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A bullet travelling with a velocity of 16m/s penetrates a tree trunk and come to rest in 0.4m.find the time taken during the retardation?
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A bullet travelling with a velocity of 16m/s penetrates a tree trunk a...
Calculation of Time Taken during Retardation of Bullet
Given Data:
- Initial velocity of the bullet, u = 16 m/s
- Distance travelled by the bullet while stopping, s = 0.4 m
- Final velocity of the bullet, v = 0 m/s (bullet comes to rest)
Formula:
The formula to calculate the time taken during retardation of the bullet is:
v = u + at
Where,
- u = initial velocity of the bullet
- v = final velocity of the bullet
- a = acceleration of the bullet
- t = time taken by the bullet to come to rest
We know that the bullet comes to rest after covering a distance of 0.4 m. Hence, we can use the equation of motion to calculate the acceleration of the bullet.
Equation of Motion:
The equation of motion for a body under retardation is:
v^2 = u^2 - 2as
Where,
- u = initial velocity of the bullet
- v = final velocity of the bullet
- a = acceleration of the bullet
- s = distance travelled by the bullet
Calculation:
Substituting the given values in the equation of motion, we get:
0^2 = 16^2 - 2a(0.4)
Simplifying the above equation, we get:
a = 128 m/s^2
Now, using the formula v = u + at, we can calculate the time taken by the bullet to come to rest:
0 = 16 + (128)t
Simplifying the above equation, we get:
t = 0.125 s
Answer:
Therefore, the time taken during the retardation of the bullet is 0.125 seconds.
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A bullet travelling with a velocity of 16m/s penetrates a tree trunk a...
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A bullet travelling with a velocity of 16m/s penetrates a tree trunk and come to rest in 0.4m.find the time taken during the retardation?
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A bullet travelling with a velocity of 16m/s penetrates a tree trunk and come to rest in 0.4m.find the time taken during the retardation? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A bullet travelling with a velocity of 16m/s penetrates a tree trunk and come to rest in 0.4m.find the time taken during the retardation? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bullet travelling with a velocity of 16m/s penetrates a tree trunk and come to rest in 0.4m.find the time taken during the retardation?.
A bullet travelling with a velocity of 16m/s penetrates a tree trunk and come to rest in 0.4m.find the time taken during the retardation? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A bullet travelling with a velocity of 16m/s penetrates a tree trunk and come to rest in 0.4m.find the time taken during the retardation? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bullet travelling with a velocity of 16m/s penetrates a tree trunk and come to rest in 0.4m.find the time taken during the retardation?.
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