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A particle of mass 6kg have initinal velocity 15m/s. A constant force of 30N applied on the object along the direction of velocity, for 8 second. Find acceleration?
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A particle of mass 6kg have initinal velocity 15m/s. A constant force ...
Understanding the Problem
To find the acceleration of a particle subjected to a constant force, we will use Newton's second law of motion. The law states that force (F) equals mass (m) multiplied by acceleration (a).
Given Data
- Mass of the particle (m): 6 kg
- Initial velocity (u): 15 m/s
- Applied force (F): 30 N
- Time (t): 8 seconds
Finding Acceleration
1. Using Newton's Second Law
According to Newton's second law:
F = m * a
Rearranging the formula gives us:
a = F / m
2. Substituting the Values
- F = 30 N
- m = 6 kg
So,
a = 30 N / 6 kg
a = 5 m/s²
Conclusion
The acceleration of the particle is 5 m/s². This means that for every second the force is applied, the particle's velocity will increase by 5 m/s along the direction of the applied force.
This analysis shows how a constant force can effectively change the velocity of a particle over time, illustrating the fundamental principles of motion and force.
To find the acceleration of a particle subjected to a constant force, we will use Newton's second law of motion. The law states that force (F) equals mass (m) multiplied by acceleration (a).
Given Data
- Mass of the particle (m): 6 kg
- Initial velocity (u): 15 m/s
- Applied force (F): 30 N
- Time (t): 8 seconds
Finding Acceleration
1. Using Newton's Second Law
According to Newton's second law:
F = m * a
Rearranging the formula gives us:
a = F / m
2. Substituting the Values
- F = 30 N
- m = 6 kg
So,
a = 30 N / 6 kg
a = 5 m/s²
Conclusion
The acceleration of the particle is 5 m/s². This means that for every second the force is applied, the particle's velocity will increase by 5 m/s along the direction of the applied force.
This analysis shows how a constant force can effectively change the velocity of a particle over time, illustrating the fundamental principles of motion and force.
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A particle of mass 6kg have initinal velocity 15m/s. A constant force of 30N applied on the object along the direction of velocity, for 8 second. Find acceleration?
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A particle of mass 6kg have initinal velocity 15m/s. A constant force of 30N applied on the object along the direction of velocity, for 8 second. Find acceleration? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A particle of mass 6kg have initinal velocity 15m/s. A constant force of 30N applied on the object along the direction of velocity, for 8 second. Find acceleration? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass 6kg have initinal velocity 15m/s. A constant force of 30N applied on the object along the direction of velocity, for 8 second. Find acceleration?.
A particle of mass 6kg have initinal velocity 15m/s. A constant force of 30N applied on the object along the direction of velocity, for 8 second. Find acceleration? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A particle of mass 6kg have initinal velocity 15m/s. A constant force of 30N applied on the object along the direction of velocity, for 8 second. Find acceleration? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass 6kg have initinal velocity 15m/s. A constant force of 30N applied on the object along the direction of velocity, for 8 second. Find acceleration?.
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