Home
Class 12
PHYSICS
Having gone through a plank of thickness...

Having gone through a plank of thickness h, a bullet changed its velocity from `V_(0) " to" v` . Find the time of motion of the bullet in the plank , assuming the resistance force to be proportional to the square of speed of bullet .

Text Solution

Verified by Experts

The correct Answer is:
`t = (h(v_(0)-v_(f)))/(v_(0)v_(f)ln (v_(0)//v_(f)))`
Promotional Banner

Topper's Solved these Questions

  • DAILY PRACTICE PROBLEM

    RESONANCE ENGLISH|Exercise DPP No.17|20 Videos
  • DAILY PRACTICE PROBLEM

    RESONANCE ENGLISH|Exercise DPP No.18|9 Videos
  • DAILY PRACTICE PROBLEM

    RESONANCE ENGLISH|Exercise DPP No.15|20 Videos
  • CURRENT ELECTRICITY

    RESONANCE ENGLISH|Exercise High Level Problems (HIP)|19 Videos
  • ELECTRO MAGNETIC WAVES

    RESONANCE ENGLISH|Exercise Exercise 3|27 Videos

Similar Questions

Explore conceptually related problems

Having gone through a plank of thickness h, a bullet changed its velocity from v_(0) to v_(1) . Find the time of motion of the bullet on the plank, assuming the resistance force to be proportional to the square of the velocity.

A bullet leaving the muzzle of a rifle barrel with a velocity v penetrates a plank and loses one-fifth of its velocity. It then strikes second plank, which it just penetrates through. Find the ratio of the thickness of the planks, supposing the average resistance to the penetration is same in both the cases.

A bullet loses 1//20 of its velocity in passing through a plank. What is the least number of plank required to stop the bullet .

A bullet losses 1/n of its velocity in passing through a plank. What is the least number of plancks required to stop the bullet ? (Assuming constant retardation)

A gun fires N bullets per second, each of mass m with velocity v. The force exerted by the bullets on the gun is :

A bullet of mass 5 g travels with a speed of 500 ms^(-1) .if it penetrates a fixed target which offers a constant resistive force of 1000 N to the motion of the bullet ,find ,(a) the intial Kinetic energy of the bullet penetrated before coming to rest,and (c)the speed with which the bullet emerges out of the target if target is of thickness 0.5 m.

A bullet travelling with a velocity of 16 m/s penetrates a tree trunk and comes to rest in 0.4 m. Find the time taken during the retardation.

A 5.0g bullet moving at 100m//s strikes a log. Assume that the bullet undergoes uniform deceleration and stops in 6.0cm . Find (a) the time taken for the bullet to stop, (b) the impulse on the log and (c) the average force experienced by the log.

The block of mass m is kept on plank of mass M. The block is given velocity V_(0) as shown. The coefficient of friction between the block of mass m and plank of mass M is mu and its value is such that block becomes stationary with respect to plank before it reaches the other end. Then:

A gun is firing bullets with velocity v_0 by rotating it through 360^@ in the horizontal plane. The maximum area covered by the bullets is