/s2?

  1. 44.6 kg
  2. 34.6 kg
  3. 54.6 kg
  4. None of these

Answer (Detailed Solution Below)

Option 2 : 34.6 kg
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Detailed Solution

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CONCEPT:

  • Force: The interaction which after applying on a body changes or try to change the state of motion or state of rest is called force.
  • Force is denoted by F and the SI unit is Newton (N).

Force (F) = Mass (m) × acceleration (a)

CALCULATION

Given - Force (F) = 90 N and acceleration (a) = 2.6 m/s2

  • The force required to accelerate a body of mass “m” with acceleration “a” is given by:

⇒ F = ma

⇒ 90  = m × 2.6

⇒ m = 90/2.6 

⇒ m  = 34.6 kg

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