All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
Class 11 Exam  >  Class 11 Questions  >  A bullet travelling with a velocity of 16m/s ... Start Learning for Free
SaveJoin the Discussion on the App
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?
Clear all your Class 11 doubts with EduRev
Most Upvoted Answer
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.
Community Answer
A bullet travelling with a velocity of 16m/s penetrates a tree trunk a...
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
Explore Courses for Class 11 exam

Similar Class 11 Doubts

Ballistic pendulumThe ballistic pendulum was invented in 1742 by English mathematician Benjamin Robins. A Ballistic Pendulum is a device for measuring a bullet’s momentum and speed by employing perfectly inelastic collision. A large wooden block suspended by two cords serves as the pendulum bob. When a bullet is fired into the bob, it gets embedded in the bob and its momentum is transferred to the bob. The bullet’s momentum and velocity can be determined from the amplitude of the pendulum swing. The velocity of the bullet, in turn, can be derived from its calculated momentum.After collision, if the pendulum reaches a height h, then from principle of conservation of mechanical energywhere,m = mass of bulletM = mass of the bobvP = velocity of the bob-bullet combination∴ Now, Momentum before collision = Momentum after collisionwhere,vB = velocity of bullet∴ The ballistic pendulum used to be a common tool for the determination of the muzzle velocity of bullets as a measure of the performance of firearms and ammunition (Nowadays, the ballistic pendulum. has now been replaced by the ballistic chronograph, an electronic devic e).A ballistic pendulum of 1 kg is fired with a bullet of mass 1 g. If the pendulum rises 2 cm, find the velocity of the bullet.

Ballistic pendulumThe ballistic pendulum was invented in 1742 by English mathematician Benjamin Robins. A Ballistic Pendulum is a device for measuring a bullet’s momentum and speed by employing perfectly inelastic collision. A large wooden block suspended by two cords serves as the pendulum bob. When a bullet is fired into the bob, it gets embedded in the bob and its momentum is transferred to the bob. The bullet’s momentum and velocity can be determined from the amplitude of the pendulum swing. The velocity of the bullet, in turn, can be derived from its calculated momentum.After collision, if the pendulum reaches a height h, then from principle of conservation of mechanical energywhere,m = mass of bulletM = mass of the bobvP = velocity of the bob-bullet combination∴ Now, Momentum before collision = Momentum after collisionwhere,vB = velocity of bullet∴ The ballistic pendulum used to be a common tool for the determination of the muzzle velocity of bullets as a measure of the performance of firearms and ammunition (Nowadays, the ballistic pendulum. has now been replaced by the ballistic chronograph, an electronic devic e).Which two principles of Physics are applied to find the velocity of the bullet?

Top Courses for Class 11View all

Top Courses for Class 11

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?
Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for Class 11. Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of 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 detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an ample number of questions to practice 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? tests, examples and also practice Class 11 tests.
Explore Courses for Class 11 exam

Top Courses for Class 11

Explore Courses

Suggested Free Tests

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup