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.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Work and Energy
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.
Practise Work and Energy
748 free Work and Energy MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Physics questions like this
Physics is on 16 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Work and Energy questions
A block hangs freely from the end of a spring. A boy then slowly pushes the block upwards so that the spring becomes strain free. The gain in gravitational potential energy of the block during this process is equal to:
By burning 1 g of coal, the energy produced is 2 kcal. Then for 1 kWh, the quantity of coal required will be nearly:
Two equal masses are attached to the two ends of a spring of spring constant K. They are then pulled out symmetrically so that the spring extends by x. The work done by spring force on each block is:
Choose the correct one.
Each sentence below has a blank indicating that something has been omitted. Choose the word that best fits in with the meaning of the sentence as a whole.As soon as the home team scored, the fans became _ in their excitement.
Choose the correct option