A force F→= 8iˆ - 6jˆ - 10kˆ Newton produces an acceleration of 1ms-2 in a body. The mass of the body is:
Correct answer: B. Option B
- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation
Understanding the ProblemWe are given a force vector and the acceleration it produces.We need to find the mass of the body.Newton's second law states that F = ma, where F is the force, m is the mass, and a is the acceleration.Steps to SolveFind the magnitude of the force:The force is given as F→ = 8iˆ - 6jˆ - 10kˆ Newton.The magnitude of the force (F) is calculated as:F = √(8² + (-6)² + (-10)²)F = √(64 + 36 + 100)F = √200F = 10√2 Newtons.Apply Newton's second law:F = maWe are given that the acceleration (a) is 1 m/s².Therefore, m = F / am = (10√2) / 1m = 10√2 kg.
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Work transfers energy when a force causes displacement, while kinetic energy, gravitational potential energy and power describe motion, position and the rate of energy transfer. The work-energy theorem links net work with change in kinetic energy, and efficiency accounts for energy losses rather than treating them as energy destruction.
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