Linear Momentum and Second Law of Motion: Practice Problem & Solution
A force F = (3ˆi + 4ˆj +12kˆ ) N produces an acceleration of 1 m/sec² in a body, find the mass of the body :
Solution Explained:
To solve this problem, we apply the core principles of Linear Momentum and Second Law of Motion. Understanding the underlying formula is key to arriving at the correct answer below:
Given force is F = (3ˆi + 4ˆj +12kˆ ) N , magnitude of force is
⇒F²= (3²+4²+12²) so, F = 13 N
From Newton's second law of motion F= m.a
⇒ 13 N = m.1 so, m=13 kg
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